Mensuration Pyq
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shubhayan484Mensuration Pyq
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shubhayan484Pinnacle Day:19th - 28th Mensuration
● Height of triangle = P1+P2+P3 Try remembering them.
Mensuration
) Scalene Triangle – All sides will be
2 QUADRILATERAL
2- D: Under 2 dimensions we will study unequal lengths.
● Triangles figure enclosedbyfoursidesiscalled
A
● Quadrilateral a quadrilateral. A quadrilateral has four
● Polygons anglesandsumoftheseanglesisequal
● Circle to 360° .
3 - D: Under 3 dimensions we will study Area = 𝑠 (𝑠 − 𝑎)(𝑠 − 𝑏)(𝑠 − 𝑐 ), Special Cases:
● ube
C his formula is called Heron's
T ) Parallelogram - It is a quadrilateral
1
● Cuboids formula. with opposite sides parallel and equal.
● Box Where, Semi-perimeter,
● Cylinder
𝑎+𝑏+
𝑐
● Prism 𝑠 =
2
● Cone
● Perimeter =𝑎 + 𝑏 + 𝑐
● Pyramid
● Frustum
) Isosceles Triangle :- two sides and
3 ● Area = base x height
● Sphere
twoanglesareequal.Altitudebisectsthe ● Perimeter = 2 (a + b)
● Hemisphere
base.
● Tetrahedral ●
2 2 2
𝑑1 +𝑑2 = 2(𝑎 +𝑏 )
2
ote: For2Dfigures,areaandperimeter
N ● In a parallelogram, opposite
arecalculatedandfor3Dfigures,volume sidesareequal,oppositeangles
and surface area are calculated. are equal and diagonals bisect
each other.
TWO DIMENSIONAL FIGURES
) Rhombus- It is a parallelogram with
2
𝑏 2 2
● Area = 4𝑎 − 𝑏
all four sides equal. The opposite angles
TRIANGLE 4
in a rhombus are equal.
𝑏 2
For a triangle with height, h, and base, b; ● Height =
2
𝑎 − ( )
2
1
Area = × 𝑏× ℎ
1 2 2
2 = 4𝑎 − 𝑏
2
Perimeter = Sum of all sides
● Perimeter =𝑎 + 𝑎 + 𝑏
= 2𝑎 + 𝑏
Special cases:
) Right angled Triangle :- One of the
4 Here, a = side;𝑑1 and𝑑2 are diagonals.
) Equilateral Triangle - All sides are
1
angles is 90° .
equal and each angle is60°.
1
● Area = × 𝑑1 × 𝑑2
2
1 2 2
● Side (a) = 𝑑1 + 𝑑2
2
● Perimeter = 4a
2 2 2
● 4𝑎 = 𝑑1 + 𝑑2
3 2 Diagonals bisect each other
● Area = 𝑎
4 Here, p = perpendicular , b = base and at right angles .
3 h = hypotenuse
● Height = 𝑎 ) Trapezium – Itisaquadrilateralwith
3
2
1 one pair of opposite sides parallel.
● Perimeter = 3𝑎 ● Area = × 𝑏× 𝑝
2
𝑎 ● Perimeter =𝑝 + 𝑏 + ℎ
● Inradius(r) =
2 3 ● Pythagoras Theorem:
𝑎 2 2 2
● Circumradius(R) = ℎ = 𝑝 + 𝑏
3
𝑝+𝑏
−ℎ
● Inradius(r) =
2
ere, a and bareparallelsidesandhis
H
ℎ
● Circumradius(R) = the height or perpendicular distance
2
between a and b.
Note:Common Pythagoras triplets:
1
( 1,1, 2);(1,2, 5); (3,4,5);(5,12,13); ● Area = × ℎ𝑒𝑖𝑔ℎ𝑡
2
(7, 24, 25); (20, 21, 29), (9, 40, 41); × (𝑠 𝑢𝑚𝑜𝑓𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙𝑠 𝑖𝑑𝑒𝑠)
If P1, P2 and P3 are perpendicular to a (8, 15, 17) (12, 35, 37) (60, 11, 61)
1
side from a point inside the triangle, then = ×
ℎ
× (𝑎 + 𝑏)
(65, 72 97) (96, 110, 146). 2
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Pinnacle Day:19th - 28th Mensuration
4)Rectangle– It is a parallelogram with = 180° − Exterior angle gure has changed (increased or
fi
equal opposite sides and each angle is 90° ● Number of diagonals decreased) by a% then its perimeter
● Area = Length× Breadth = L× B 𝑛( 𝑛−
3
) also changes by a%. In the case of a
= circle such changes take place
● Perimeter = 2 (L + B) 2
because of the change in radius (or
2 2
● Sum of all interior angles
● Diagonal (d) = 𝐿 + 𝐵 diameter).
=(𝑛 − 2) × 180
● rea of the walls of a
A 5. If the area of a square is ‘a’ square
● Sum of all exterior angle = 360° unit. Then the area of the circle formed
rectangular room
with the same perimeter is given by
=2× (𝐿 + 𝐵)×
𝐻 CIRCLE
square units.
6. Area of a square inscribed in a
)Square–Itisaparallelogramwithall
5 It is aplanefigureenclosedbyalineon
2
foursidesequalandeachangleisequal whicheverypointisequallydistantfrom ircle of radius ‘r’ is equal to2𝑟 .
c
to 90° . a fixed point (centre) inside the circle. 7. The area of the largest triangle
inscribed in a semicircle of radius r is
2
qual to𝑟 .
e
8. If a pathway of width x is made inside
or outside a rectangular plot of length
L and breath B, then area of the
2
2 2 1 2 ● Area= π𝑟 pathway is
● Area =(𝑠 𝑖𝑑𝑒) = 𝑎 = 2 𝑑
● Circumference (perimeter ) (i) 2𝑥 ), if path is
(𝐿 + 𝐵 + 2𝑥
● Perimeter = 4× side = 4a made outside the plot
=2π𝑟
● Diagonal (d) = a 2 (ii)2𝑥(𝐿 + 𝐵 − 2𝑥), if a path is
● Diameter = 2r
made inside the plot.
● Length of Arc (AB)
9.Iftwopaths,eachofwidthxaremade
OTE:
N Important points about
θ parallel to length (L) and breadth (B) of
Quadrilaterals =2π𝑟×
360° the rectangular plot inthemiddleofthe
● Area of sector AOB plot crossing each other, then,
1. The diagonals of a parallelogram
2 θ Area of the path =𝑥(𝐿 + 𝐵 − 𝑥)
bisect each other. =π𝑟 ×
360°
2. Diagonal of a parallelogram divides it THREE DIMENSIONAL FIGURES
● L ength ofArc (AB)= 𝑎𝑛𝑔𝑙𝑒 ×
into two triangles of equal area. CUBE
𝑟𝑎𝑑𝑖𝑢𝑠, (where angle in radian)
3. The diagonals of a rectangle are of
equal lengths and bisect each other. CIRCULAR RING
4. The diagonals of a square are equal
and bisect each other at right angles.
5. A rhombus has unequal diagonals and ll sides are equal. It hassixfacesand
A
they bisect each other at right angles. 12 edges.
3
6. A parallelogram and a rectangle have ● Volume =𝑎
equal areas if they are on the same Here, R = radius of bigger ring , ● Total surface area = 6𝑎
2
base and between the same parallel r = radius of smaller ring
● Diagonal =𝑎 3
2 2
Lines. ● Area =π(𝑅 − 𝑟 ) ● Sum of all edges = 12a
● ifference in circumference of
D Here, a = length of the side
REGULAR POLYGON both the rings =2π𝑅 − 2π𝑟
CUBOID
In a regular polygon all sides and all Short Cut methods/Tricks
interior angles are equal. A polygon is
rectangularbodyhaving3Drectangular
A
called a pentagon, hexagon ,heptagon, 1. If the length and breadth of a rectangle shape, is called a cuboid.
octagon,nonagonandadecagonasthey are increased by a% and b%, the area
have 5, 6, 7 , 8, 9, 10 sides, respectively. of the rectangle will be increased by
If each side of a regular polygon of ‘n’ 𝑎𝑏
(𝑎 + 𝑏+ )%
sides is equal to ‘a’ then: 100
● Area of regular pentagon 2. If any of the two sides of the ● Volume =𝑙× 𝑏× ℎ
6.9 2
rectangle is decreased then use ‘–ve’ ● Total surface area =
= × 𝑎 values for that side.
4 2(𝑙𝑏 + 𝑏ℎ + 𝑙ℎ)
● Area of regular hexagon 3. All the sides of any two dimensional
2 2 2
figure changed by a%, then its area will ● Diagonal = 𝑙 + 𝑏 + ℎ
3 2 2
=6× 𝑎
𝑎
4 change by (2a+ )% BOX
100
360° A box has its shape like a cube or cuboid.
● ach exterior angle =
E henever there is a decrease, use
W
𝑛
negative value for ‘a’ The amount that a box can hold or
● Each interior angle . If all the sides of any two dimensional
4
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Pinnacle Day:19th - 28th Mensuration
contain is called the capacity of the box. ● Volume of hollow cylinder ● imilarly, Cone formed by
S
Capacity means internal volume. 2 2 rotating right angled triangle
=π(𝑅 − 𝑟 )ℎ
about its hypotenuse :
● Curved surface area
Volume of cone so formed
=2π(𝑅 + 𝑟)ℎ
2
1
● Total surface area = π𝑟 𝑐 ,(whereristhealtitude
3
2 2
=2π(𝑅 + 𝑟)
ℎ + 2π(𝑅 − 𝑟 ) 𝑎×
𝑏
n hypotenuse and r =
o )
𝑐
=2π(𝑅 + 𝑟){ℎ + 𝑅 − 𝑟}
● urface area of an open box
S ote: If the base is not round, itwillbe
N
=2(length+breadth)× height here, R = External radius o
W f called a pyramid. A pyramid can have
+ length × breadth various shapes of the base example:
cylinder , r = internal radius of
=2( 𝑙 + 𝑏)
× ℎ + 𝑙× 𝑏 square, rectangular, triangular etc.
cylinder , h = height
● apacity of box
C
=(𝑙 − 2𝑡) ( 𝑏 − 2𝑡 )(ℎ − 2𝑡); PRISM PYRAMID
where, t = thickness of box
● olume of the material of the
V ● Volume of prism ● yramidmeansastructurewith
P
box=Externalvolume–Internal = area of base× height regular polygonasitsbaseand
volume( or capacity) = sloping sides that meet in a
● ateralsurfacearea=Perimeter
L
𝑙𝑏ℎ − (𝑙 − 2𝑡)(𝑏 − 2𝑡) point at the top.
(ℎ − 2𝑡) of base× height
● InPyramid,withnsidedregular
● otal surface Area = Lateral
T polygon at its base, total
ROOM surfacearea+areaofbaseand number of vertices = n + 1
top surface
rectangular room has four walls
A
1
● Volume = ×base area × height
(surfaces)andoppositewallshaveequal 3
CONE
area. 2 2
● Slant height (l) = 𝑟 + ℎ
● Total Area of walls
solidandroundbodywitharoundbase
A ● Lateral surface area
=2(𝑙 + 𝑏)× ℎ and pointed peak. 𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟×
𝑠𝑙𝑎𝑛𝑡ℎ
𝑒𝑖𝑔ℎ𝑡
● Total volume of the room =
2
=𝑙× 𝑏× ℎ ● otal Surface area = Lateral
T
● Area of floor or roof =𝑙× 𝑏 surface area + Area of base
CYLINDER TETRAHEDRON
1
● Volume = × 𝑏𝑎𝑠𝑒𝑎𝑟𝑒𝑎 × It is a 3D figure made by joining four
3
2
1 equilateral triangles.
height = π𝑟 ℎ
3
2 2
● Slant height (
𝑙) = 𝑟 + ℎ
● Volume of cylinder = area of ● Curved surface area =π𝑟𝑙
2 2 2
base× height =π𝑟 ℎ = π𝑟 𝑟 + ℎ ● Volume (V)
● urvedsurfacearea=Perimeter
C 2 1
● otal surface area = π𝑟𝑙 + π𝑟
T = 3 ×𝑏𝑎𝑠𝑒𝑎𝑟𝑒𝑎×ℎ𝑒𝑖𝑔ℎ𝑡
of base× height =2π𝑟ℎ
= π𝑟(𝑙 + 𝑟)
● otal surface Area = curved
T
1 3
● one formed by rotating right
C ⇒ V = × 4
surface area +areaofboththe 3
angled triangle about its height:
circles
2
=2π𝑟ℎ + 2π𝑟 = 2π(𝑟 + ℎ)𝑟
2
𝑎 × ( 6
12
𝑎 +
6
4 )
𝑎
● hen the rectangular sheet is
W 2 3
foldedalongitslength,thenthe ⇒ V = 𝑎 (Remember this formula)
12
length becomes the
3 2
circumference of the base of ● Lateral surface area =3× a
4
the cylinder and breadth
● Volume of cone so formed ● Total surface area
becomes the height of the
cylinder.
1 2 3 2
= π𝑏 𝑎 = 4 × a
3 4
HOLLOW CYLINDER ● imilarly, Cone formed by
S 6
● Height of Tetrahedron = 3 𝑎
rotating right angled triangle
about its base:
FRUSTUM OF CONE
Volume of cone so formed
1 2 If a cone iscutbyaplaneparalleltoits
= π𝑎 𝑏
3 base, so as to divide the cone into two
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Pinnacle Day:19th - 28th Mensuration
arts:upperpartandlowerpart,thenthe
p .9. The inner and outer radii of a
Q
Variety Questions
lower part is called frustum. hemispherical wooden bowl are 6 cm
.1. At what angleisthearclengthhalf
Q and8cm,respectively.Itsentiresurface
the perimeter of the circle? has to be polished and the cost of
SSC CGL 17/09/2024 (1st Shift) polishing πcm2 isRs.50.Howmuchwill
(a) 120° (b) 180° (c) 90° (d) 270° it cost to polish the bowl?
SSC CHSL 08/07/2024 (4th Shift)
.2.Whatisthecentralangleofasector
Q (a) Rs.11,600 (b) Rs.11,400
● Slant height (l)
ofacirclewhoseareaandperimeterare, (c) Rs.10,000 (d) Rs.12,000
2 2
= ℎ + (𝑅 − 𝑟) respectively,equalto209cm2 and63cm
.10.Whichofthefollowingstatements
Q
● Curved Surface Area if it is given that its radius is a
is INCORRECT about the circle?
non-negative integer (roundup to one
=π(𝑅 + 𝑟)
𝑙 SSC CHSL 08/07/2024 (4th Shift)
decimal place) ?
● Total surface area
1
SSC CGL 10/09/2024 (3rd Shift) (a) The area of a sector = (arc length
2 2 2
=π(𝑅 + 𝑟)
𝑙 + π𝑅 + π𝑟 (a) 55.5° (b) 53.5° (c) 49.5° (d) 51.5° × R)
2
=π{(𝑅 + 𝑟)𝑙 + 𝑅 + 𝑟 }
2
(b) The radius of an incircle of an
.3.Theareaofasquareis16𝑥²+40𝑥+
Q
𝑠
1 2 2 25squareunits.Findtheperimeterofthe equilateral triangle of side 's' is
● πh(
Volume = 𝑟 + 𝑅
+ 𝑟𝑅) 2 3
3 square. (c) The length of an arc =
SSC CGL 10/09/2024 (3rd Shift) 𝑐𝑒𝑛𝑡𝑟𝑎𝑙𝑎𝑛𝑔𝑙𝑒𝑚
𝑎𝑑𝑒𝑏
𝑦𝑡 ℎ𝑒𝑎𝑟𝑐
SPHERE (a) 3(10𝑥+ 8) (b) 3(8𝑥+ 10) × πr2.
360°
(c) 2(10𝑥+ 8) (d) 2(8𝑥+ 10) (d) Circles are congruent if they have
3
4 same radii while similar circles may
● olume of sphere = π𝑟
V
3 .4. A right triangle with sides 3 cm, 4
Q have different radii.
● Curved Surface area cm and 5 cm isrotatedaboutthesides
of 3 cm to form a cone. Thevolumeof .11. The average of the areas of 2
Q
2
= Total surface area =4π𝑟 similar triangles is 706.5 m² whose
the cone so formed is:
SSC CGL 10/09/2024 (2nd Shift) perimetersareintheratioof6:11.What
HOLLOW SPHERE OR (a) 20π cm3 (b) 16π cm3 is 20% of thedifference(inm²)inareas
SPHERICAL SHELL: (c) 25π cm 3
(d) 28π cm3 of both triangles ?
SSC CHSL 08/07/2024 (1st Shift)
● Volume of hollow sphere Q.5. Find thearea(incm²)ofthesector (a) 164 (b) 149 (c) 153 (d) 157
4 64
3 3
π(𝑅 − 𝑟 )
= whose perimeter is cm and central .12. Two equal circles are drawn ona
Q
3 3
2 22 square in such awaythatoppositeside
● Internal surface area =4π𝑟 ngle is 60°. (Use π =
a ) ofthesquareformsthediameterofeach
7
● External surface area =4π𝑅
2
SSC CGL 09/09/2024 (3rd Shift) circle.Iftheremainingareaofthesquare
Here R = external radius and 47 77 68 85 is 42 cm2, what is the measurement(in
(a) (b) (c) (d)
3 3 3 3 cm) of the diameter of each circle?
r = internal radius
SSC CHSL 02/07/2024 (2nd Shift)
.6. A cuboid with dimensions 20cm,
Q
(a) 14 (b) 2.5 (c) 7 (d) 3.5
HEMISPHERE 12cm, and 10 cm is cut into 8identical
pieces by 3 cuts. What will be the total .13. The ratio of the diameters oftwo
Q
surface area of all the pieces? spheres is given as 1 : 4. The larger
SSC CHSL 10/07/2024 (3rd Shift) sphere is melted and 125 identical
(a) 2240 cm² (b) 1220 cm² spheres are made out of the molten
(c) 3360 cm² (d) 1680 cm² material. The smaller sphere is melted
● Volume of the hemisphere and27identicalspheresaremadeoutof
2 .7. A rectangle with thelargestareais
Q
= π𝑟3 the molten material. If the ratio of the
3 cut out of a circle with radius 5 units.
volume of each of the 125 identical
2 What is the area of the remaining
● Total surface area =3π𝑟 spheres tothevolumeofeachofthe27
portion?
2 identical spheresisgivenas1:m,what
● Curved surface area =2π𝑟 SSC CHSL 10/07/2024 (1st Shift)
is the value of m ?
Where, r = radius (a) 25(2π - 3) (b) 25(2π - 5)
SSC CHSL 01/07/2024 (1st Shift)
(c) 25(π - 3) (d) 25(π - 2) 1728 25
1 27 64
IMP. UNIT CONVERSION : (a) (b) (c) (d)
125 1728 8000 3375
.8. A cylinder has a curved surface
Q
3
● 1𝑚
= 1000 litres and areaequalto350%ofthecurvedsurface .14. Two rectangular sheets of paper,
Q
● litre = 1000𝑐 𝑚
1
3
area ofanothercylinder.Iftheirradiiare each 60 cm×36cm,aremadeintotwo
● 1 meter = 10 decimeter in the ratio 3:1,thenthevolumeofthe rightcircularcylinders,onebyrollingthe
= 100 cm = 1000 millimeter smaller cylinder isapproximately_____% paper along its length and the other
−1
ofthelargercylinder(thesmallercylinder along the breadth. The ratio of the
● 1 meter = 10 decameter has its radius and height smaller when volumes of the two cylinders, thus
−2
=10 hectometer compared to the larger). formed, is:
−3 SSC CHSL 09/07/2024 (1st Shift) SSC CPO 29/06/2024 (3rd Shift)
=10 kilometer
(a) 10.16 (b) 8.86 (c) 7.28 (d) 9.52 (a) 5 : 6 (b) 8 : 3 (c) 7 : 4 (d) 5 : 3
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Pinnacle Day:19th - 28th Mensuration
.15. Threecircleseachofradius5cm
Q iameter 36 cm. When the container is
d SC MTS 12/09/2023 (3rd Shift)
S
touch one another. The area (in cm²) full of medicine, the medicine is (a) 3 : 2 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
subtended between them is: transferredtosmallcylindricalbottlesof
SSC CPO 28/06/2024 (3rd Shift) diameter 6 cm and height 6 cm. How .29.Ahemisphericaldomeofabuilding
Q
π π many bottles are required to empty the needstobepainted.Ifthecircumference
(a) 50 ( 3- ) (b) 25 ( 3
+ ) ofthebaseofthedomeis154cm,then
2 2 container ?
π π SSC CPO 04/10/2023 (2nd Shift) find the cost of painting itifthecostof
(c) 25 ( 2 3
- ) (d) 25 ( 3 - ) 22
2 2 (a) 70 (b) 75 (c) 72 (d) 76 painting is ₹4 per 100 cm² (useπ = ).
7
.16. A gear 15 cm in diameter is
Q .23. Thelengthandthebreadthofthe
Q SC CHSL 10/08/2023 (4th Shift)
S
turning a gear 21 cmindiameter.When floor of a rectangular hall are 126 feet (a) ₹150.92 (b) ₹ 150.66
the smaller gear has 105 revolutions, and90feet,respectively.Whatwillbethe (c) ₹ 105.29 (d) ₹ 105.66
how many has the larger one made? area (in square feet) of each of the
SSC CPO 28/06/2024 (3rd Shift) largest identical squaretilesthatcanbe .30. The area of a sectorofacircleis
Q
(a) 75 (b) 100 (c) 85 (d) 90 usedtotilethisfloorinawaythatnopart 616cm2 withacentralangleof10°.The
of the floor remains uncovered? 22
radius of the circle is _____.(use π = )
.17. A solid metal cylinder of 12 cm
Q 7
SSC CPO 03/10/2023 (3rd Shift)
height and 7 cm radius is melted and SC CHSL 08/08/2023 (2nd Shift)
S
(a) 196 (b) 256 (c) 324 (d) 484
recastintotwoconesintheproportionof (a) 84 cm (b) 21 cm (c) 48 cm (d) 28 cm
1:2(volume),keepingtheheight12cm. .24. The radiioftheendsofafrustum
Q
.31.Findthevolumeofthelargestright
Q
Whatwouldbethepercentagechangein of a solidright-circularcone45cmhigh
circular cone thatcanbecutoutfroma
the flat surface area before and after are 28 cm and 7 cm. If this frustum is
1
22 melted and reconstructed into a solid cube whose edge is 3
cm, correct to
[useπ = ] ? 2
7 right circular cylinder whose radius of
22
SC CPO 28/06/2024 (3rd Shift)
S baseandheightareintheratio3:5,find two places of decimals (use π = ).
7
(a) 35% (b) 20% (c) 45% (d) 50% the curved surface area (in cm2) ofthis
SC CHSL 07/08/2023 (4th Shift)
S
22
.18. Three solid iron cubesofedges8
Q cylinder. [Useπ = .] (a) 13.21 cm³ (b) 21.31 cm³
7
cm, 10 cm and 12 cm are melted (c) 11.23 cm³ (d) 12.13 cm³
SC CPO 03/10/2023 (1st Shift)
S
together to make a new cube. It is (a) 4610 (b) 4620 (c) 4580 (d) 4640 .32. Thesumoftheradiusofthebase
Q
observed that 496 cm³ of the melted andtheheightofacylinderis42m.Ifthe
materialislostduetoimproperhandling. .25. Asquareandarhombushavethe
Q
totalsurfaceareaofthecylinderis6336
Thearea(incm²)ofthewholesurfaceof same base and the rhombus isinclined 2
at 45°, then what willbetheratioofthe , find the curved surface area of the
𝑚
the newly formed cube is :
area of the square to the area of the cylinder correct to two places of
Matriculation Level 26/06/2024 (Shift - 1)
rhombus? 22
(a) 1331 (b) 1176 (c) 2197 (d) 3375 decimals (use π = )
7
SSC MTS 14/09/2023 (3rd Shift)
.19.Ifthesemi-perimeterandareaofa
Q SSC CHSL 02/08/2023 (4th Shift)
(a) 3: 1 (b) 1 : 3 (c) 2: 3 (d) 2: 1 2 2
rectangular field whose length and (a) 2157.43𝑚 (b) 2571.43𝑚
breadth are 'x' and 'y' is 12 cm and 28 .26. A closed wooden box measures
Q (c) 2715.43𝑚
2
(d) 2517.43𝑚
2
cm²,respectively,thenfindthevalueofx4 externally10cmlong.8cmbroadand6
+ x²y² + y4. cm high. If thethicknessofthewoodis .33.Threecubeswithsidesintheratio
Q
Graduate Level 20/06/2024 (Shift - 3) 0.5 cm, then the volume of wood of 3 : 4 : 5 are melted to form a single
(a) 6690 (b) 6960 (c) 6609 (d) 6906 required is cube whose diagonal is 18√3 cm. The
SSC MTS 14/09/2023 (3rd Shift) sides of the three cubes are:
.20. The base of a right prism is an
Q (a) 165 cm3 (b) 300 cm3 SSC CGL 20/07/2023 (1st shift)
equilateral triangle with each side 3
(c) 230 cm (d) 150 cm3 (a) 21 cm, 28 cm and 35 cm
measuring 4 cm. If the lateral surface (b) 9 cm, 12 cm and 15 cm
areais120cm2,findthevolume(incm3) .27.Theweightofacubevariesdirectly
Q
(c) 18 cm, 24 cm and 30 cm
of the prism. as the product of its volume and its
(d) 12 cm, 16 cm and 20 cm
SSC CHSL Tier II (10/01/2024) density. The ratio of densities of the
(a) 30 3 (b) 40 3 (c) 10 3 (d) 20 3 materials of the first cube and second Q.34. The perimeter of equilateral
cube is 27:16. If the weight of the first 4 16
.21. Some ice pieces, spherical in
Q cubeis4timestheweightofthesecond triangleis3× ( ) units.Determine
3
shape,ofdiameter6cmaredroppedina cube,thenwhatistheratiooftheedges t he area of the triangle.
cylindrical container containing some of the first cube and second cube? Matriculation Level 30/06/2023 (Shift - 4)
juice and are fully submerged. If the SSC MTS 14/09/2023 (2nd Shift) (a) 4 unit2 (b) 1 unit2 (c) 3 unit2 (d) 2 unit2
diameter of the container is 18 cm and (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 4 : 3
level of juice rises by 40 cm, then how .35. Asphericalballofdiameter8cm
Q
many ice pieces are dropped in the .28.Theweightofacirculardiscvaries
Q is cut into two equal parts. The curved
container ? directly as the product of the square of area of one suchparthastobepainted
SSC CPO 05/10/2023 (3rd Shift) the radius and its thickness. Two with green colour, while the other part
(a) 90 (b) 80 (c) 85 (d) 95 identical/similar discs have their has to be painted with red colour. The
thickness in the ratio of 16 : 9. Whatis basesofboththehemispheresaretobe
.22. Some medicine in liquid form is
Q theratiooftheirradiiiftheweightofthe painted with blue colour. The cost of
preparedinahemisphericalcontainerof first is four times that of the second ? painting with blue is ₹2/cm², while the
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Pinnacle Day:19th - 28th Mensuration
ost of painting the curved area is
c (c) 500π - 350 3 cm² SC CHSL 19/04/2021 (Morning)
S
₹3/cm². What will be the cost (in₹) of (a) 108 (b) 180 (c) 216 (d) 144
(d) 600π - 450 3cm²
painting the hemispheres? Take л = 3.14
Matriculation Level 28/06/2023 (Shift - 4) .51.Abicyclewheelhasaradiusof42
Q
.43. If the sum of the diagonals of a
Q
(a) ₹451.92 (b) ₹492.92 cm. It makes 40 revolutions in 25
rhombusisLandtheperimeteris4P,find
(c) ₹803.84 (d) ₹401.92 seconds. What isitsspeed(inkmph,up
the area of the rhombus?
to one decimal place) ?
SSC CPO 11/11/2022 (Morning)
.36. A cube of side 5 cm, has been
Q SSC CHSL 16/04/2021 (Morning)
1
1
assembled using 125 cubes each of 1 (a) (L² - P²) (b) (L² - 4P²) (a) 3.5 (b) 11.6 (c) 15.2 (d) 9.5
4 4
cmedge.Onecubeisremovedfromthe
1 1
middleofeachofthefacesofthecube. (c) (L² - 4P²) (d) (L² + 3P²) Q.52. A wireisbenttoformasquareof
2 4 2
What is the surfacearea(incm²)ofthe area169 𝑐 𝑚 . Ifthesamewireisbentto
remaining solid? .44. Water is flowing through a
Q 2
f ormacircle,thenwhatisitsareain𝑐 𝑚
SSC CHSL Tier II (26/06/2023) cylindrical canal with an internal
(to the nearest whole number) ?
(a) 155 (b) 144 (c) 150 (d) 174 diameterof7matthespeedof18km/h.
SSC CHSL 13/04/2021 (Afternoon)
Findthevolumeofwaterflowingthrough
.37. A prism and a pyramid have the
Q (a) 215 (b) 227 (c) 532 (d) 531
22
samebaseandthesameheight.Findthe the canal in 30 minutes. (takeπ = )
7 Q.53.Asectorofradius10.5cmwiththe
ratioofthevolumesoftheprismandthe SC CPO 09/11/2022 (Afternoon)
S ◦
pyramid. entral angle 120 is folded to form a
c
(a) 3,76,500 m³ (b) 3,56,500 m³
SSC CGL Tier II (07/03/2023) conebyjoiningthetwoboundingradiiof
(c) 3,66,500 m³ (d) 3,46,500 m³ 3
(a) 2 : 3 (b) 3 : 1 (c) 1 : 3 (d) 3 : 2 t he sector. What is the volume (in𝑐 𝑚 ) of
.45.ABCDEF is a regular hexagon. Side
Q the cone so formed ?
.38. How many metres of 2 m wide
Q
of the hexagon is 36 cm. What is the area SSC CGL Tier II (13/09/2019)
cloth will be required to make aconical
of the triangle ABC ? 343 2 343 3
tentwiththediameterofthebaseas14 (a) π (b) π
SSC CGL Tier II (08/08/2022) 6 6
m and slant height as 9 m to ignore 2 2
(a) 324 3𝑐 𝑚 (b) 360 3𝑐 𝑚 343 3 343 2
wastage ? (c) π (d) π
2 2 12 12
SSC CGL 12/12/2022 (1st Shift) (c) 240 3𝑐 𝑚 (d) 192 3𝑐 𝑚
(a) 66 m (b) 88 m (c) 99 m (d) 77 m .54. The base of a right prism is a
Q
.46.Thefrustumofarightcircularcone
Q
has the radius of the base as 5 cm, triangle withsides20cm,21cmand29
.39. The minute hand of a clock is20
Q
3
cmlong.Findtheareaonthefaceofthe radiusofthetopas3cm,andheightas6 cm. If its volume is 7560𝑐 𝑚 , then its
clocksweptbytheminutehandbetween cm. What is its volume ? 2
lateral surface area (in𝑐 𝑚 ) is :
8 a.m. and 8:45 a.m. SSC CHSL 27/05/2022 (Afternoon)
SSC CGL Tier II (12/09/2019)
3 3
SSC CGL 12/12/2022 (1st Shift) (a) 98 π𝑐 𝑚 (b) 100 π𝑐 𝑚 (a) 2484 (b) 2556 (c) 2520 (d) 2448
6600 6600 3 3
(a) m2
c (b) m2
c (c) 96 π𝑐 𝑚 (d) 90 π𝑐 𝑚
7 9 .55. If the radius of a sphere is
Q
6600 6600 Q.47. Three sides of a triangle are increased by 4 cm, its surface area is
(c) cm2 (d) cm2
18 14 2
2 2 2 2 2 2 increased by 464π𝑐 𝑚 . What is the
+ 𝑏 , (2𝑎) + 𝑏 and 𝑎 + (2𝑏)
𝑎
.40. The external diameter of an iron
Q units. What is the area (inunitsquares)
3
v olume (in𝑐 𝑚 ) of the original sphere ?
pipe is 20cmanditslengthis12cm.If of a triangle? SSC CGL Tier II (11/09/2019)
thethicknessofthepipeis1cm,findthe SSC CGL Tier II (03/02/2022) 15625 35937
22 (a) π (b) π
5
3 6 8
surface area of the pipe (take π =
) (a) 𝑎 𝑏 (b) 3𝑎𝑏 (c) 4𝑎𝑏 (d) 𝑎𝑏
7 2 2 11979 15625
(c) π (d) π
correct to two places of decimal. 2 8
SSC CGL 06/12/2022 (2nd Shift) .48. A square park has been divided
Q
into two rectangles of equal area.Ifthe .56. The base of right prism is a
Q
(a) 1,662.67 cm2 (b) 1,552.57 cm2
perimeter of eachoftheserectanglesis trapezium whose parallel sides are 11
(c) 1,442.48 cm2 (d) 1,772.76 cm2
39 m, thenwhatwillbetheperimeterof cm and15cmandthedistancebetween
.41. Ifthelengthofacertainrectangle
Q the square park ? themis9cm.Ifthevolumeoftheprism
3
is decreased by 4 cm and breadth is SSC CHSL 09/08/2021 (Afternoon) is1731.6 𝑐 𝑚 ,thentheheight(incm)of
increased by 2 cm, it would result in a (a) 104 m (b) 39 m (c) 78 m (d) 52 m the prism will be :
square of the same area. What is the SSC CGL Tier II (11/09/2019)
perimeter of the original rectangle ? .49.Thecircumferenceofacircleis‘aπ’
Q (a) 15.6 (b) 15.2 (c) 14.8 (d) 14.2
SSC CGL 06/12/2022 (1st Shift) units and the area of the circle is '𝑏π'
(a) 15 cm (b) 24 cm (c) 20 cm (d) 10 cm square units. If a:b is equal to 4:5,then .57.Aribbonofequalwidthandlength
Q
the radius of the circle is: 𝑙 is wrapped around the curved surface
.42.Twoidenticalcircleseachofradius
Q SSC CHSL 06/08/2021 (Evening) of a right circular cylinder to cover it
30cmintersecteachothersuchthatthe (a) 3 cm (b) 2.5 cm (c) 5 cm (d) 2 cm completely. Ifthebasecircumferenceof
circumference of each one passes this cylinder is c, then how many times
through the center of the other.Whatis .50.Theareaofatriangularfieldwhose
Q the ribbon was wrapped around the
the area of the intersecting region? sidesare65m,72mand97misequalto cylinder ?
SSC CGL 03/12/2022 (4th Shift) the area of a rectangular park whose SSC MTS 05/08/2019 (Evening)
sidesareintheratioof5:13.Whatisthe
(a) 400π - 250 3cm² 𝑙 𝑙 𝑙 𝑙
2
perimeter (in m) of the rectangular park? (a) (b) (c) (d)
(b) 300π - 150 3 cm² 4𝑐 𝑐 2𝑐 𝑐
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Pinnacle Day:19th - 28th Mensuration
.58.ABCDisarhombuswitheachside
Q .67. A wire is in the shape of a
Q ftheareabetweenthetwoinnercircles
o
beingequalto8cm.IfBD=10cm,AC= rectanglewhosesidesareintheratio7: to that between the two outer circles ?
2 𝑥cm, what is the value of 𝑥 + 10? 4. It was initiallyintheshapeofacircle SSC CGL 06/06/2019 (Evening)
SC CHSL 11/07/2019 (Afternoon)
S of radius , very nearlyequalto31.5cm. (a) 4 : 7 (b) 5 : 9 (c) 4 : 5 (d) 3 : 8
The length of smaller side of the
(a) 2 3 (b) 3 2 (c) 7 (d) 5 .76. The length of the metallic pipe is
Q
22
rectangle is : (Take 𝜋 = ) 7.56m.Itsexternalandinternalradiiare
.59. The two diagonals of a rhombus
Q 7
2.5cmand1.5cmrespectively.If1cubic
are respectively, 14 cm and 48 cm.The SC CHSL 03/07/2019 (Afternoon)
S
cm of the metal weigh 7.5 g, then the
perimeter of the rhombus is equal to : (a) 44 cm (b) 36 cm (c) 40 cm (d) 32cm
weight(kg) of the pipe is
SSC CHSL 11/07/2019 (Morning)
.68. A circle circumscribesarectangle
Q SSC CGL 06/06/2019 (Afternoon)
(a) 120cm (b) 160cm (c) 80cm (d) 100cm
whose sides are in the ratio4:3.Ifthe (a) 72.82 (b) 70.14 (c) 71.28 (d) 69.68
Q.60.Theareaofasectorofacirclewith perimeteroftherectangleis56cm,then
Q.77.The volume of a metallic cylindrical
◦
entralangle60 isA.Thecircumference
c what is the area (In square cm) of the 3
circle ? ipe is 7480 𝑐 𝑚 . If its length is 1.4 m
p
of the circle is C. Then A is equal to :
SSC CHSL 03/07/2019 (Morning) and its external radius is 9 cm, then its
SSC CHSL 10/07/2019 (Evening)
(a) 70𝜋 (b) 96𝜋 (c) 90𝜋 (d) 100𝜋 22
2
𝑐
2
𝑐 𝑐
2 2
𝑐 thickness (given π = ) is:
(a) (b) (c) (d) 7
6π 18π 24π 4π
.69. The curved surface area and
Q SC CGL 06/06/2019 (Morning)
S
.61. Equilateral triangles are drawn on
Q volume of a cylindrical pole are 132 (a) 1 cm(b) 0.8 cm (c) 0.9 cm (d) 1.2cm
the hypotenuse and one of the square metres and 528 cubic metres,
perpendicular sides of a right-angled respectively.Whatistheheight(Inm)of Q.78. The areas of the three adjacent
2 2
isosceles triangle. Their areas are H and 22 faces of a cuboid are 32𝑐 𝑚 , 24𝑐 𝑚
the pole ? (Take 𝜋 = ) 2 3
𝐴 7 nd48𝑐 𝑚 .Whatisthevolume(in𝑐 𝑚 )
a
A respectively. is equal to :
𝐻 SSC CHSL 02/07/2019 (Afternoon) of the cuboid ?
SSC CHSL 10/07/2019 (Afternoon)
1 5 1 5 SSC CGL 04/06/2019 (Evening)
(a) 2 (b) 3 (c) 3 (d) 2
1
1 1 1 2 8 2 8
(a) (b) (c) (d) (a) 192 (b) 256 (c) 288 (d) 128
4 2 2
2
2
.70.The area of a field in the shape of a
Q .79. Theareaofatriangleis15sqcm
Q
.62. Twelve sticks, each of length one
Q hexagonis2400√3squaremeters.What and the radius ofitsincircleis3cm.Its
unit, are used to form an equilateral will be the cost(Rs.) of fencing it atRs. perimeter is equal to :
triangle. The area of the triangle is : 18.50 per meter? SSC CGL 04/06/2019 (Evening)
SSC CHSL 10/07/2019 (Morning) SSC CHSL 01/07/2019 (Evening) (a) 12 cm (b) 20 cm (c) 5 cm (d) 10 cm
(a) 3 3 (b) 2 3 (c) 4 3 (d)8 3 (a) 4440 (b) 5920 (c) 5550 (d) 5180
2
.80. How much iron sheet (in 𝑚 ) will
Q
.63. If the length of a rectangle is
Q .71. Six cubes,eachofedge2cm,are
Q
be needed to construct a rectangular
decreased by 11% and the breadth is joined end to end. What is the total
tankmeasuring 10𝑚 × 8𝑚 × 6𝑚,ifa
increased by 11%, its area will undergo : surface area of the resulting cuboid
circularopeningofradiusonemeteristo
SSC CHSL 09/07/2019 (Afternoon) SSC CGL 13/06/2019 (Morning)
beleftatthetopofthetank?(correctto
(a) 13.13% increase (b) 1.21% increase (a) 96𝑐 𝑚
2
(b) 144𝑐 𝑚
2
one decimal place)
(c) 1.21%decrease (d) 13.13% decrease 2 2
(c) 104𝑐 𝑚 (d) 128𝑐 𝑚 SSC CGL 04/06/2019 (Afternoon)
.64.In triangle ABC, the length of BC is
Q (a) 371.6 (b) 370.4 (c) 372.9 (d) 370.8
lessthantwicethelengthofABby2cm. .72. The radius of asphereisreduced
Q 3
by 40%. Bywhatpercent,willitsvolume .81.Asolidcubeofvolume13824𝑐 𝑚
Q
The length of AC exceeds the length of
decrease? iscutinto8cubesofequalvolumes.The
ABby10cm.Theperimeteris32cm.The
SSC CGL 10/06/2019 (Afternoon) ratio of the surface area of the original
length(incm)ofthesmallestsideofthe
(a) 60% (b) 64% (c) 72.5% (d) 78.4% cube to thesumofthesurfaceareasof
triangle is :
three of the smaller cubes is :
SSC CHSL 05/07/2019 (Afternoon) .73.Theareaofafieldintheshapeofa
Q SSC CGL 04/06/2019 (Morning)
(a) 4 (b) 10 (c) 8 (d) 6 triangle with each side x meter isequal (a) 2 : 3 (b) 4 : 3 (c) 8 : 3 (d) 2 : 1
.65. The parallel sides of a trapezium
Q to the area of another triangular field
having sides 50m, 70m and 80m. The .82. The unequal side of an isosceles
Q
are20cmand10cmanditsnon-parallel triangle is 2cm. The medians drawn to
sidesareequaltoeachother.Ifitsareais value of x is closest to :
SSC CGL 07/06/2019 (Afternoon) the equal sides are perpendicular. The
2
80 𝑐 𝑚 , then what is thelength(incm)
1 area of the triangle is :
(a) 65.5 (b) 63.2 (c) 62.4 (d) 61.8
of each non parallel side? SSC CPO 16/03/2019 (Evening)
SSC CHSL 04/07/2019 (Morning) .74.Asectoriscutoutfromacircleof
Q 2
(a) 2𝑐 𝑚
2 2
(b) 3𝑐 𝑚 (c) 5𝑐 𝑚 (d)1𝑐 𝑚
2
(a) 11 (b) 13 (c) 12 (d) 15 diameter42cm.Iftheangleofthesector
is150°,thenitsarea(insquarecm)is: .83.Asteelvesselhasabaseoflength
Q
.66.Thelengthofarectangularparkis
Q 60 cm and breadth 30 cm. Water is
22
20mmorethanitsbreadth.Ifthecostof (Take 𝜋 = ) pouredinthevessel.Acubicalsteelbox
7
fencing the park at Rs. 53 per metre is having an edge of 30 cm is immersed
SC CGL 07/06/2019 (Morning)
S
Rs. 21,200, then what is the area (In completely in the vessel. By how much
(a) 564 (b) 574 (c) 580.6 (d) 577.5
square metres) of the park ? will the water rise?
SSC CHSL 03/07/2019 (Evening) .75.Theradiiofthreeconcentriccircles
Q SSC CPO 16/03/2019 (Evening)
(a) 9504 (b) 8925 (c) 9240 (d) 9900 areintheratioof4:5:7.Whatistheratio (a) 12 cm (b) 15 cm (c) 10 cm (d) 9 cm
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Pinnacle Day:19th - 28th Mensuration
.84. Original breadth of a rectangular
Q ide and 11 m high is:
w (c) 3456 2cm³ (d) 4356 2cm³
boxis20cm.Theboxwasthenremadein SSC CPO 15/03/2019 (Evening)
such a way that its length increased by (a) 21 m (b) 20 m (c) 18 m (d) 19 m 8
Q.101.Acylinderhasaradius cmand
30% but the breadth decreased by 20% π
2 Q.93. If the height of an equilateral itsvolumeis448cm³.Whatistheheight
andtheareaincreasedby100𝑐 𝑚 .What 2
t riangle is10 3cm, the area (in𝑐 𝑚 ) is: 22
2
is the new area(in 𝑐 𝑚 ) of the box ? of the cylinder (takenπ = ) ?
SSC CPO 15/03/2019 (Morning) 7
SSC CPO 16/03/2019 (Evening) SC CHSL Tier II (18/11/2024)
S
(a) 2500 (b) 2200 (c) 2600 (d) 2400 (a) 124 3 (b) 75 3(c)80 3 (d)100 3 (a) 24 cm (b) 21 cm (c) 23 cm (d) 22 cm
.85. Find the cost ofcarpetingaroom
Q .94. The dimensions of a swimming
Q .102.Theradiiofthetwospheresarein
Q
which is 11m long and 6m broad by a pool are 66m× 35𝑚 × 3𝑚 . How many theratio4:5.Theirvolumewillbeinthe
carpetwhichis60cmbroadattherateof hourswillittaketofillthepoolbyapipe ratio:
rs 112.50 per meter. of diameter35cmwithwaterflowingat SSC CHSL Tier II (18/11/2024)
SSC CPO 16/03/2019 (Afternoon) speed 8 m/s ? (a) 64 : 125 (b) 125 : 64
(a) 12,375 (b) 13,280 SSC CPO 15/03/2019 (Morning) (c) 16 : 25 (d) 4 : 5
(c) 11,695 (d) 12,040 (a) 2.75 h (b) 3.5 h (c) 2.5 h (d) 3.2 h
.103.Formakingatoy,ahemisphereis
Q
.86. A field is 119m × 18m in
Q .95. Which of the following has the
Q attached at one end of acylinderanda
dimension. A tank 17m × 6m × 3m is maximum number of vertices ? cone is attached attheotherendofthe
dug out in the middle and the soil SSC CPO 14/03/2019 (Evening) cylinder. The cylinder, the cone and the
removed is evenly spread over the (a) Cuboid hemisphere have a common radius of
remaining part ofthefield.Theincrease (b) Triangular Prism 4.2 cm. The height of the cylinder and
in the level on theremainingpartofthe (c) Hexagonal pyramid thatoftheconeis7cm.Findthevolume
field is: (in cm) (d) Tetrahedron 1
SSC CPO 16/03/2019 (Afternoon) (in cm³) of the toy. (Use π = )
22
(a) 14 cm (b) 13 cm (c) 15 cm (d) 12 cm .96. A diagonalofaquadrilateralis40
Q
SC CHSL Tier II (18/11/2024)
S
cm. The length of the perpendicular to
(a) 358.8 (b) 762.255
.87.Aswimmingpoolis40minlength,
Q theoppositeendsis7.5cmand8.6cm.
(c) 672.672 (d) 863.25
30minbreadthand2.2mindepth.The What is the area (in cm2) of quadrilateral?
cost of cementing its floor and the four SSC CPO 14/03/2019 (Evening)
2 (a) 434 (b) 322 (c) 368 (d) 28 SSC MTS 2024 Tier - 1
ides at Rs. 25/𝑚 is:
s
SSC CPO 16/03/2019 (Afternoon)
Q.97. The area of each square of a Q.104. The area ofaregularhexagonis
(a) Rs.43,980 (b) Rs.37540 2
(c) Rs.34260 (d) Rs.37700 hessboard having 64squaresis4 𝑐 𝑚 .
c 048 3 cm². What is the length(incm)
2
Ifthereisaborderonallthesidesofthe of each side of the hexagon ?
.88. A squarecardboardwithside3m
Q chessboard of 2 cm, then theperimeter SSC MTS 30/09/2024 (Morning)
is folded through one of its diagonal to of the chessboard is: 64 3 2 3
3
make a triangle, the height(m) of the SSC CPO 14/03/2019 (Morning) (a) 32 3 (b) (c) (d)64 3
3
3
triangle is : (a)128cm (b) 80cm (c)70cm (d)256cm
SSC CPO 16/03/2019 (Morning) .105. A right circular cone of height h
Q
3 2 .98. The sides of a triangle are 24cm,
Q andradiusRiscutbyaplaneparallelto
(a) (b) 2 3 (c) 3 2 (d) 45cm and 51cm. At each ofitsvertices,
ℎ
2 3 thebaseatadistance fromthebase.
circlesofradius10.5cmaredrawn.What 4
Q.89. If theareaofaregularhexagonis is the area of the triangle, excluding the he ratio of thecurvedsurfaceareasof
T
2
08 3𝑐 𝑚 , its perimeter (in cm) is:
1 portion covered by sectors of the circles? the resulting cone to the frustum is:
SSC CPO 15/03/2019 (Evening) SSC CPO 13/03/2019 (Evening) SSC MTS 30/09/2024 (Afternoon)
2 2 (a) 7 : 16 (b) 16 : 9 (c) 16 : 7 (d) 9 : 7
(a) 36 2 (b) 42 3 (c) 28 3 (d) 24 (a) 244.75𝑐 𝑚 (b) 366.75𝑐 𝑚
2 2
(c) 464.75𝑐 𝑚 (d) 327.75𝑐 𝑚 .106.Whatisthenumberofgoldcoins,
Q
.90. A square piece of cardboard with
Q
each having a radiusof0.875cmanda
side 12 cm has a small square of 2 cm .99. The radius of a cylinder is
Q thickness of 2 mm, that need to be
cut out from each of the corners. The increased by 150 % and its height is melted to create a cuboid with
resulting flaps are turned up to make a decreased by 20 %. What is the
3 dimensions 5.5 cm× 5 cm× 3.5 cm ?
ox 2 cm deep. The volume (in 𝑐 𝑚 ) of
b percentage increase in its volume? 2
2
the box is: SSC CPO 12/03/2019 (Morning) (Use π = )
7
SSC CPO 15/03/2019 (Evening) (a) 400% (b) 600% (c) 500% (d) 80% SC MTS 30/09/2024 (Evening)
S
(a) 128 (b) 94 (c) 102 (d) 11 (a) 250 (b) 175 (c) 200 (d) 225
2 Practice Questions .107. A cylindrical tankofheight10m
Q
.91. The area (in 𝑐 𝑚 )ofarightangled
Q
triangle having base 24 cm and andradius5mhasasmallcircularcutof
hypotenuse 25 cm is :
SSC CHSL 2024 Tier - 2 0.5 m radius on its top surface. What
SSC CPO 15/03/2019 (Evening) would be the total surface area of the
.100. The surface area of a cube is
Q
(a) 72 (b) 108 (c) 92 (d) 84 tank ?
1728 cm². Find its volume.
SSC MTS 01/10/2024 (Morning)
.92.Thelengthofthelongestpolethat
Q SSC CHSL Tier II (18/11/2024)
599π 2
can be placed in a room 16 m long, 8 m (a) 6453 2cm³ (b) 5436 2cm³ (a) m (b) 156 π m2
4
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Pinnacle Day:19th - 28th Mensuration
299π 2 SC MTS 08/10/2024 (Evening)
S SC MTS 14/10/2024 (Evening)
S
(c) m (d) 150 π m²
2 (a) 21 (b) 10.5 (c) 14 (d) 7 (a) 351 (b) 66 (c) 75 (d)156
.108.Asolidcylinderwithaheightof8
Q Q.115.ABCDEFisaregularhexagon,and .122. A cone of radius 16 cm and
Q
units and a radius of 3.5 units is to be (𝐴 𝐷) = 12 cm. What is the area (in
m height 12 cmiscut,paralleltothebase,
coveredwithapapersheet.Ifthecostof cm2) of the given hexagon ? at some height closer to the top. If the
thepapersheetis₹40per5squareunits, SSC MTS 09/10/2024 (Morning) ratio oftheheightsofthesolidsis1:3,
thecost(in₹)ofcoveringthecylinderis (a) 216 3(b) 54 3(c) 108 3(d) 162 3 then the ratio of the total surfaceareas
22 of the two solids formed is
_________ (Take π = ) .116. A right circular cone of height h
Q
7 approximately given by:
SC MTS 01/10/2024 (Afternoon)
S and radius R is cut by a parallel to the SSC MTS 17/10/2024 (Morning)
(a) 2268 (b) 1664 (c) 2024 (d) 1012
ℎ (a) 9 : 143 (b) 1 : 8 (c) 2 : 15 (d) 7 : 180
baseatadistance fromthebase.The
5
.109. A hemispherical bowl is 264cm
Q r atio of the curved surface area of the .123. A conical cavity is drilled in a
Q
roundatthebrim.Supposethatthebowl frustum and total surface area of the solidcircularcylinderof7cmheightand
ishalf-fullofbeverage.Ifthebeverageis resulting cone is: 48 cm base diameter. The height and
served inhemisphericalglasses6cmin SSC MTS 09/10/2024 (Afternoon) base diameteroftheconearethesame
thediameteratthetop,howmanypeople (a) 16 (R + L) : 9L (b) 9 (R + L) : 16L asthoseofthecylinder.Whatisthetotal
would be served ? (c) 16L : 9 (R + L) (d) 9L : 16 (R + L) surface area of the remaining solid ?
SSC MTS 07/10/2024 (Morning) SSC MTS 17/10/2024 (Afternoon)
.117.Theradiusofthebaseandheight
Q
(a) 1170 (b) 1372 (c) 1270 (d) 1470 (a) 1512π cm2 (b) 1076π cm2
ofarightcircularconeareintheratio8: 2
(c) 1420π cm (d) 1654π cm2
.110.Whatistheareaoftheremaining
Q 15.Findtheslantheightoftheconeifits
portion ofacircleofradius14cmwhen
5 .124.Thesideofasquareexceedsthe
Q
volume is 1005 cm3
7
a square with maximum possible area side of another square by3cmandthe
inscribedinitisremovedfromit?(Useπ SC MTS 09/10/2024 (Afternoon)
S
sum of the areas of the two squares is
(a) 12 cm (b) 17 cm (c) 21 cm (d) 15 cm
22 225 cm2. Findthesumoftheperimeter
= )
7 .118. A rectangular sheet oflength28
Q (in cm) of both squares.
SC MTS 07/10/2024 (Morning)
S cmandbreadth16cmisfoldedtomeet SSC MTS 17/10/2024 (Evening)
(a) 518 cm2 (b) 520 cm2 the edges so that it is made into a (a) 84 (b) 74 (c) 64 (d) 94
2
(c) 224 cm (d) 616 cm2 cylindrical pipe in two possible ways –
.125. Theexternalcurvedsurfacearea
Q
onealongthelengthandtheotheralong
.111. Thevolumeofthehemisphereis
Q of a metallic hemispherical bowl is 308
the breadth. The larger volume is how
486π cm³. If the radius is tripled, then cm2 .Ifthedensityofmetalis8.7gmper
much percentage of smaller volume ?
what will be its curved surface area (in cm3 ,thenthemassofthebowlisequal
SSC MTS 09/10/2024 (Evening)
cm²) ? 22
(a) 165% (b) 180% (c) 185% (d) 175% to: (Takeπ= )
SSC MTS 07/10/2024 (Afternoon) 7
(a) 1458 (b) 1025π (c) 1458π (d) 1546 .119.Aconicaltentistoaccommodate
Q SC MTS 18/10/2024 (Morning)
S
12persons.Eachpersonmusthave5m2 (a) 6254.2 gm (b) 6252.4 gm
.112. A hemispherical bowl ofinternal
Q ofthespaceonthegroundand20m3 of (c) 5262.4 gm (d) 5264.2 gm
radius15cmcontainsaliquid.Theliquid air to breathe. The height of the tent
is to be filled into cylindrical shaped should be: .126. From a square with area a2
Q
bottles of diameter 5 cm and height 6 SSC MTS 09/10/2024 (Evening) another square made on mid points of
cm. The number of bottles required to (a) 12 m (b) 13 m (c) 12.5 m (d) 22 m thesidesofthesquareisremoved.What
empty the bowl is: is the area left in the square ?
SSC MTS 08/10/2024 (Morning) .120.Amedicinecapsuleisshapedlike
Q SSC MTS 18/10/2024 (Morning)
(a) 40 (b) 30 (c) 60 (d) 50 a cylinder with two hemispheres 2
𝑎
2
2𝑎
2
𝑎
2
3𝑎
attached to eachofitsends.Thelength (a) (b) (c) (d)
2 3 4 4
.113.Asolidconeofbaseradius7cm
Q of the entire capsule is 15 mm, and its
and height 18 cm is melted and recast .127. In a lead pipe 4.2 m long, the
Q
diameter is6mm.Calculatethesurface
into a hollow metal hemisphere of external diameter is 5.4 cm and the
area (in mm², rounded to the nearest thickness of the pipe is 3 mm.Findthe
internal and external radii 20 cm and R 22
integer) of the capsule. (Use π = ) weightofthepipe,if1cm³ofleadmass
cm, respectively. What is the value ofR 7 22
(in cm)? SC MTS 14/10/2024 (Afternoon)
S is 25 grams. (Use π = )
7
SSC MTS 08/10/2024 (Afternoon) (a) 286 (b) 283 (c) 289 (d) 280 SC MTS 18/10/2024 (Afternoon)
S
(a) 54.90 kg (b) 45.09 kg
3 3
(a) 8144 (b) 8441
3 3 .121.A hemispherical container of total
Q (c) 59.40 kg (d) 50.49 kg
(c) 8448 (d) 8568
surface area 7392 cm² is filled with oil.
1 .128. A solid sphere of iron having
Q
.114. A solid spherical item is melted
Q However, of the container is empty.
4 radius 15 cmistobemeltedandrecast
intotheshapeofacylindermountedbya
his oil is to be transferred in small
T in the shape of acylindricalpipehaving
conehavingsameradius.Thediameters
hemispherical bottles having radius of internalandexternalradii4cmand6cm,
of the cylinder and sphere are 21 cm
6.3 cm. How many bottles will be respectively.Findthelength(inm)ofthe
each. What is the height (in cm) of the
required (rounded off to the nearest pipe thus formed.
cone if the height of the cylinder is 7 cm?
22 22 SSC MTS 18/10/2024 (Evening)
(Take π = ) whole number)? (Take π = .)
7 7 (a) 2.15 (b) 2.25 (c) 2.45 (d) 2.35
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Pinnacle Day:19th - 28th Mensuration
.129. The sum of the radius andslant
Q t heir areas ? SC MTS 13/11/2024 (Afternoon)
S
height of a cone issquareoftheheight SSC MTS 22/10/2024 (Afternoon) (a) 9,380 (b) 9,015 (c) 8,950 (d) 9,000
ofthecone,whilethedifferencebetween (a) 18 : 20 (b) 25 : 36 (c) 23 : 18 (d) 2 : 3
.143. If the radii of two right circular
Q
the radius andslantheightis1cmonly.
.136. An ice-creamconewithalidhas
Q cylindersareintheratioof2:3andtheir
Whatisthetotalsurfacearea(incm²)of
a total surfaceareaequaltotheareaof heightsareintheratioof5:4,thenfind
theconehavingheightof9cm?(Takeπ
another circle of certain radius. If the the ratio of their curved surface areas ?
22
= ) (Rounded off to 2 decimal places) radiusofthecircleisequaltoaverageof SSC MTS 14/11/2024 (Morning)
7
the slant height and the radius of the (a) 6 : 5 (b) 5 : 6 (c) 6 : 10 (d) 10 : 6
SC MTS 21/10/2024 (Morning)
S
(a) 10,437.43 (b) 11,282.85 cone,thentheratiooftheslantheightof
Q.144.Ahollowhemisphericalsteelbowl
(c) 10,182.86 (d) 10,128.85 the cone to the radius of the circle is:
686
SSC MTS 23/10/2024 (Morning) can contain π cubic unit of liquid.
3
.130. A cylinder of radius 10 cm and
Q (a) 3 : 1 (b) 2 : 3 (c) 3 : 2 (d) 1 : 3
height 30 cmiscut,paralleltothebase, he outer radius is 9 units. How much
T
into two pieces of different sizes. The .137. The diameter of a hollow
Q steel is used in making the bowl ?
total surface area of the larger piece hemisphereis30cm.Waterisfilledinit SSC MTS 14/11/2024 (Afternoon)
uptoitsbrim.Whensphericalleadshots 772
formed is 70% of that of the given (a) π cubic units
each ofradius0.75cmaredroppedinto 3
cylinder.Thesmallerpieceismeltedand
433
madeintoasphere.Theradius(incm)of the hemisphere, two-fifth of the water (b) π cubic units
3
the sphere is: flows out. How many lead shots were
727
SSC MTS 21/10/2024 (Morning) dropped into the hemisphere ? ( c) π cubic units
3
3 3 3 3
(a) 821 (b) 900 (c) 986 (d) 844 SSC MTS 29/10/2024 (Evening) 343
(a) 1575 (b) 2250 (c) 1600 (d) 1380 (d) π cubic units
3
.131. Find the volume of the largest
Q
rightcircularconewhichisinscribedina .138.Inaconicaltentofdiameter13.2
Q .145. Air is leaking from a
Q
hollow cube of length 6 units and is m and vertical height 14 m, how many spherical-shaped advertising balloon at
standing on its base. fullbagsofwheatcanbeemptied,ifthe therateof24cubicfeetperminute.Ifthe
SSC MTS 21/10/2024 (Afternoon) spacerequiredforthewheatineachbag radius of the balloonis8feet,howlong
(a) 18π units3 (b) 9π units3 22 would it take for the balloon to empty?
is 29.04 m3 ? [Useπ = ]
3
(c) 21π units (d) 10π units3 7 Round your answer to the nearest
SC MTS 30/10/2024 (Afternoon)
S minute. Usetheapproximateofvalueof
.132. A cylindrical vessel of height 14
Q (a) 25 (b) 28 (c) 22 (d) 21 π, that is 3.14.
cm has outer and innerradii14cmand SSC MTS 14/11/2024 (Afternoon)
10 cm, respectively. It is to be filled by .139. What is the radius ofthelargest
Q (a) 89 minutes (b) 80 minutes
transferring water in it by using a small right circular cone that can be cut out (c) 65 minutes (d) 94 minutes
cylinder of height 7 cm and outer and from a cube of edge 8.4 cm ?
inner radii 7 cm and 5 cm, respectively. SSC MTS 12/11/2024 (Morning) .146. A solid hemisphere of radius 12
Q
Whatwillbetheunfilledheightofthebig (a) 4.1 cm (b) 4.2 cm cmismeltedintoNidenticalcones,each
vesselaftertransferringwater6timesby (c) 2.2 cm (d) 2.1 cm ofradius6cmandheight8cm.Whatis
22 the value of N ?
using the smaller cylinder? (Use π = ) .140.Arightcircularsolidmetalliccone
Q
7 SSC MTS 14/11/2024 (Evening)
SC MTS 21/10/2024 (Evening)
S is7.2cmhighandradiusofitsbase3.5 (a) 12 (b) 8 (c) 10 (d) 15
(a) 2.2 cm (b) 3.5 cm cm.Itismeltedandrecastintotworight
circular solid metallic cones equal inall
(c) 2.9 cm (d) 3.8 cm SSC CGL 2024 Tier - 1
respects, each with base radius 2.1 cm
.133. A cylindrical tube, which isopen
Q andheight‘h’.Whatisthevalueof‘h’(in .147. The radiiofthetwoconesarein
Q
atbothends,iscraftedfromametal.The cm) ? theratioof2:5andtheirvolumesarein
internal diameter of the tube is 12 cm, SSC MTS 13/11/2024 (Morning) theratioof3:5.Whatistheratiooftheir
and its length is 35 cm. The metal (a) 14 (b) 10 (c) 21 (d) 12 heights?
throughout has a thickness of 2 cm.
SSC CGL 09/09/2024 (1st Shift)
Determinethetotalsurfacearea(incm2) .141. The radius of acircleisequalto
Q
(a) 15 : 4 (b) 11 : 15 (c) 13 : 11 (d) 4 : 11
22 the side of a square. The perimeters of
f the metal tube. (Take 𝜋 =
o )
7 the square and circle are intheratio7: .148. What is thevolume(incm³)ofa
Q
SC MTS 22/10/2024 (Morning)
S 11, then the ratio of the areas will be : cylinder if the radius ofthecylinderis8
(a) 3696 (b) 3256 (c) 3854 (d) 3145 22 cm and the height is 14 cm?
(Use π = )
7 22
.134. The perimeter of a rhombus is
Q SC MTS 13/11/2024 (Afternoon)
S (Take π = )
7
160 cm and one of its diagonals has a (a) 14 : 22 (b) 22 : 14 (c) 22 : 7 (d) 7 : 22
SC CGL 09/09/2024 (2nd Shift)
S
length 50 cm. Find the area (in cm2) of
.142. The internal and external
Q (a) 2686 (b) 2816 (c) 2784 (d) 2456
the rhombus.
SSC MTS 22/10/2024 (Morning) diameters of a bowl in the shape of a .149. From a circle with the radius of
Q
hemisphere are 26.6 cm and 28 cm, 15.75cm,asectorwiththearclengthof
(a) 280 39 (b) 300 39
respectively.Whatisthecost(in₹,tothe 11cmiscutoff.Findthearea(incm2) of
(c) 250 39 (d) 175 39 nearest rupee) of painting it, all over, at this sector.
.135.Thediagonalsoftwosquaresare
Q 22 SSC CGL 09/09/2024 (2nd Shift)
the rate of ₹3.75/cm² ? (Take π = ).
7
in the ratio of 5 : 6. What is the ratio of (a) 86.525 (b) 86.625
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Pinnacle Day:19th - 28th Mensuration
(c) 86.875 (d) 86.125 (a) 75 (b) 84 (c) 85 (d) 90 etween the two circles ?
b
SSC CGL 13/09/2024 (2nd Shift)
.150. A right-angled isosceles triangle
Q .159.Theheightofacylinderis20cm.
Q (a) 100π (b) 164π (c) 122π (d) 175π
has an area of 50 square units. Its Thelateralsurfaceareais1760cm2 .Its
hypotenuse is (in units): volume is: .168.Whatisthevolumeincubicunits
Q
SSC CGL 09/09/2024 (2nd Shift) SSC CGL 12/09/2024 (1st Shift) of a cylinder with a height equal to the
(a)10 3 (b) 5 5 (c) 10 2 (d) 5 2 (a) 12032 cm3 (b) 12302 cm3 diameter and a radius is 4 units ?
3
(c) 12203 cm (d) 12320 cm3 SSC CGL 13/09/2024 (2nd Shift)
.151. What is the perimeter (in cm,
Q 64π 32π
roundedofftoonedecimalplace)ofthe .160. Two cylinders have the radii of
Q (a) 128π (b) (c) 32π (d)
3 3
sector ofacirclewitharadiusof10cm their bases in the ratio 4 : 5 and their
and of angle 30°? (Use π = 3.14) heightsareintheratio5:7.Findtheratio .169.Theangleturnedbyminuteshand
Q
SSC CGL 09/09/2024 (3rd Shift) of their curved surface areas. in 25 minutes in a clock is:
(a) 20.4 (b) 35.7 (c) 82.8 (d) 25.2 SSC CGL 12/09/2024 (2nd Shift) SSC CGL 13/09/2024 (3rd Shift)
(a) 5 : 4 (b) 4 : 7 (c) 1 : 2 (d) 4 : 5 π 5π 5π
.152. If a right circular cone of height
Q (a)π (b) (c) (d)
2 3 6
24 cm has a volumeof1232cm3 ,then .161.Thecircumferenceofthebaseof
Q
the total surface area of the cone is a conical tent of height 8 m is 32 πm. .170. Find the measure of the central
Q
22 Find its curved surface area. angleofasectorifitsareais16πandthe
(useπ = ) : radius is 8.
7 SSC CGL 12/09/2024 (3rd Shift)
SC CGL 10/09/2024 (1st Shift)
S SSC CGL 17/09/2024 (1st Shift)
(a) 164 5πm² (b) 162 3πm²
(a) 806 cm2 (b) 704 cm2 (a) 75° (b) 60° (c) 108° (d) 90°
(c) 132 3πm² (d) 128 5πm²
(c) 904 cm2 (d) 608 cm2
.171.Thecircumferenceofthebaseof
Q
.162. Acirculararcwhoseradiusis12
Q
.153.Arectangularpieceofpaperis50
Q a cylindrical vessel is 44 cm and its
cmmakesanangleof30°atthecentre.
cm longand22cmwide.Ifacylinderis height is 25 cm. How many liters of
Find the perimeter (in cm) ofthesector
formed by rolling the paper along its 22
formed. (Use π = 3.14) water can it hold? (Take π = )
breadth, then the volume ofthecylinder 7
SSC CGL 12/09/2024 (3rd Shift) SC CGL 17/09/2024 (1st Shift)
S
is:
(a) 32.38 (b) 30.28 (c) 28.64 (d) 26.24 (a) 38.5 (b) 3.58 (c) 3.85 (d) 83.5
SSC CGL 10/09/2024 (3rd Shift)
(a) 2,125 cm³ (b) 1,925 cm³ .163. One-quarter of a circular pizzaof
Q .172. M and N are, respectively, the
Q
(c) 2,025 cm³ (d) 1,825 cm³ radius 21 cm was removed from the centresoftwocirclesofradii12cmand
wholepizza.Whatistheperimeter(incm) 8 cm. QR is thecommontangenttothe
.154. A rectangular courtyard is 4m
Q
22
95cmlongand16m65cmbroad.Itisto of the remaining pizza? (Use 𝜋= ) circles.IfMN=16cm,thenwhatwillbe
7
be paved with the square tiles of the the length of QR ?
SC CGL 13/09/2024 (1st Shift)
S
samesize.Findtheleastnumberofsuch SSC CGL 17/09/2024 (2nd Shift)
(a) 99 (b) 141 (c) 128 (d) 131
square tiles required to pave the (a) 5 17cm (b) 4 15cm
rectangular courtyard. .164. What is the height (in m) of a
Q (c) 3 19cm (d) 6 8cm
SSC CGL 11/09/2024 (1st Shift) conicalwatertankhavingradiusof70m
(a) 877 (b) 944 (c) 388 (d) 407 22 .173.ABandCDaretwoparallelchords
Q
and volume of 46,200 m³? (Take π = ) drawn in a circle with centre O. The
7
.155. The inner and outer radii of a
Q SC CGL 13/09/2024 (1st Shift)
S distance between the two chords is 21
circular track are 28 m and 25 m, (a) 27 (b) 9 (c)18 (d) 54 cm. If the lengths of AB and CD are24
respectively. The cost (in ₹) of levelling cm and 18 cm, respectively, then the
22 .165.AandBarecentresoftwocircles
Q radius of the circle is equal to:
the track at ₹28 per m² is: (Use 𝜋 = )
7 with radii 2 cm and 1 cm respectively, SSC CGL 17/09/2024 (2nd Shift)
SC CGL 11/09/2024 (1st Shift)
S where AB = 5 cm. C is the centre of (a) 15 cm (b) 20 cm (c) 18 cm (d) 24 cm
(a) 15,421 (b) 13,992 another circle of radius r cm, which
(c) 11,229 (d) 17,355 touches each of the above two circles .174. Find the length of the longest
Q
externally.If∠ACB=90°,thenthevalue stickthatcanbefittedinacubicalvessel
.156. Iftheperimeterofanequilateral
Q
of r is: of edge 70 cm.
triangle is 36 units, then its area is (in
SSC CGL 13/09/2024 (1st Shift) SSC CGL 17/09/2024 (2nd Shift)
square units):
(a) 5 cm (b) 2 cm (c) 3 cm (d) 4 cm (a) 35 3cm (b) 70 3cm
SSC CGL 11/09/2024 (1st Shift)
(a) 144 2 (b) 36 2 (c) 144 3 (d) 36 3 .166.From a circle of radius 7 units, an
Q (c) 10 3cm (d) 70 2cm
arc length is cut by a chord of length7 .175. In a rhombus PQRS, O is any
Q
.157. If the ratio of the areas of two
Q
units. What is the arc length of the interiorpointsuchthatOP=OR.Whatis
similar triangles is 25 : 144,theratioof
smaller portion (in units)? the degree measure of ∠SOQ?
their corresponding sides is:
SSC CGL 13/09/2024 (1st Shift) SSC CGL 17/09/2024 (2nd Shift)
SSC CGL 11/09/2024 (2nd Shift)
8
7
7
7 (a) 120° (b) 180° (c) 240° (d) 200°
(a) 5 : 12 (b) 5 : 144 (c) 25 : 12 (d) 12 : 5 (a) π (b) π (c) π (d) π
3 6 3 4
.158. A cuboid of dimensions 50 cm,
Q .167. A chordofthelargeramongtwo
Q .176. If the height and diameter of a
Q
150 cm, 175 cm can be divided into how concentriccirclesisoflength20cmand cylinder are 12 cm and 28 cm,
many identical largest cubes ? itistangenttothesmallercircle.Whatis respectively, then find the ratio of the
SSC CGL 11/09/2024 (3rd Shift) the area (in cm2) of the annular portion total surface area to the curved surface
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Pinnacle Day:19th - 28th Mensuration
rea.
a SSC CGL 19/09/2024 (3rd Shift) 22
(Take 𝜋 = )
SSC CGL 17/09/2024 (2nd Shift) (a) 9 2 (b) 4 13 (c) 8 3 (d) 8 2 7
(a) 13 : 5 (b) 10 : 3 (c) 13 : 6 (d) 11 : 6 SC CGL 26/09/2024 (1st Shift)
S
.186.Thelength,breadthandheightof
Q (a) 764.71 cm² (b) 704.00 cm²
.177. A circular arcmakesanangleof
Q a room is 15 m, 9 m, and 5 m, (c) 682.60 cm² (d) 714.05 cm²
15° at the centre. If the radius of the respectively. From each can of paint 40
circular arc is 14 cm, what is the square metre of area is painted. How .195. From a point A, which is at a
Q
perimeter (correct up to two decimal many cans of paint will be needed to distanceof17cmfromthecentreCofa
places) of the sector so formed? (π = paint only the walls of the room? circle with radius 8 cm, the pair of
3.14)? SSC CGL 23/09/2024 (2nd Shift) tangents AB and AD to the circle are
SSC CGL 17/09/2024 (3rd Shift) (a) 12 (b) 6 (c) 4 (d) 8 drawn. The area of the quadrilateral
(a) 17.66 cm (b) 21.32 cm ABCD is _______ cm2.
(c) 35.32 cm (d) 31.66 cm .187. The volume of a right circular
Q SSC CGL 26/09/2024 (1st Shift)
cylindricalboxofradius30cmis600cm3. (a) 192 (b) 120 (c) 60 (d) 360
.178. The perimeter of a rectangular
Q Find the height of the box.
gardenis48m.Ifthelengthis6mmore SSC CGL 24/09/2024 (1st Shift) .196. The central angle of a sector is
Q
than the breadth, thearea(inm2) ofthe (a) 0.61cm (b) 0.31cm 80°andwhoselengthis96π.Whatisthe
garden is: (c) 0.51cm (d) 0.21cm radius of the circle ?
SSC CGL 18/09/2024 (1st Shift) SSC CGL 26/09/2024 (2nd Shift)
(a) 135 (b) 96 (c) 84 (d) 112 .188. The radii oftwocirclesare8cm
Q (a) 196 units (b) 204 units
and 15 cm.The perimeter of the circle (c) 116 units (d) 216 units
.179.Ifthreecubesofvolume512cm3
Q havingareaequaltothesumoftheareas
each are joined end to end, find the of the two circles (in cm) is: SSC CHSL 2024 Tier - 1
surface area of the resulting cuboid. SSC CGL 24/09/2024 (2nd Shift)
SSC CGL 18/09/2024 (1st Shift) (a) 32π (b) 30π (c) 28π (d) 34π .197. A largest possible sphere is
Q
(a) 896 cm2 (b) 986 cm2 carvedfromacubeofside14cm.What
(c) 895 cm2 (d) 869 cm2 .189. The ratio of the length, the
Q is its volume in cm3?
breadth,andtheheightofasolidcuboid SSC CHSL 01/07/2024 (1st Shift)
.180. The radius ofthebaseofaright
Q is given as 3 : 2 : 1, and thebreadthof
1
1
circularconeis9cmanditsslantheight this cuboid is given as 12 cm. Find the (a) 205 (b) 1707
3 3
is49cm.Findthecurvedsurfaceareaof volume (in cm3) of the cuboid. 1 1
the cone. (c) 1437 (d) 1600
SSC CGL 24/09/2024 (3rd Shift) 3 3
SSC CGL 18/09/2024 (2nd Shift) (a) 1250 (b) 1296 (c) 1200 (d) 1500 .198. The respective ratio between
Q
(a) 1386 cm2 (b) 1265 cm2
.190.Thecircumferenceofthebaseof
Q numerical values of the curved surface
(c) 1262 cm2 (d) 1490 cm2
the cylindrical vessel is 154 cm and its area and the volume of a right circular
.181. The area ofaparallelogramwith
Q height is 49 mm. How many litres of cylinder is 2 : 3. If the respective ratio
base 26 cm and height 18 cm is: water can it hold? (correct to three betweentheradiusandtheheightofthe
SSC CGL 19/09/2024 (1st Shift) 22 cylinderis3:7,whatisthetotalsurface
places of decimals, use π = )
(a) 234 cm2 (b) 936 cm2 7 area of the cylinder?
2
(c) 932 cm (d) 468 cm2 SC CGL 25/09/2024 (1st Shift)
S SSC CHSL 01/07/2024 (2nd Shift)
(a) 9.244 (b) 2.439 (c) 3.924 (d) 4.329 (a) 62π cm2 (b) 45π cm2
.182. The base radius of a circular
Q 2
(c) 65π cm (d) 60π cm2
cylinder is 10.5 cm. If the area of its .191.Acylindricaltankofradius14cm
Q
curvedsurfaceis792cm2 ,thenwhatis is full of water.If616litresofwaterare .199.Thesurfaceareasoftwospheres
Q
the volume of the cylinder? drawn out, then the water level in the are in theratio25:36.Whatistheratio
SSC CGL 19/09/2024 (2nd Shift) 22 of their volumes?
tank is dropped by ___ m. (Take π = )
(a) 4185 cm3 (b) 4518 cm3 7 SSC CHSL 01/07/2024 (2nd Shift)
3
(c) 4152 cm (d) 4158 cm3 SC CGL 25/09/2024 (2nd Shift)
S 36 25
1 36 5
2
(a) 1000 (b) 100 (c) 1 (d) 10 (a) (b) (c) (d)
115 216 125 36
.183. In a rectangularfield,thesumof
Q
the length and the breadth is 9 cmand .192. Find the diameter (in cm) of a
Q .200. The sides of a cuboid areinthe
Q
area is 18 cm². If the length is 'a' and circle whose circumference is equal to ratio3:4:5anditssurfaceareaisequal
breadthis'b',thenfindthevalueof (a²- the sum of the circumferences of two tothesurfaceareaofthecubewithside
ab + b²). circles of radii 12 cm and 16 cm. 6units.Whatistheapproximatevolume
SSC CGL 19/09/2024 (3rd Shift) SSC CGL 25/09/2024 (2nd Shift) of the Cuboid?
(a) 36 (b) 24 (c) 18 (d) 27 (a) 32 (b) 56 (c) 64 (d) 28 SSC CHSL 01/07/2024 (2nd Shift)
(a) 240 (b) 210 (c) 150 (d) 180
.193.Awellwith14cmradiusisdug23
Q
.184. Iftheareaofasectorofacircle
Q
cm deep. Find the volume of the earth .201.The radius of a roller is 49 cm and
Q
is462cm2 andthecentralangleis120°,
taken out of it. its length is 200 cm. It takes 700
then its radius is ______.
SSC CGL 25/09/2024 (3rd Shift) complete revolutions tomoveonceover
SSC CGL 19/09/2024 (3rd Shift)
(a) 14,178 cm3 (b) 14,108 cm3 tolevelaplayground.Findtheareaofthe
(a) 18 cm (b) 17 cm (c) 21 cm (d) 14 cm 22
(c) 14,168 cm3 (d) 15,168 cm3 playground (Useπ = )
7
.185.Thetotalsurfaceareaofaclosed
Q .194. Whatisthetotalsurfaceareaof
Q SC CHSL 01/07/2024 (3rd Shift)
S
cube is given as 1152cm2 .Whatisthe aconewhosecurvedsurfaceareais550 (a) 4312× 104 cm² (b) 4312× 102 cm²
length (in cm) of each side of the cube? cm² and radius is 7 cm? (c) 4322× 104 cm² (d) 4312× 103 cm²
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Pinnacle Day:19th - 28th Mensuration
3
.202. The curved surface area of a
Q SC CHSL 02/07/2024 (2nd Shift)
S v olume is792cm .Calculateitscurved
coneis2200cm²anditsradiusis28cm, (a) 276.35 cm² (b) 282.25 cm² surface area in cm2
what is the slant height (in cm) of the (c) 358.52 cm² (d) 362.10 cm² SSC CHSL 02/07/2024 (4th Shift)
22 (a) 262 (b) 490 (c) 264 (d) 226
cone? (Use π = ) .212. If the side of a square is
Q
7
SC CHSL 01/07/2024 (3rd Shift)
S increased by 5%, then the percentage .221. The internal length, breadth and
Q
(a) 22 (b) 23 (c) 24 (d) 25 increase in its area will be: height of a cardboard box are 6 cm,10
SSC CHSL 02/07/2024 (2nd Shift) cm and 12 cm, respectively. How many
.203.Ifthesideofacubeis3,whichof
Q (a) 11% (b) 10.25% (c) 10% (d) 10.5% boxesareneededinwhichcubeswhose
thefollowingoptionsisequaltotheratio volume is 2160 cm3 can be packed ?
betweenthesurfaceareaandthevolume .213.Ifthebricksizeis25cm×12cm
Q SSC CHSL 03/07/2024 (1st Shift)
of the cube ? × 9 cm, then how many bricks are (a) 6 (b) 5 (c) 3 (d) 4
SSC CHSL 01/07/2024 (4th Shift) required toconstructawalloflength10
(a) 2 : 3 (b) 2 : 1 (c) 2 : 5 (d) 2 : 7 m, breadth 22.5 cm and height 6 m ? .222. The heights of two cones are in
Q
SSC CHSL 02/07/2024 (2nd Shift) theratioof5:3andtheirradiiareinthe
.204. The surface area of a sphere is
Q (a) 4500 (b) 6000 (c) 8000 (d) 5000 ratio 6 : 5. Find the ratio of their volumes.
2464 cm2. Find its volume. SSC CHSL 03/07/2024 (1st Shift)
SSC CHSL 01/07/2024 (4th Shift) .214. An iron box with external
Q (a) 10 : 5 (b) 13 : 5 (c) 12 : 5 (d) 11 : 5
1
2 dimensions 60cm,40cm,and20cmis
(a) 13121 c m3 (b) 11498 c m3 .223. If the radius of a sphere is
Q
3 3 madeof1cmthicksheet.If1cm3 ofiron
2 1 weighs 50 gm, the weight of the empty doubled, then the volume of the sphere
(c) 11892 cm3 (d) 11621 cm3
3 3 box is: becomes ___ times the previous volume.
SSC CHSL 02/07/2024 (3rd Shift) SSC CHSL 03/07/2024 (1st Shift)
.205. Which of the following are the
Q
(a) 416.40 kg (b) 240 kg (a) two (b) one (c) eight (d) four
sides of a right - angled triangle ?
SSC CHSL 01/07/2024 (4th Shift) (c) 214.05 kg (d) 400 kg
.224.Thecurvedsurfaceareaofaright
Q
(a) 16 cm, 31 cm, 34 cm .215.Ifthediameterofahemisphereis
Q circular cylinder of height 14 cm, is 88
(b) 12 cm, 16 cm, 20 cm 42 cm, then the volume of hemisphere cm2. Find the total surface area of the
(c) 6 cm, 7 cm, 10 cm 22 cylinder.
(d) 5 cm, 11 cm, 13 cm (in cm3) is : Takeπ =
7 SSC CHSL 03/07/2024 (2nd Shift)
SC CHSL 02/07/2024 (3rd Shift)
S 360 660
.206. Find the diameter of a spherical
Q (a) m2
c (b) m2
c
(a) 19154 (b) 19254 (c) 19444 (d) 19404 7 7
ball whose volume is 38.808 cm³. 560 4 60
22 (c) cm2 (d) cm2
(Useπ = ) .216. Find the difference between the
Q 7 7
7 curved surface area and total surface
SC CHSL 01/07/2024 (4th Shift)
S .225. The areaofarectangularfieldis
Q
area of a right circularcylinderhavinga 3600m2. Ifthefieldis45mlong,whatis
(a) 4.8 cm (b) 4.4 cm
lengthof68cmandbasediameterof28 its perimeter ?
(c) 4.6 cm (d) 4.2 cm
cm. SSC CHSL 03/07/2024 (2nd Shift)
.207. The perimeter of a minor sector
Q SSC CHSL 02/07/2024 (3rd Shift) (a) 255 m (b) 260 m (c) 250 m (d) 265 m
ofacircleofradius4unitssubtendingan (a) 1432 cm2 (b) 1332 cm2
angle of 45° is : (c) 1132 cm 2
(d) 1232 cm2 .226. If the surface area of cuboid is
Q
SSC CHSL 02/07/2024 (1st Shift) 108 m2, then find the height of the
.217. The perimeter of atriangleis36
Q cuboid,whoselengthis6mandbreadth
(a) 4 − π units (b) 8 + π units
units. Its area cannot be more than _____ is 3 m.
(c) 8 − π units (d) 4 + π units
square units. SSC CHSL 03/07/2024 (2nd Shift)
.208.Ifthediameterofahemisphereis
Q SSC CHSL 02/07/2024 (3rd Shift) (a) 5.5 m (b) 5 m (c) 4.5m (d) 4 m
21 cm, then the curved surfacearea(in (a) 12 7 (b) 36 2 (c) 36 3 (d) 18 5
.227. Foragivencircleofradius4cm,
Q
22
cm²) of the hemisphere is : Take π = .218.The outer surface of a sphere
Q the angle of its sector is 45°. Find the
7
SC CHSL 02/07/2024 (1st Shift)
S having diameter 10 m is painted at the area (in cm2) of the sector. (Use π =
(a) 639 (b) 939 (c) 693 (d) 963 80 3.14.)
rateof₹ perm².Whatisthecostof
π SSC CHSL 03/07/2024 (3rd Shift)
.209.Thecapacityofacylindertankis
Q ainting?
p (a) 7.28 (b) 6.28 (c) 6.18 (d) 7.18
8316 cm3. If theradiusofitsbaseis21 SSC CHSL 02/07/2024 (4th Shift)
.228. If the height of a right circular
Q
cm, then find the depth of the tank. (a) ₹8,000 (b) ₹9,000
cone is 24 cm and radius of its base is
SSC CHSL 02/07/2024 (1st Shift) (c) ₹4,000 (d) ₹6,000
10.5 cm, then the volume of right circular
(a) 6 cm (b) 8 cm (c) 4 cm (d) 10 cm
.219.Thetrianglehassides3cm,4cm
Q 22
cone (in cm³) is : Take π =
.210. Thevolumeofacubeisreduced
Q and 5 cm. What is the length of the 7
to72.9%.Byhowmuchisthesideofthe perpendicularfromtheoppositevertexto SC CHSL 03/07/2024 (3rd Shift)
S
cube reduced ? the side whose length is 5 cm ? (a) 2727 (b) 2772 (c) 2277 (d) 2237
SSC CHSL 02/07/2024 (2nd Shift) SSC CHSL 02/07/2024 (4th Shift)
.229. If the radius of a sphere is
Q
(a) 9.5% (b) 10% (c) 9% (d) 8.5% (a) 3.5 cm (b) 2.4 cm
increasedby12percent,thenthevolume
(c) 2.2 cm (d) 1.4 cm
.211.Ahemispherehasaradiusof6.2
Q will be increased by approximately:
cm. Find its total surface area (use π= .220. The radius and height of a
Q SSC CHSL 03/07/2024 (3rd Shift)
3.14) (round off to two decimal places). cylinder are in the ratio 6 : 7 and its (a) 41.49 percent (b) 45.49 percent
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Pinnacle Day:19th - 28th Mensuration
(c) 40.49 percent (d) 42.5 percent SC CHSL 04/07/2024 (3rd Shift)
S SC CHSL 05/07/2024 (1st Shift)
S
(a) 61802 (b) 611726 (a) 4,928 (b) 2,414 (c) 4,828 (d) 2,464
.230. A cylindrical iron rod whose
Q (c) 87318 (d) 65622
heightistwelvetimesitsradiusismelted .247.Asolidcoppersphereofradius9
Q
and cast into spherical balls, the radius .239. The diameter of a cylinder is 14
Q cm isdrawnintoawireofradius4mm.
ofeachofwhichisonethirdoftheradius cm anditsheightis9cm.Findthetotal Find the length of the wire
of the cylinder. Find the number of surface area of the cylinder. SSC CHSL 05/07/2024 (2nd Shift)
spherical balls. SSC CHSL 04/07/2024 (3rd Shift) (a) 70.25 m (b) 60.75 m
SSC CHSL 03/07/2024 (4th Shift) (a) 704 cm2 (b) 714 cm2 (c) 20.75 m (d) 65.25 m
2
(a) 243 (b) 198 (c) 224 (d) 212 (c) 708 cm (d) 700 cm2
.248. Find the height of the triangle
Q
.240. From a circle, a sector with a
Q
.231. If the area of a triangle whose
Q whose base is two-thirds of its height
central angle of 30° is cut off. If the
base measures 6 cmis18cm2, thenits and whose area is 363 cm²
lengthofthearcofthissectoris5.5cm,
height is: SSC CHSL 05/07/2024 (2nd Shift)
thenfindtheradius(incm)ofthecircle.
SSC CHSL 03/07/2024 (4th Shift) (a) 33 cm (b) 27 cm (c) 29 cm (d) 31 cm
22
(a) 6 cm (b) 3.1 cm (c) 9 cm (d) 2.2 cm [Useπ = ]
7 .249. Find the percentage increase in
Q
.232. The edges of a rectangular box
Q SC CHSL 04/07/2024 (4th Shift)
S surface area of a cube by triple each
areintheratioof3:5:8,anditssurface (a) 12 (b) 10 (c) 11 (d) 10.5 side.
area is 632 cm². .241. If the height of a solid right
Q SSC CHSL 05/07/2024 (3rd Shift)
What will be the volume of the box ? circularcylinderis27cmanddiameterof (a) 700% (b) 800% (c) 650% (d) 500%
SSC CHSL 04/07/2024 (1st Shift) its base is 30cm,thetotalsurfacearea
(a) 801 cm³ (b) 960 cm³ .250. If the length, breadth and total
Q
(in cm²) of the right circular cylinder is:
(c) 990 cm³ (d) 510 cm³ surface area of a cuboid are 30 cm,20
22
(Такеπ = ) cmand2600cm2, respectively,thenfind
7
.233.Three solid cubes of metal have
Q its height.
SC CHSL 04/07/2024 (4th Shift)
S
sides 6 cm, 8 cm and 10 cm, SSC CHSL 05/07/2024 (3rd Shift)
(a) 3978 (b) 3960 (c) 3976 (d) 3964
respectively. They are melted to form a (a) 50 cm (b) 30 cm (c) 14 cm (d) 15 cm
new cube. What is the surface area of .242. 3 solid spheres of diameters 6
Q
this new cube? .251. Two similar triangles have area
Q
cm,8cmand10cmaremeltedtogether
SSC CHSL 04/07/2024 (1st Shift) 490 sq . cm. and 640 sq . cm. If the
to form a single solid sphere. Find its
(a) 812 cm2 (b) 950 cm2 lengthoftheonesideofthefirsttriangle
radius.
2
(c) 915 cm (d) 864 cm2 is 21 cm, then what isthelengthofthe
SSC CHSL 04/07/2024 (4th Shift)
corresponding side of the second
(a) 3 cm (b) 12 cm (c) 9 cm (d) 6 cm
.234. If the diameter of the base and
Q triangle?
curved surfaced area of a cylinder are .243. The ratio of the lateral surface
Q SSC CHSL 05/07/2024 (4th Shift)
14cmand352cm2 ,respectively,thenthe area to the total surface area of a (a) 16 cm (b) 14 cm (c) 24 cm (d) 21 cm
totalsurfaceareaofthecylinderisequal cylinder with base diameter 60 cm and
to: .252.Thediameterofarolleris35cm
Q
height 10 cm is:
SSC CHSL 04/07/2024 (1st Shift) and its length is 100 cm. It takes 200
SSC CHSL 04/07/2024 (4th Shift)
(a) 660 cm2 (b) 654 cm2 complete revolutions to level a
(a) 1 : 9 (b) 1 : 3 (c) 1 : 7 (d) 1 : 4
2
(c) 760 cm (d) 754 cm2 playground. Find the area of the
.244.Thelength,breadthandheightof
Q playground in m2
.235. The radius of a sphere is
Q a cuboid are in ratio of 3 : 4 : 5. If the SSC CHSL 05/07/2024 (4th Shift)
increased by 25%. What is the increase volumeofthecuboidis1620m3,findthe (a) 220 (b) 2,20,00,000
percent in surface area? total surface area of the cuboid. (c) 1,10,000 (d) 110
SSC CHSL 04/07/2024 (2nd Shift) SSC CHSL 05/07/2024 (1st Shift)
.253.Theperimeterofarectangleis70
Q
(a) 15.55% (b) 36.45% (a) 646 m2 (b) 846 m2
cmanditsdiagonalis25cm.Theareaof
(c) 56.25% (d) 25.25% 2
(c) 423 m (d) 712 m2
the rectangle is :
.236. What is the curved surface area
Q .245.Acylindricaloiltankhasaradius
Q SSC CHSL 08/07/2024 (1st Shift)
of cylinder whose radius is 3cm and of 5 m and a total surface area of 628 (a) 425 cm2 (b) 420 cm2
2
22 m², what would be its curved surface (c) 300 cm (d) 625 cm2
height is 14cm ? (Takeπ = )
7 area? (round off to the second decimal .254. A solid sphere of radius 8cmis
Q
SC CHSL 04/07/2024 (2nd Shift)
S place) melted and then recast into small
(a) 262 cm² (b) 264 cm² SSC CHSL 05/07/2024 (1st Shift) spherical balls each of diameter 4 cm.
(c) 263 cm² (d) 261 cm² (a) 401.43 m² (b) 371.83 m² Find the number of balls thus obtained
(c) 470.8 m² (d) 481.43 m² 22
.237. The total surface area ofasolid
Q (usedπ = ).
hemisphere of diameter 28 cm is: 7
.246. Rajesh is playing with a football
Q
SSC CHSL 04/07/2024 (3rd Shift) SC CHSL 08/07/2024 (1st Shift)
S
having diameter of 28 cm. He wants to
(a) 1848 cm2 (b) 1784 cm2 (a) 64 (b) 48 (c) 32 (d) 24
get a photo of his favourite player
(c) 1488 cm2 (d) 1648 cm2 painted on the entire ball. The painter .255. If the radius of a sphere is
Q
.238. Find thecapacityofanoverhead
Q charges ₹2/cm². What will be the cost (in increased by 3.5 cm, its surface area
cylindrical water tank, in litres, whose 22 increases by 550 cm2. What was the
₹) of painting the ball (take π = ) ?
radius is 2.1 m and height is 6.3 m. 7 original radius of the sphere ?
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Pinnacle Day:19th - 28th Mensuration
22 .5 m and height 3 m is made from a
1 (a) 512 (b) 343 (c) 216 (d) 729
(useπ = )
7 sheetofmetal,howmuchsheetofmetal
SC CHSL 08/07/2024 (2nd Shift)
S is required to do it ? .273.Findthesurfacearea(incm²)ofa
Q
(a) 4 cm (b) 4.5 cm (c) 6 cm (d) 3.5 cm SSC CHSL 09/07/2024 (2nd Shift) cardboard box in the shape ofacuboid
(a) 42.24 square metre whoselengthis60cm,breadthishalfits
.256.Theperimeterofasquarewhose
Q length and height is one-third of its
(b) 24.24 square metre
area is the same as the area of a breadth.
(c) 42.42 square metre
emi-circle of radius 2 2cm is:
s (d) 24.42 square metre SSC CHSL 11/07/2024 (1st Shift)
SSC CHSL 08/07/2024 (2nd Shift) (a) 2700 (b)10800 (c) 8100 (d) 5400
(a) 8 π cm (b) 8 2π cm .265. Twocubeshavetheirvolumesin
Q
.274.Fromacircleofradiusrunits,the
Q
the ratio 1 : 125. Find the ratio of their
(c) 16 π cm (d) 4 π cm largest equilateral triangle is cut out.
surface areas.
Whatisthelength(inunits)ofthesideof
.257. A metallic solid cuboid of
Q SSC CHSL 09/07/2024 (2nd Shift)
the triangle?
dimensions 36 cm × 22 cm × 12 cm is (a) 1 : 125 (b) 1 : 25 (c) 1 : 5 (d) 25 : 1
SSC CHSL 11/07/2024 (1st Shift)
meltedandrecastintheformofcubesof
.266.Iftheradiusofthebaseandslant
Q 𝑟 𝑟
side6cm.Findthenumberofthecubes (a) (b) 2r (c) 3r (d)
height of the cone is 6 cm and 10 cm, 2 3
so formed.
respectively,thenthevolumeofthecone
SSC CHSL 08/07/2024 (2nd Shift) .275.Iftheareaofarhombusis70m2
Q
is equal to:
(a) 45 (b) 46 (c) 43 (d) 44 and its height is 5 m, its perimeter is ____.
SSC CHSL 09/07/2024 (3rd Shift)
SSC CHSL 11/07/2024 (2nd Shift)
.258. The area of an isosceles right
Q (a) 108 π cm3 (b) 98 π cm3
3
(a) 64 m (b) 35 m (c) 56 m (d) 25 m
angled triangle is 16 m2 . Its hypotenuse (c) 106 π cm (d) 96 π cm3
is _______. .276. The measure of each side ofan
Q
.267. Find the number of paper balls,
Q
SSC CHSL 08/07/2024 (3rd Shift) equilateraltriangleis16cm.Whatisthe
each 2 cm in diameter, that can be made
(a) 0.8 m (b) 8 m (c) 4 m (d) 8 cm ratio of its perimeter to the sum of its
from a sphere of diameter 18 cm.
medians?
SSC CHSL 09/07/2024 (4th Shift)
.259. Find the cost of painting a ball
Q SSC CHSL 11/07/2024 (2nd Shift)
(a) 1020 (b) 484 (c) 625 (d) 729
that is in the shape of a sphere with a (a) 3: 2 (b) 2 3: 1 (c) 2 : 3(d) 1 :2 3
radiusof14cm.Thepaintingcostofthe Q.268. A cuboidal water purifier can
ball is ₹5 per square centimetre .277. Ahemisphericalbowlismadeof
Q
1
22 carry10litresofwater.Itsbreadthis silverandhasaninnerdiameterof4cm
5
(take π = ). if the thickness of silver is0.5cm.Find
7
1
SC CHSL 08/07/2024 (4th Shift)
S ofitsheightandlengthis ofthesum the volume of silver used inmakingthe
3
(a) ₹12,230 (b) ₹12,320 f the breadthandheight.Theheightof
o bowl correct to two places of decimals
(c) ₹13,022 (d) ₹13,220 the tank is: (useπ = 3.14 )
SSC CHSL 10/07/2024 (1st Shift) SSC CHSL 11/07/2024 (2nd Shift)
.260. Two cubes, each of edge 5 cm,
Q (a) 15.69 cm3 (b) 51.96 cm3
(a) 20 cm (b) 10 cm (c) 80 cm (d) 50 cm
are joined facetoface.Findthesurface 3
(c) 15.96 cm (d) 51.69 cm3
area of the cuboid thus formed. .269. A cube of edge 4 cm iscutinto
Q
SSC CHSL 08/07/2024 (4th Shift) .278. The volume of the rectangular
Q
cubeseachofedgeof2cm.Theratioof
(a) 250 cm² (b) 300 cm² block is12288m3. Itsdimensionsarein
thetotalsurfaceareaofoneofthesmall
(c) 125 cm² (d) 200 cm² theratioof4:3:2.Iftheentiresurface
cubes to that of the largecubeisequal
ispolishedattherate2paiseperm2 ,then
to:
.261. The length of a rectangular
Q find the total cost of polishing :
SSC CHSL 10/07/2024 (2nd Shift)
shaped SSC CHSL 11/07/2024 (4th Shift)
(a) 1 : 4 (b) 1 : 64 (c) 1 : 8 (d) 1 : 16
park exceeds itsbreadthby15m.Ifthe (a) ₹44.42 (b) ₹11.14
perimeter of the park is 110 m,findthe .270.Thecurvedsurfaceareaofaright
Q (c) ₹66.56 (d) ₹33.28
length of the park (in m). circularconeis20π cm2. Ifitsradiusis4
SSC CHSL 09/07/2024 (1st Shift) cm, then find the volume of cone. SSC CPO 2024 Tier - 1
(a) 35 (b) 40 (c) 25 (d) 20 SSC CHSL 10/07/2024 (2nd Shift)
(a) 21π cm3 (b) 20π cm3 .279. A hemispherical bowl is 88 cm
Q
.262. If the lateral surface area of a
Q 3 round the brim. Assuming it to be full,
(c) 16 π cm (d) 18π cm3
cube is 144 cm2 , then find its volume. howmanypersonsmaybeservedfromit
SSC CHSL 09/07/2024 (1st Shift) .271. The ratio of the outer and the
Q in hemispherical glasses, 7 cm in
(a) 864 cm3 (b) 1728 cm3 inner circumference of acircularpathis 2
2
(c) 117.58 cm3
(d) 216 cm3 diameter at the top ?(Where π = )
7:6.Ifthepathis45mwide,thenwhat 7
is the radius (in m) of the inner circle? SC CPO 27/06/2024 (1st Shift)
S
.263. If the areas of three adjacent
Q
SSC CHSL 10/07/2024 (2nd Shift) (a) 74 (b) 68 (c) 64 (d) 70
facesofacuboidare5cm2 ,15cm2 ,27
(a) 240 (b) 270 (c) 150 (d) 120
cm2 ,respectively,thesurfaceareaofthe .280.Thechordlengthofachordmade
Q
cuboid is: .272. A solid metallic cube having
Q onanarcofacircleisequaltotheradius
SSC CHSL 09/07/2024 (1st Shift) surfaceareaof54cm²ismeltedtoform of the circle. The length of the arc is
(a) 75 cm2 (b) 47 cm2 8 ______(inunits),iftheradiusofthecircle
(c) 45 cm2
(d) 94 cm2 smaller cubes of surface area cm²
12 22
is 21 units. (Takeπ= )
ach. Find the number of smaller cubes.
e 7
Q.264.A closed cylindrical tank of radius SSC CPO 27/06/2024 (1st Shift)
SSC CHSL 10/07/2024 (4th Shift)
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Pinnacle Day:19th - 28th Mensuration
(a) 20 (b) 22 (c) 24 (d) 21 r ectangular box. Find the volume of the .296.Thedistancebetweentheparallel
Q
box. sidesofatrapeziumis18cm.Ifthearea
.281. The base of a parallelogram is
Q SSC CPO 27/06/2024 (3rd Shift) ofthetrapeziumis1188cm2 ,thenwhat
twice its height. If the area of the (a) 2750 cm3 (b) 5750 cm3 is the sum of the lengthsoftheparallel
parallelogram is 338 cm2, then find its 3
(c) 3750 cm (d) 4750 cm3 sides?
height (in cm). SSC CPO 28/06/2024 (3rd Shift)
SSC CPO 27/06/2024 (1st Shift) .289.Adrainagetileisacylindricalshell
Q (a) 150 cm (b) 115 cm
(a) 13 (b) 11 (c) 14 (d) 12 42 cm long. The inside and outside (c) 126 cm (d) 132 cm
diameters are 8 cm and 14 cm,
Q.282.Whatisthetotalsurfaceareaofa respectively. What is thevolume(incm3) .297. The area of the canvas cloth
Q
𝑟 22 needed to erect a right conical tent of
conewhoseradiusis ndslantheight
a f clay required for the tile? ((Useπ =
o )
4 7 height 20ft. and circular base of
is 4𝑙? SC CPO 27/06/2024 (3rd Shift)
S circumference 30π ft. is:
SSC CPO 27/06/2024 (1st Shift) (a) 5241 (b) 4356 (c) 4881 (d) 4125 SSC CPO 28/06/2024 (3rd Shift)
𝑟 (a) 455π sq .ft. (b) 375π sq .ft.
(a) 8πr(𝑙+ r ) (b) πr(𝑙+ )
6
1 .290.Oneladdoowitharadiusof5cm
Q (c) 589π sq .ft. (d) 470π sq .ft.
𝑟 belongs to a shopkeeper. How many
(c) πr(𝑙+
) (d) 4πr(𝑙+ r)
4 laddoosofradius2.5cmmaybecreated .298. The volume of a right circular
Q
from the same one laddoo ? coneis150π cm³anditsheightis18cm.
.283.Howmanymetresofclothwillbe
Q
SSC CPO 28/06/2024 (1st Shift) Finditsslantheight(incm)(correctto2
required to make a conical tent, the
(a) 2 (b) 6 (c) 4 (d) 8 decimal places).
radius of whose base is 21 metres and
SSC CPO 28/06/2024 (3rd Shift)
height is 28 metres. The width of the .291. The cost of painting a spherical
Q (a) 18.68 (b) 25.35 (c) 28.68 (d) 15.25
2
2 vessel of diameter 14 cm is ₹21,560.
cloth is 5 metres. (Where π = )
7
What is the cost of painting (in ₹) per .299. A school has two rectangular
Q
SC CPO 27/06/2024 (1st Shift)
S 22 playgrounds, which aresimilarinshape.
(a) 470 (b) 462 (c) 456 (d) 478 square centimetre ? (Use π = ) If the length and thebreadthofthefirst
7
SC CPO 28/06/2024 (1st Shift)
S playground are given as 224mand160
.284. The volume of a cube is four
Q m, respectively, then which of the
(a) 30 (b) 32 (c) 28 (d) 35
timesthevolumeofacuboid.Ifthesides following options CANNOT be the
ofthecuboidare32cm,8cmand4cm, .292.The radius of the base and height
Q dimensions of the second playground ?
then find the ratio of the total surface of a cone are 5 cm and 6 cm, SSC CPO 29/06/2024 (1st Shift)
area of the cube to that of the cuboid. respectively, whereas the radius of the (a) Length = 273 m; Breadth = 195 m
SSC CPO 27/06/2024 (2nd Shift) baseandheightofacylinderare2.5cm (b) Length = 168 m; Breadth = 120 m
(a) 23 : 13 (b) 24 : 13 and 3 cm, respectively. The ratio of the (c) Length = 210 m; Breadth = 150 m
(c) 21 : 13 (d) 22 : 13 volumeoftheconetothatofthecylinder (d) Length = 343 m; Breadth = 255 m
22
.285. A copper sphere of diameter 12
Q is: (Where π = ) .300. The height and radius of a
Q
7
cm is drawn into a wire of diameter 4 cone-shapedstoragetankare9ft.and7
SC CPO 28/06/2024 (1st Shift)
S
mm. What is the length (in cm) of the ft.,respectively.Findthevolumeofwater
(a) 8 : 5 (b) 9 : 4 (c) 8 : 3 (d) 3 : 5
22 22
wire? (Whereπ = ) the tank can hold ? (Use π = )
7 .293. A cylinder of radius 7 cm has a
Q 7
SC CPO 27/06/2024 (2nd Shift)
S curvedsurfaceareaof2200cm².Findits SC CPO 29/06/2024 (1st Shift)
S
(a) 7200 (b) 7823 (c) 8342 (d) 9000 22 (a) 462 cubic ft. (b) 527 cubic ft.
total surface area. (Use𝜋=
)
.286.Thelengthofthelargestpossible
Q
7 (c) 1386 cubic ft. (d) 1423 cubic ft.
rodthatcanbeplacedinacubicalroom SC CPO 28/06/2024 (2nd Shift)
S
(a) 2508 cm² (b) 2260 cm² .301.Thebreadthofaroomistwiceits
Q
is 42 3 m. The surface area (in m²) of heightandhalfitslength.Thevolumeof
(c) 2550 cm² (d) 1580 cm²
thelargestpossiblespherethatfitwithin 3
t he room is 1728 𝑚 .The length of the
22 .294. A hollow sphere of external and
Q
the cubical room is: [Useπ =
] room is:
7 internal diameters of 10 cm and 6 cm, SSC CPO 29/06/2024 (1st Shift)
SC CPO 27/06/2024 (2nd Shift)
S respectively, is melted and made into (a) 20 m (b) 24 m (c) 34 m (d) 28 m
(a) 3590 (b) 4589 (c) 2564 (d) 5544 another solid in the shape of a right
circular cone of base diameter 10 cm. .302. A woman working in acompany
Q
.287.Findtheareaofaminorsectorof
Q
Find the height of the cone. wassuppliedarectangularsolid(cuboid
a circle whose circumference is 88 cm
SSC CPO 28/06/2024 (2nd Shift) shape) of wax with dimensions 70 cm,
and the length of its minor arc is 22 cm
(a) 13.68 cm (b) 14.68 cm 44 cm and 20 cm to preparecylindrical
22
(useπ = ). (c) 16.68 cm (d) 15.68 cm candles, each14cmindiameterand20
7
SC CPO 27/06/2024 (2nd Shift)
S cm of height. Find the number of
.295. A spherical box has a surface
Q candles.
(a) 154 cm2 (b) 451 cm2
2 area 528 cm². Find the radius of the SSC CPO 29/06/2024 (1st Shift)
(c) 415 cm (d) 145 cm2
spherical box. (a) 15 (b) 20 (c) 10 (d) 30
.288.Arectangularsheetofmetalis60
Q SSC CPO 28/06/2024 (2nd Shift)
cmby25cm.Equalsquaresofside5cm Q.303.A cone of slant height 4.2 units
(a) 37cm (b) 42cm 2
are cut off at the corners and the as a lateral surface area 13.2 𝑢𝑛𝑖𝑡𝑠 .
h
(c) 29cm (d) 35cm
remainder is folded up to formanopen The radius of the base is:
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Pinnacle Day:19th - 28th Mensuration
SC CPO 29/06/2024 (1st Shift)
S ( a) 24 cm ( b) 12.5 cm .320.Theheightofasolidcylinderis4
Q
(a) 1 unit (b) 1.5 units (c) 12 cm (d) 25 cm times its radius. Its curvedsurfacearea
(c) 2.5 units (d) 2 units is ________ times its base area.
.312. The radius of a hemisphere is 9
Q Matriculation Level 21/06/2024 (Shift - 4)
.304.Thein-radiusofatriangleis8cm,
Q cm. Its volume will be: (a) 2 (b) 6 (c) 8 (d) 4
andthesumofthelengthsofitssidesis Matriculation Level 20/06/2024 (Shift - 4)
125cm.Theareaofthetriangle(incm²) (a) 712π cm3 (b) 243π cm3 .321. The lateral surface area of a
Q
is 3
(c) 486π cm (d) 972π cm3 cylinder is 3862.2 cm² and its height is
SSC CPO 29/06/2024 (2nd Shift) 15 cm. Find its volume (take π = 3.14)
.313.Ifthecylinderheightis9cmand
Q
(a) 480 (b) 1000 (c) 250 (d) 500 correct to one decimal place.
the base area is 25π cm², then find the
Matriculation Level 24/06/2024 (Shift - 1)
.305. Melting a metal ball of radius 3
Q total surface area.
(a) 79175.1 cm³ (b) 88275.2 cm³
units, 27 identical dice and a ball of Matriculation Level 20/06/2024 (Shift - 4)
(c) 78275.2 cm³ (d) 89175.1 cm³
radius1unitsaremade.Whatistheside (a) 240 cm2 (b) 140 cm2
2
of dice? (c) 440 cm (d) 340 cm2 .322. The length of cold storage of
Q
SSC CPO 29/06/2024 (2nd Shift) cuboidalshapeisdoubleitsbreadthand
.314.Theheightofoneconeis3times
Q
(a) 1.7 units (b) 1.5 units its height is half of its breadth. If its
the height of another cone, while its
(c) 1.6 units (d) 1.4 units volume is 216 m³, then what are the
radius is half of the radius of the other
dimensions of the cold storage?
.306. The ratio of theslantheightand
Q cone. If their total volume is 100 unit³,
Matriculation Level 24/06/2024 (Shift - 1)
theheightofaconeis4:3.Ifthecurved then the difference in the volumes of the
(a) 12 m × 6m × 3m (b) 12 m × 9m × 5m
cones is _______ unit³.
urface areaoftheconeis4 7π square
s (c) 14 m × 7m × 5m (d) 8m × 4m × 2m
Matriculation Level 21/06/2024 (Shift - 1)
units, then the radius of the cone is
(a) 12.5 (b) 14.3 (c) 13.4 (d) 15.5 .323. The volume of a right circular
Q
______units.
SSC CPO 29/06/2024 (3rd Shift) cylinder of base radius r is obtained by
.315. A cube ishavingsurfaceareaof
Q
multiplying its curved surface area by :
7 5400 square units. Its volume would
(a) 7 7 (b) 7 (c) 7 (d) Matriculation Level 24/06/2024 (Shift - 4)
7 increase approximately ________ if the
2 1 𝑟
side is increased by 5 units. (a) (b) (c) 2r (d)
.307. The length of a side of an
Q 𝑟 2𝑟
2
Matriculation Level 21/06/2024 (Shift - 1)
equilateraltriangleis18cm.Thearea(in
(a) 59% (b) 45% (c) 55% (d) 50% .324.Howmanycubesoflength50cm
Q
cm2) of the region lying between the
can be accommodatedinacontainerof
circumcircle and the incircle of the .316. If the radius of a sphere is
Q 5 m in length, 2 m in width and 5 m in
22 increased by 2 cm, its surface area
triangle is [ useπ =
] height ?
7 increases by 704 cm². What was the Matriculation Level 25/06/2024 (Shift - 1)
SSC CPO 29/06/2024 (3rd Shift) radius of the sphere before the increase? (a) 400 (b) 500 (c) 450 (d) 250
3
1 22
(a) 254 (b) 254 (Use π = )
7 7 7 .325. Find the area of a right angle
Q
2 4 atriculation Level 21/06/2024 (Shift - 1)
M whose baseis15cmandhypotenuseis
(c) 254 (d) 254
7 7 (a) 14 cm (b) 11 cm (c) 12 cm (d) 13 cm 17 cm.
.308. The area of a circle is 256π
Q Matriculation Level 26/06/2024 (Shift - 1)
.317. What must be the total
Q
square cm. The length of its longest (a) 40 cm² (b) 55 cm²
percentage change in the volume of a
chord (in cm) is: (c) 60 cm² (d) 75 cm²
cuboid if its length and breadth are
SSC CPO 29/06/2024 (3rd Shift) decreasedby10%and20%,respectively, .326. The dimensions of arectangular
Q
(a) 34 (b) 36 (c) 6 (d) 32 while its height is increased by 40%? field when extended by 6 metres are in
Matriculation Level 21/06/2024 (Shift - 4) theratioof4:3andwhendecreasedby
SSC Selection Post (Phase - XII) (a) 0.8% increase (b) 0.8% decrease 6metresareintheratioof2:1.Findthe
(c) 1.8% increase (d) 1.8% decrease dimensions of the field.
.309. The perimeter of one face of a
Q Higher Secondary 20/06/2024 (Shift - 2)
cube is 40 cm. Its volume will be: .318. There is a large cone with a
Q (a) 16 metres, 12 metres
Matriculation Level 20/06/2024 (Shift - 1) diameterof14mandheightof12m.Itis (b) 10 metres, 6 metres
(a) 10 cm³ (b) 100 cm³ beingfilledwithwateratarateof2m3 in (c) 18 metres, 12 metres
(c) 1000 cm³ (d) 10000 cm³ every 20 seconds. How long will it take to (d) 14 metres, 10 metres
fill the cone?
.310. If the length of each of the two
Q Matriculation Level 21/06/2024 (Shift - 4) .327.Theradiusofacircleisincreased
Q
equalsidesofanisoscelestriangleis15 (a) 313 sec (b) 6160 sec in such a way that its circumference
cm and the adjacent angle is 30°, then (c) 616 sec (d) 12320 sec increases by7%.Asaresult,theareaof
the area of the triangle is: the circle also increases by:
Matriculation Level 20/06/2024 (Shift - 1) .319. The volume of a cuboidistwice
Q Higher Secondary 20/06/2024 (Shift - 2)
(a) 66.25 cm² (b) 36.25 cm² the volume of acube.Ifthedimensions (a) 18.69% (b) 10.28%
(c) 56.25 cm² (d) 26.25 cm² of the cuboid are 12 cm, 16 cmand18 (c) 14.49% (d) 12.20%
cm, then the total surface area of the
.311.Thelateralsurfaceareaofacone
Q cube is: .328. The radii of the two concentric
Q
is550cm².Ifthediameteroftheconeis Matriculation Level 21/06/2024 (Shift - 4) circlesare27cmand18cm.Thearea(in
14 cm, then the height of the cone is: (a) 625 cm2 (b) 864 cm2
2
𝑐 𝑚 )oftheclosedfigureboundedbythe
Matriculation Level 20/06/2024 (Shift - 1) (c) 484 cm2 (d) 764 cm2 boundaries of the circle is:
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Pinnacle Day:19th - 28th Mensuration
igher Secondary 20/06/2024 (Shift - 2)
H t he right circular cone will be increased SC CGL Tier II (26/10/2023)
S
(a) 505π (b) 405π (c) 288π (d) 504π by: (a) 4650(b) 4800(c) 4500(d) 4200
Graduate Level 26/06/2024 (Shift - 4)
.329. A hemispherical bowl has a 21
Q .346.Asolidcube,whoseeachedgeis
Q
(a) 15% (b) 12% (c) 10% (d) 8%
cm radius. It is to be painted inside as oflength48cm,ismelted.Identicalsolid
wellasoutside.Thecostofpaintingitat .338. Half the perimeter of a
Q cubes,eachofvolume64cm3, aremade
the rate of ₹0.05percm2 andassuming rectangulargarden,whoselengthis8cm out of this molten cube, without any
that the thickness of the bowl is more than its width, is 42 cm. Find the wastage. How many such small cubes
22 area of the rectangular garden. are obtained ?
negligible, is:(Use π = )
7 Graduate Level 26/06/2024 (Shift - 4) SSC CGL Tier II (26/10/2023)
igher Secondary 24/06/2024 (Shift - 2)
H (a) 524 cm2 (b) 425 cm2 (a) 1728 (b) 1718 (c) 1748 (d) 1738
(a) ₹410.10 (b) ₹188.30 2
(c) 254 cm (d) 542 cm2
(c) ₹277.20 (d) ₹388.20 SSC CPO 2023 Tier - 1
.339.Thevolumeofacubeis64cm3 .
Q
Q.330. If the areaofaregularpentagon The total surface area of the cube is:
is 3920 3cm², then how long is its each Graduate Level 26/06/2024 (Shift - 4) .347. The cost of painting the total
Q
side? (a) 16 cm2 (b) 64 cm2 surface area of a 30 m high solid right
Higher Secondary 25/06/2024 (Shift - 2)
2
(c) 96 cm (d) 128 cm2 circularcylinderattherateof₹25perm2
(a) 38 cm (b) 56 cm (c) 58 cm (d) 46 cm is ₹18,425. What is the volume (in m3) of
SSC CHSL 2023 Tier - 2 22
.331. The base of a parallelogram is
Q this cylinder [useπ = ] ?
7
thrice its height. If the area of the .340. The diameter of a sphere is
Q SC CPO 03/10/2023 (2nd Shift)
S
parallelogram is1020cm2 ,thenwhatis increased by 30%. What is the (a) 1210(b) 1155(c) 1145(d) 1122
its height? percentage increase in its volume ?
Higher Secondary 25/06/2024 (Shift - 2) SSC CHSL Tier II (02/11/2023) .348. What will be the difference
Q
(a) 69% (b) 119.7% (c) 41.7% (d) 90.5% between the total surface area and the
(a) 2 85cm (b) 89cm
curved surface area of a hemisphere
(c) 82cm (d) 2 84cm .341. The diameter of ahemispherical
Q
having 4 cm diameter ?
bowlis21cm.Thevolumeofthebowlis
.332. A sphere and a cubehaveequal
Q SSC CPO 03/10/2023 (2nd Shift)
22
surfaceareas.Theratioofthevolumeof equal to: (use π = ) (a) 4.4π cm2 (b) 5π cm2
7 2
the sphere to (c) 4π cm (d) 8π cm2
SC CHSL Tier II (02/11/2023)
S
that of the cube is: (a) 2,624.5 cm³ (b) 2,425.5 cm³ .349. A conical shape vessel has a
Q
Higher Secondary 25/06/2024 (Shift - 4) (c) 2,725.5 cm³ (d) 2,524.5 cm³ radiusof21cmandhasaslantheightof
( a) 6 : 𝜋
( b) 𝜋
: 8
25cm.Ifthecurvedpartofthevesselis
.342. The radius and height of a right
Q
(c) 3: 𝜋 (d) 2 : 𝜋 tobepaintedwhite,findthecost(in₹)of
circular cone is increased by 25%. Find
.333. The surface area of a sphere is
Q theincreaseinpercentageofthevolume painting at the rate of ₹1.5 per cm2.
2464 cm². Calculate its volume. of the cone (rounded off to 2 decimal SSC CPO 03/10/2023 (2nd Shift)
22 places). (a) 2475(b) 825 (c) 1650(d) 1250
(Use π = )
7 SSC CHSL Tier II (02/11/2023)
igher Secondary 26/06/2024 (Shift - 2)
H .350. A solid sphere made of wax of
Q
(a) 94.31% (b) 95.31% radius 12 cm is melted and cast into
(a) 11598.67 cm³ (b) 11478.67 cm³
(c) 94.51% (d) 93.51% solid hemispheres of radius 4 cmeach.
(c) 11488.67 cm³ (d) 11498.67 cm³
.343.Ahollowcubeismadeofpaperto
Q Find the number of such solid
.334.Theareaoftherhombus(incm2)
Q have a volume of 512 cubic units. How hemispheres.
havingeachsideequalto13cmandone much paper in square units will be SSC CPO 03/10/2023 (3rd Shift)
of its diagonals equal to 24 cm is: required to make the cube? (a) 14 (b) 54 (c) 28 (d) 27
Graduate Level 20/06/2024 (Shift - 3) SSC CHSL Tier II (10/01/2024)
(a) 110 (b) 120 (c) 60 (d) 130 .351.Findtheareaofarhombusifthe
Q
(a) 328 (b) 348 (c) 288 (d) 384
perimeter of the rhombusis52cm,and
.335.Findthearea(incm2 )ofacircle
Q .344. A right rectangular box’s
Q one of its diagonals is 10 cm long.
with a maximum radius that can be measurements are 1.6 m long, 90 cm SSC CPO 03/10/2023 (3rd Shift)
inscribed in a rectangle of length 18 cm wide, 60 cm in height. Soap cakes of (a) 164 cm² (b) 144 cm²
and breadth 12 cm. measurement6cm×5cm×40mmare (c) 160 cm² (d) 120 cm²
Graduate Level 20/06/2024 (Shift - 3) tobepackedinthebox,sothatnospace
(a) 72π (b) 28π (c) 136π (d) 36π isleft.Howmanycakescanbepackedin .352. The total surface area of a
Q
the box ? square-based right pyramid is 1536 m²,
.336. The difference between thetotal
Q SSC CHSL Tier II (10/01/2024) ofwhich37.5%istheareaofthebaseof
surfaceareaandlateralsurfaceareaofa (a) 6000 (b) 5600 (c) 6500 (d) 7200 the pyramid. What isthevolume(inm³)
cube,ifthesideofthecubeis11cm(in of this pyramid ?
square cm), is _________ . SSC CGL 2023 Tier - 2 SSC CPO 04/10/2023 (1st Shift)
Graduate Level 26/06/2024 (Shift - 3) (a) 3108 (b) 3048 (c) 3072 (d) 3144
(a) 244 (b) 243 (c) 242 (d) 241 .345.Theratioofthelength,widthand
Q
.353. If the diameter of a sphere is
Q
heightofaclosedcuboidisgivenas6:3
.337. If the radius of the right circular
Q reduced to its half, then the volume
:2.Thetotalsurfaceareaofthiscuboid
cone is increased by 20%anditsheight would be :
isgivenas1800cm2.Findthevolume(in
isdecreasedby25%,thenthevolumeof SSC CPO 04/10/2023 (2nd Shift)
cm3) of this cuboid.
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Pinnacle Day:19th - 28th Mensuration
1 .361.Iftheslantheightofaconeis29
Q equilateral triangle is 6 3 cm. The area
(a) reduced by f the former volume
o
8 cmanditsheightis20cm,findtheratio f the triangle is:
o
1 betweenthemagnitudesoftotalsurface
(b) increased by of the former volume SSC MTS 05/09/2023 (3rd Shift)
4
area and the volume.
1 (a) 36 3cm2 (b) 36 cm2
(c) reduced by of the former volume SSC CPO 05/10/2023 (3rd Shift)
4 (c) 72 cm2 (d) 72 3 cm2
1 (a) 3 : 7 (b) 3 : 14 (c) 5 : 14 (d) 7 : 15
(d) increased by of the former volume
8 Q.370.The areas of three adjacent faces
.362.Theradiusofametallicspherical
Q
2
.354. The heights of two cones are in
Q ballis3cm.Ifthemetallicballismelted f a cuboid are𝑝, 𝑞
o and𝑟𝑢𝑛𝑖𝑡 ,
the ratio 7 :5andtheirdiametersarein andrecastintoxnumberofhemispheres respectively. What is its volume ?
the ratio 10 : 21. What is the ratio of their of radius equal to half the radiusofthe SSC MTS 06/09/2023 (3rd Shift)
3
22 metallicsphericalball,thenfindthevalue 3 3 3 3
(a)𝑝 𝑞 𝑟 𝑢𝑛𝑖𝑡 (b) 𝑝𝑞𝑟𝑢𝑛𝑖𝑡
volumes ? (Where π = )
7 of x. 3 3 3
SC CPO 04/10/2023 (2nd Shift)
S (c)𝑝𝑞𝑟𝑢𝑛𝑖𝑡 (d) 𝑝𝑞𝑟𝑢𝑛𝑖𝑡
SSC CPO 05/10/2023 (3rd Shift)
(a) 17 : 21 (b) 14 : 19 (a) 14 (b) 16 (c) 13 (d) 15 .371.Acylinderhasatotalsurfacearea
Q
(c) 20 : 63 (d) 26 : 47 of 64π squareunits,wheretheheightof
.363.Ahollowcylindricaltubemadeof
Q
.355. The diameter ofahemisphereis
Q the cylinder is equal to its radius. Ifthe
plastic is 3 cm thick. If the external
equal to the diagonal of a rectangle of height is doubled and the radius is
diameteris20cmandlengthofthetube
length 4 cm and breadth3cm.Findthe halved,thenthetotalsurfaceareaofthe
is 49 cm, find the volume of the plastic.
total surface area (in cm2) of the new cylinder is________square units.
SSC CPO 05/10/2023 (3rd Shift)
hemisphere. SSC MTS 08/09/2023 (3rd Shift)
(a) 7644 cm3 (b) 7238 cm3
SSC CPO 04/10/2023 (3rd Shift) 3 (a) 54π (b) 40π (c) 64π (d) 48π
(c) 7854 cm (d) 7546 cm3
50π 25π 75π
(a) 25π (b) (c) (d) .372.Ahollowmetalsphereofinternal
Q
4 4 4
SSC MTS 2023 Tier - 1 and external radii 5 cm and 6 cm,
.356. The height and the radiusofthe
Q respectively, is melted into a solid cone
base of a right circular cone are in the .364.Thediameterofametallicsphere
Q
ofbaseradius5.2cm.Whatistheheight
ratio of 12 : 5. If itsvolumeis314cm³, is 6 cm. It is melted and drawn into a
(incm,roundedoffto1decimalplace)of
thenwhatistheslantheightofthecone wire having a diameter of the cross
the cone ?
? (Use π = 3.14) sectionas0.4cm.Findthelengthofthe
SSC MTS 11/09/2023 (1st Shift)
SSC CPO 05/10/2023 (1st Shift) wire (in meters).
(a) 11.8 (b) 12.8 (c) 13.5 (d) 14.5
(a) 11 cm (b) 14 cm (c) 12 cm (d) 13 cm SSC MTS 01/09/2023 (1st Shift)
(a) 18 (b) 9 (c) 12 (d) 10 .373. Find the area (in cm²) of the
Q
.357. A right square pyramid having
Q rhombus, lengths of whose diagonals
lateral surface area is 624 cm². If the .365. Fromacuboidofdimensionof8
Q
are, respectively, 7.5 cm and 5.6 cm.
length of the diagonal of the square is 24 × 6 × 6 units, smallcubesofdimension
SSC MTS 11/09/2023 (3rd Shift)
0.5 × 0.5 × 0.5 unit are cut. How many
2, then the volume of the pyramid is: (a) 21 (b) 28 (c) 27 (d) 30
small cubes can be cut from the big
SC CPO 05/10/2023 (1st Shift)
S
cuboid ? .374. If a hollow sphereofanexternal
Q
(a) 780 cm³ (b) 1150 cm³
SSC MTS 01/09/2023 (3rd Shift) andinternaldiametersof6cmand4cm,
(c) 1083 cm³ (d) 960 cm³
(a) 576 (b) 1152 (c) 2304 (d) 1552 respectively, is melted into a cone of
.358.Acylinderhassomewaterinitat
Q base diameter 8 cm, then the height of
aheightof16cm.Ifasphereofradius9 .366. The radius and the height of a
Q
the cone is:
cm isputintoit,thenfindtheriseinthe rightcircularconeareintheratio3:4.If
SSC MTS 12/09/2023 (1st Shift)
height of the water if the radius of the its volume is 301.44m³, find the slant
3
1
height (useπ = 3.14). (a) 4 m
c (b) 3 m
c
cylinder is 12 cm. 4 4
SSC CPO 05/10/2023 (1st Shift) SSC MTS 04/09/2023 (1st Shift) 1 3
(a) 5 cm (b) 20 cm (c) 10 cm (d) 15 cm (c) 5 cm (d) 2 cm
(a) 1.6 cm (b) 8.75 cm 4 4
(c) 8 cm (d) 6.75 cm
.367. Water is pouring into a cuboidal
Q .375. A conical tent is set to
Q
.359.Whatwillbetheareaofaplotof
Q reservoir at the rate of 50 litres per accommodate 15 persons. Each person
quadrilateral shape, one of whose minute. The volume of the reservoir is must have 5squaremetresofspaceon
diagonals is 20 m and lengths of the 3
20 𝑚 . How manyhourswillittaketo
1 thegroundand30cubicmetresofairto
perpendiculars from the opposite fill the reservoir ? breathe. What is the height of the cone?
vertices on it are 12 m and 18 m, SSC MTS 04/09/2023 (3rd Shift) SSC MTS 12/09/2023 (2nd Shift)
respectively ? (a) 35 (b) 45 (c) 40 (d) 30 (a) 15 m (b) 22 m (c) 13 m (d) 18 m
SSC CPO 05/10/2023 (2nd Shift)
(a) 250 m² (b) 400 m² .368. Usingthemiddlepointsofsides
Q .376. A solid metallic cuboidoflength
Q
(c) 200 m² (d) 300 m² of a square with an area of 36 square 11 cm,breadth8cmandheight6cmis
units, another square is made. What is melted and reshaped to form a coneof
.360. Two metallic balls P and Q are
Q height 14 cm. What is the radius ofthe
theareaofanewsquaremadeinsquare
suchthatthediameterofPisfourtimes cone thus formed ?
units?
the diameter of Q . What is the ratio SSC MTS 13/09/2023 (3rd Shift)
SSC MTS 05/09/2023 (2nd Shift)
between the volumes of P and Q? (a) 6 cm (b) 9 cm (c) 7 cm (d) 8 cm
(a) 24 (b) 27 (c) 18 (d) 21
SSC CPO 05/10/2023 (2nd Shift)
(a) 8 : 1 (b)16 : 1 (c) 64 : 1 (d) 32 : 1 Q.369.The length of the median of an Q.377.The length, breadth and height of
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Pinnacle Day:19th - 28th Mensuration
cuboidareintheratioof6:4:3.Ifthe
a f edge 7 cm.
o (c) 13.57 cm² (d) 17.35 cm²
total surface area of the cuboid is 972 SSC CHSL 03/08/2023 (2nd Shift)
.393.Acopperwireisbentintheform
Q
cm², what is the length (in cm) of the (a) 179.67𝑐 𝑚
3
(b) 169.67𝑐 𝑚
3
of a square and it encloses an area of
diagonal of the cuboid ? 3 3
(c) 189.67𝑐 𝑚 (d) 199.67𝑐 𝑚 30.25 cm2. If the same wire is bent to
SSC MTS 14/09/2023 (1st Shift)
form a circle, then find the area of the
(a) 5 65(b) 3 61 (c) 3 65(d) 5 61 .385.Ifamapofacitywasdrawnona
Q
22
scaleof0.2cmtoakm,whatareawould circle. (use π = ).
7
.378.A triangle has its sides 5 cm, 12
Q represent a country if it has an area of
SC CHSL 11/08/2023 (2nd Shift)
S
cm and 13 cm. Whatwillbetheareaof 22500 km²?
(a) 38.50 cm2 (b) 42.25 cm2
the triangle formed by joining the mid SSC CHSL 04/08/2023 (2nd Shift) 2
(c) 35 cm (d) 30.25 cm2
point of the three sides ? (a) 2500 cm² (b) 2250 cm²
SSC MTS 14/09/2023 (2nd Shift) (c) 5625 cm2 (d) 900 cm2 .394. Ahemisphericalbowlismadeof
Q
1
1 1cmthicksteel.Theinsideradiusofthe
(a) 7 cm2 (b) 19 cm2 .386. The sides of the three cubes of
Q
2 2
bowlis4cm.Thevolumeofthesteel(in
1 metal are 15 cm, 18 cm and 25 cm,
(c) 13 cm2 (d) 15 cm2 cm³) used in making the bowl is:
2 respectively. Findtheside(incm)ofthe
SSC CHSL 17/08/2023 (2nd Shift)
newcubeformedbymeltingthesecubes
.379.Theheightofarightcircularcone
Q
2
1
together (a) 40 π (b) 27 π
is20cm,anditsbasediameteris30cm. 3 3
SSC CHSL 04/08/2023 (2nd Shift)
What is thecurvedsurfaceareaandthe 1 1
3 3 3 3 (c) 41 π (d) 35 π
total surface area of the right circular (a) 9 388(b) 6 388(c) 7 388(d) 4 388 3 3
cone, respectively ? .395. A rod of 5 cmradiusand52cm
Q
.387. Ashopkeeperusuallymakesone
Q
SSC MTS 14/09/2023 (2nd Shift) lengthisconvertedintoawireof100cm
big besan laddoo (spherical in shape)
(a) 335π cm² and 525π cm² length of uniform thickness. The radius
with a radius of 9 cm. With the same
(b) 390 cm² and 475π cm² of the wire (in cm) is:
laddoo, How many besan laddoos of
(c) 450 cm² and 625π cm² SSC CHSL 17/08/2023 (4th Shift)
22
(d) 375π cm² and 600π cm² radius 3 cm can be made? (Use π = )
7 (a) 13 (b) 15 (c) 23 (d) 17
SC CHSL 04/08/2023 (3rd Shift)
S
SSC CHSL 2023 Tier - 1 (a) 9 (b) 18 (c) 36 (d) 27 SSC CGL 2023 Tier - 1
.380. Aman wants to gethisspherical
Q .388. The area of a triangleishalfthe
Q .396.Ranucarrieswatertoschoolina
Q
overhead water tank having a diameter area of a square. The perimeter of the cylindricalflaskwithdiameter12cmand
of7m,painted.Ifthecostofpaintingis squareis172cm.Whatistheareaofthe height 21 cm. Determine the amountof
₹13 per square metre, find the cost of triangle (in cm²) ? water that she can carry in the flask.
painting Aman’s spherical overhead SSC CHSL 04/08/2023 (4th Shift) 22
22 (Use π = )
water tank. (Useπ = ) (a) 924.5 (b) 1984 (c) 1849 (d) 992 7
7 SC CGL 14/07/2023 (4th shift)
S
SC CHSL 02/08/2023 (2nd Shift)
S .389. A cuboidal water tank is 12 m
Q (a) 2372 cm³ (b) 2370 cm³
(a) ₹1,872 (b) ₹1,984 long, 9 m wide and 7.5 m deep. How (c) 2376 cm³ (d) 2374 cm³
(c) ₹2,002 (d) ₹1,926 many litres of water can it hold?
SSC CHSL 08/08/2023 (1st Shift) .397. If the areaofacircleis616cm²
Q
.381.If the height and slant height of a
Q and a chord XY = 10 cm, then find the
(a) 840000 (b) 805000
cone are 21 cm and 29 cm, respectively. perpendicular distance from the center
(c) 780000 (d) 810000
22 of the circle to the chord XY.
Find the volume. (useπ = )
7 .390. What is the area of a triangular
Q SSC CGL 17/07/2023 (1st shift)
SC CHSL 02/08/2023 (3rd Shift)
S flower bed ofagardenwhoseperimeter (a) 171cm (b) 161cm
(a) 8800 cm3 (b) 8780 cm3 is20metresandtwosidesare5metres
3
(c) 8440 cm (d) 8080 cm3 (c) 117cm (d) 181cm
and 6 metres.
SSC CHSL 08/08/2023 (4th Shift) .398.Theareaoftwotrianglesisinthe
Q
.382. The perimeterofaparallelogram
Q 2 2
is 48 cm. If the height of the (a)10 2𝑚
(b)2 10𝑚
ratio 5 : 3 and their heights are in the
parallelogram is 6 cm and thelengthof
2
(c)5 2𝑚 (d)4 5𝑚
2 ratio 5 : 7. Find the ratio of their bases.
the adjacent side is 8 cm. find its area. SSC CGL 17/07/2023 (1st shift)
SSC CHSL 03/08/2023 (1st Shift) .391. The perimeter of a sector of a
Q (a) 3 : 5 (b) 7 : 3 (c) 7 : 5 (d) 2 : 3
2 2 circle of radius 7.4 cm is 20.6 cm. The
(a) 90𝑐 𝑚 (b) 80𝑐 𝑚 .399. If the side of an equilateral
Q
area of this sector is:
(c) 84𝑐 𝑚
2
(d) 96𝑐 𝑚
2 triangle is increased by 34%, then by
SSC CHSL 10/08/2023 (3rd Shift)
2 2 what percentage will its area increase?
.383. In an isosceles triangle, if the
Q (a) 42.92𝑐 𝑚 (b) 5.8𝑐 𝑚
2 2 SSC CGL 17/07/2023 (2nd shift)
unequal side is 8 cm and equal side is 5 (c) 10.73𝑐 𝑚 (d) 21.46𝑐 𝑚 (a) 70.65% (b) 79.56%
cm, then the area of the triangle is: (c) 68.25% (d) 75.15%
.392.Theperimeterofaminorsectorof
Q
SSC CHSL 03/08/2023 (1st Shift)
2 2
acircleofradius5cmis15.5cm.Findthe .400. An arc of length 23.1 cm
Q
(a) 12𝑐 𝑚 (b) 25𝑐 𝑚 22
2 2 rea of the minor sector (use π =
a ). subtends an 18° angle at the centre.
(c) 6𝑐 𝑚 (d) 11𝑐 𝑚 7 What is the area of the circle ?
SC CHSL 11/08/2023 (1st Shift)
S 22
.384. Find the volume of the largest
Q [Useπ= ]
(a) 17.53 cm² (b) 13.75 cm² 7
possible sphere circumscribed by a cube
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Pinnacle Day:19th - 28th Mensuration
SC CGL 17/07/2023 (2nd shift)
S cuboid are in the ratio 1 : 2 : 3. The
a t riangle is 12 cm. What is the lengthof
(a) 16978.50 cm² (b) 16988.50 cm² length, breadth andheightofthecuboid the circumradius of the triangle?
(c) 16878.50 cm² (d) 16798.50 cm² are increased by 200%,300%and300%, SSC CGL 24/07/2023 (1st shift)
respectively. Then compared to the (a) 8√3 cm (b) 2√3 cm
.401. What is the volume of a cube if
Q original volume, the increase in the (c) 6√3 cm (d) 4√3 cm
the perimeter ofonefaceofthecubeis volume of the cuboid will be:
40 cm ? SSC CGL 20/07/2023 (4th shift) .418. A ball is to be made with inner
Q
SSC CGL 17/07/2023 (3rd shift) (a) 47 times (b) 26 times radius of2unitsandoutsideradiusof3
(a) 1000 cm³ (b) 820 cm³ (c) 17 times (d) 15 times units. How much material is requiredto
(c) 600 cm³ (d) 800 cm³ make the ball ?
.410. The volume of a cuboidistwice
Q SSC CGL 24/07/2023 (4th shift)
.402. A spherical ball of lead, 3 cmin
Q that of a cube. If the dimensionsofthe 19 6
7
diameter,ismeltedandrecastintothree (a) π (b)19π (c) π (d)π
cuboidare(8m×8m×16m),thetotal 3
3
spherical balls. The diametersoftwoof surface area of the cube is:
3 .419. A metallic cube has each of its
Q
these balls are cm and 2cm , SSC CGL 21/07/2023 (1st shift)
2 side of length 12 cm. It is melted and
(a) 316 m² (b) 288 m²
r espectively. Find the diameter of the recast into three small cubes. Out of
(c) 324 m² (d) 384 m²
third ball. these cubes, two have their sides as 6
SSC CGL 17/07/2023 (4th shift) .411. The perimeter of an isosceles
Q cmand8cm,respectively.Thelengthof
(a) 2.1 cm (b) 3.3 cm (c) 3 cm (d) 2.5 cm triangle is 100 cm.Ifthebaseis36cm, each side of the third cube is:
then find its semi perimeter (in SSC CGL 25/07/2023 (1st shift)
.403. Theareaofthesectorofacircle
Q (a) 7 cm (b) 9 cm (c) 10 cm (d) 5 cm
centimetres).
of radius 12 cm is 32 π cm². Find the
SSC CGL 21/07/2023 (2nd shift)
length of the corresponding arc of the .420.Thefieldis150mlongand80m
Q
(a) 64 (b) 60 (c) 45 (d) 50
sector. wide.Howmanytimes(roundedoffto1
SSC CGL 17/07/2023 (4th shift) .412. Theareaofthesectorofacircle
Q decimal place) is its perimeter to the
16 13 of radius 28 cm is 112 cm². Find the length of its diagonal?
(a)
3
π𝑐𝑚 (b)
3
π𝑐 𝑚 SSC CGL 25/07/2023 (1st shift)
length of the corresponding arc of the
10 8
sector. (a) 2.3 (b) 2.5 (c) 2.7 (d) 3.1
( c) π𝑐 𝑚 ( d) π𝑐 𝑚
3 3
SSC CGL 21/07/2023 (3rd shift)
.421.Thelength,breadthandheightof
Q
.404. The ratio of the length of each
Q (a) 4 cm (b) 8 cm (c) 6 cm (d) 5 cm
a hall are 10 m, 20 m and 15m
equal side and the third side of an respectively. Find the cost of
.413. If the volume of one brick is
Q
isosceles triangle is 3 : 5. Iftheareaof whitewashing the walls of the inside of
2 0.0014m³,thenhowmanybrickswillbe
t he triangle is30 11𝑐 𝑚 , then the length required toconstructawalloflength14 the hall and ceiling at the rate of
of the third side (in cm) is: m, breadth 0.125 m and height 5 m? ₹10.20/m²
SSC CGL 18/07/2023 (2nd shift) SSC CGL 21/07/2023 (3rd shift) SSC CGL 25/07/2023 (2nd shift)
(a)10 6 (b)5 6 (c)13 6 (d)11 6 (a) 5250 (b) 3250 (c) 6250 (d) 4250 (a) ₹13,394 (b) ₹11,220
(c) ₹15,320 (d) ₹16,542
.405.Aconicaltenthasaradiusof7m
Q .414. If the inner radius of a
Q
andaverticalheightof24m.Howmany .422. A cuboid with sides 4, 6 and 8
Q
hemispherical bowl is 5 cm and its
fullbagsofricecanbeemptiedinitifthe unitsiscoveredwithpaper.Thepaperis
thickness is 0.25 cm, then find the
spaceoccupiedbythericeineachbagis removed and a square is made from it.
volume of the material required in
2 m³ ? What is the side (in units) of the square?
22
SSC CGL 19/07/2023 (1st shift) makingthebowl.(useπ= )(Rounded SSC CGL 25/07/2023 (4th shift)
7
(a) 566 (b) 616 (c) 716 (d) 650 (a) 12.24 (b) 16.62 (c) 14.42 (d) 12.62
p to two places of decimals).
u
SSC CGL 21/07/2023 (4th shift) .423.Whatisthesurfacearea(incm²)
Q
.406. To have a surface area of 9π
Q
(a) 34 cm3 (b) 44 cm3 of a spherical sculpturewhoseradiusis
square units of a ball, what should be the
(c) 45.34 cm3 (d) 41.28 cm3 22
diameter (in units) of the ball? 35 cm ? (Take π = )
SSC CGL 19/07/2023 (3rd shift) .415. A one metre pipe is made with
Q 7
(a) 2.5 (b) 2 (c) 1.5 (d) 3 innerdiameterequaltoouterradius.How SC CGL 26/07/2023 (2nd shift)
S
muchmaterial(incubicunits)isrequired (a) 16540 (b) 15700
.407. A solidconewithcurvedsurface
Q (c) 15400 (d) 14500
88
areatwiceitsbaseareahasslantheight tomakethepipe,ifitcanhold cubic
7
f 6 3cm. Its height is :
o .424. A petrol tank is of length 50 m,
Q
etres water in it ?
m
SSC CGL 20/07/2023 (2nd shift) breadth 25 m, and depth 10 m. How
SSC CGL 24/07/2023 (1st shift)
many litres of petrol can be
(a) 6 2cm (b) 9 cm (c) 6 cm (d) 3 6cm (a) 37.7 (b) 35.5 (c) 33.3 (d) 36.6
accommodatedinthepetroltankwhenit
.408. The width of a rectangle is 2 m
Q .416.Theratioofthelengthtowidthof
Q is completely filled?
less than its length. If the perimeter of acertainrectangleis3:2andtheareais SSC CGL 26/07/2023 (2nd shift)
the rectangle is 68 m, then what is the 150 cm². Theperimeteroftherectangle (a) 1,25,00,000 (b) 12,50,000
length (in metres) of the rectangle? (in cm) is : (c) 1,25,000 (d) 12500
SSC CGL 20/07/2023 (4th shift) SSC CGL 24/07/2023 (1st shift)
(a) 20 (b) 18 (c) 16 (d) 17 (a) 20 (b) 30 (c) 50 (d) 40 .425. Inthefollowingfigure,thelength
Q
of arc AB is equal to five times of the
Q.409.The length, breadth and height of Q.417.The length of each side of a radius r of the circle. Find the area of
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Pinnacle Day:19th - 28th Mensuration
sector AOB ? atriculation Level 27/06/2023 (Shift - 1)
M (c) 360 metres (d) 300 metres
(a) 1.1 (b) 1.22 (c) 1.33 (d) 1
.441.If the area of a square is 529 cm2,
Q
.433. The perimeter of an isosceles
Q then what is the length of its diagonal?
right - angled triangle having an areaof SSC MTS 03/05/2023 (Morning)
200 cm² is: (a) 23 cm (b) 26 3 (c) 23 2 (d) 46 cm
Matriculation Level 28/06/2023 (Shift - 1)
SSC CGL 27/07/2023 (1st shift)
(a) 68.3 cm (b) 78.2 cm .442. The length of a cuboid is six
Q
2 2
1 2 2
(a) 2.5𝑟 (b) 𝑟 ( c) 3𝑟 ( d) 2𝑟 (c) 70.6 cm (d) 58.6 cm times of its breadth and theheightofa
2
cuboidisfourtimesofitsbreadth.Ifthe
.434.Asolidspherehasasurfacearea
Q breadthofthecuboidis3cm,thenwhat
.426. A hemispherical bowl has a
Q
of 616 cm². This sphere isnowcutinto is the total surface area of the cuboid ?
radius of 7 cm. It is to be paintedfrom
two hemispheres. What is the total SSC MTS 03/05/2023 (Evening)
insideaswellasoutside.Findthecostof
surface area of one of the hemispheres? (a) 484 cm2 (b) 612 cm2
painting it at the rate of Rs.40 per 20
Matriculation Level 28/06/2023 (Shift - 1) 2
(c) 576 cm (d) 676 cm2
cm²? (Takethethicknessofthebowlas
(a) 440 cm² (b) 462 cm²
negligible).
(c) 452 cm² (d) 390 cm² .443.Theratioofradiiofacylindertoa
Q
SSC CGL 27/07/2023 (1st shift)
cone is 3 : 1. If their heights are equal,
(a) Rs.1,232 (b) Rs.1,125 .435. The curved surface area of a
Q What is the ratio of their volumes?
(c) Rs.1,432 (d) Rs.1,550 cylindricalpillaris528m2 anditsvolume SSC MTS 03/05/2023 (Evening)
is 1848 m3. Theratiobetweenitsradius (a) 1 : 3 (b) 27 : 1 (c) 9 : 1 (d) 1 : 9
.427. A circular arc whose radius is 4
Q
and height is ________.
cm makes an angle 45° at the centre. .444.Theratioofthesidesofatriangle
Q
Matriculation Level 30/06/2023 (Shift - 3)
Find the perimeter of the sector formed. is 11 : 11 : 4. If the area of triangle is
22
(a) 9 : 10 (b) 7 : 12 (c) 7 : 3 (d) 9 : 5
(Take π = ) 2 117 cm² , then whatisthelengthof
7
.436. To pack a set of books, Surbhi
Q t he equal sides?
SSC CGL 27/07/2023 (3rd shift)
made a carton that was48incheslong, SSC MTS 04/05/2023 (Morning)
78 72
(a) m
c (b) m
c 27 inches wide and30inchestall.What (a) 3 cm (b) 13 cm (c) 11cm (d) 9 cm
7 7
will be the total surface area (insquare
74 76 .445. The two adjacent sides of a
Q
(c) cm (d) cm feet)ofthiscarton,onceitisclosedfrom
7 7 parallelogram are 12 cm and 5 cm
all sides? [Use 1 foot = 12 inches]
Matriculation Level 30/06/2023 (Shift - 4) respectively.Ifoneofthediagonalsis13
SSC Selection Post (Phase - XI) cm long, then what is the area of the
(a) 49.25 (b) 48.25 (c) 48.75 (d) 49.75
parallelogram?
.428.Ifthevolumeofacubeisgivenas
Q
SSC MTS 04/05/2023 (Afternoon)
12167 cm³, then thesurfaceareaofthe SSC CHSL 2022 Tier - 2 (a) 60 cm2 (b) 30 cm2
cube will be: 2
(c) 75 cm (d) 25 cm2
Graduate Level 27/06/2023 (Shift - 4) .437.Thelengthofarectangularplotis
Q
(a) 3475 cm² (b) 4574 cm² thrice its breadth. If the area of the .446. A cuboid whose sides are 8cm,
Q
(c) 3174 cm² (d) 5413 cm² rectangularplotis2700m²,thenwhatis 27 cm and 64 cm is melted to form a
the breadth of the rectangular plot? newcube.Whatistherespectiveratioof
.429. What is the side of a cube (in
Q SSC CHSL Tier II (26/06/2023) the total surface areaofthecuboidand
metres)inwhichanironrodofmaximum (a) 20 m (b) 12 m (c) 30 m (d) 28 m cube ?
length 10 metres can be put ? SSC MTS 08/05/2023 (Morning)
Graduate Level 28/06/2023 (Shift - 3) (a) 307: 216 (b) 291: 203
SSC MTS 2022 Tier - 1
(a) 5.77 (b) 7.57 (c) 5.57 (d) 7.75 (c) 349: 248 (d) 329: 237
.438. When a wireisbentintheform
Q
.430. The volumeofacylinderis1650
Q
ofasquare,thentheareaenclosedbyit 1
m³,whereasthesurfaceareaofitsbase Q.447. Find th of the volume of a
is5929cm².Ifwireisbentintotheform 21
4
is 78 m² . Find the height of the of a circle, then what will be the area emisphere whose radius is 4.2 m
h
7
enclosed by the wire? SSC MTS 08/05/2023 (Afternoon)
ylinder.
c
SSC MTS 02/05/2023 (Afternoon) (a) 6.6 m³ (b) 7.3 m³ (c) 8.2 m³ (d) 7.1 m³
Graduate Level 30/06/2023 (Shift - 1)
(a) 7.5 m (b) 14 m (c) 21 m (d) 2.1 m (a) 7546 cm² (b) 8542 cm² .448.Two cubes each of edge 9 cm are
Q
(c) 7632 cm² (d) 6954 cm² joined to form a single cuboid. What is
.431.Findthelengthofadiagonalofa
Q the total surface area of the cuboid
.439. What will be the area of the
Q
cuboid whose dimensions are 12 m, 10 formed ?
semi-circle of perimeter 3.6 meters?
m and 8 m. (up to one decimal point) SSC MTS 08/05/2023 (Afternoon)
SSC MTS 02/05/2023 (Afternoon)
Matriculation Level 27/06/2023 (Shift - 1) (a) 775 cm² (b) 810 cm²
(a) 1.54 m² (b) 1.76 m²
(a) 18m (b) 16.5m (c) 17m (d) 17.54m (c) 990 cm² (d) 1024 cm²
(c) 1.10 m² (d) 0.77 m²
.432. The internal and external
Q .440. The ratio of the outer and the
Q .449. The radius of the base of a
Q
diameters of a hollow hemispherical inner circumference of acircularpathis conicaltentis8manditsheightis15m,
bowlare6cmand10cm,respectively.If 17 : 15. If path is 40 metres wide, then what is the cost of the materialneeded
it is melted and recast into a solid what is the radius of the inner circle? to make it if it costs Rs.54 perπ m² ?
cylinder of diameter 14 cm, what is the SSC MTS 02/05/2023 (Evening) SSC MTS 08/05/2023 (Evening)
height of the cylinder in cm? (a) 280 metres (b) 340 metres (a) Rs.6454 (b) Rs.7344
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Pinnacle Day:19th - 28th Mensuration
2 2 2 2
(c) Rs.8678 (d) Rs.7454 (a) π cm (b) 3πcm (c) 2π cm (d) 4π cm (c) 2322500 litre (d) 2250500 litre
.450. The largest possible sphere is
Q
3 .468. A solid cylinder having radius of
Q
Q.459. If theradiusofasphereis of
carvedoutofacubeofside6cm.What 4 base as 28 cm and height as 24 cm is
is the volume of the sphere ? t he radius of a hemisphere, then what bisected from its height to get two
SSC MTS 09/05/2023 (Morning) willbetheratioofthevolumesofsphere identical cylinders. What will be the
792 144 and hemisphere ? percentage increase in the totalsurface
(a) m³
c (b) m³
c
7 7 SSC MTS 12/05/2023 (Morning) area ?
133 444 (a) 9:16 (b) 51 : 64 (c) 27 : 32 (d) 18:64
(c) cm³ (d) cm³ SSC MTS 17/05/2023 (Morning)
3 7
(a) 61.72 percent (b) 41.92 percent
.451. Find the area of the rhombus
Q .460. The area of the base of a
Q
(c) 53.85 percent (d) 48.64 percent
whose diagonals are 16 cm and 20 cm. rectangular tank is 720 m² and the
volumeofwatercontainedinitis28800 .469. The height and curved surface
Q
SSC MTS 09/05/2023 (Morning)
m³. What is the depth of the water ? area of the cylinder are 15 cm and 330
(a) 110 cm² (b) 150 cm²
SSC MTS 12/05/2023 (Morning) cm². Find the diameter of the cylinder.
(c) 160 cm² (d) 120 cm²
(a) 30 m (b) 40 m (c) 50 m (d) 60 m SSC MTS 17/05/2023 (Morning)
.452. Two cubes of iron whose edges
Q (a) 2 cm (b) 5 cm (c) 7 cm (d) 6 cm
are 7 cm and 11 cm are melted and .461.Sidesofatriangleare6cm,8cm
Q
and 10 cm. What is the area of the .470. The length, breadth, height of a
Q
formed into a single cube. Find the
triangle ? roomare6m40cm,4m80cmand3m
volume (in cm³ ) of the new cube formed.
SSC MTS 12/05/2023 (Afternoon) 20cmrespectively.Findthelongesttape
SSC MTS 09/05/2023 (Afternoon)
(a) 20 cm² (b) 28 cm² which can measure the dimensions of
(a) 1881(b) 1674 (c) 1444 (d) 1221
(c) 24 cm² (d) 16 cm² the room exactly.
.453. Length of a rectangle is 58
Q SSC MTS 17/05/2023 (Morning)
meters, while its breadth is 30 meters. .462. What is the area of the lateral
Q (a) 1 m 80 cm (b) 1 m 20 cm
What isthetotalcostofcoveringitwith surface of a rightcircularcylinder,Ifthe (c) 1 m 60 cm (d) 1 m 40 cm
grass bed if cost is Rs. 20 per m2 ? circumference of thebaseis22cmand
its height is four times of its radius? .471. A solid hemisphere of radius 8
Q
SSC MTS 09/05/2023 (Evening)
SSC MTS 12/05/2023 (Evening) cmismeltedintoNidenticalconewhose
(a) Rs. 34800 (b) Rs. 32400
(a) 388 cm² (b) 308 cm² radiusis4cmandheightis2cm.Then,
(c) Rs. 28500 (d) Rs. 17400
(c) 408 cm² (d) 288 cm² what is the value of N ?
.454. Find the weight of a cylindrical
Q SSC MTS 17/05/2023 (Afternoon)
iron container with base radius12.6cm .463.Iftheheightsoftwocylindersare
Q (a) 26 (b) 10 (c) 32 (d) 25
andheightis4m,wheretheweightof1 in the ratio of 7 : 9 and their diameters
.472. The ratio of the outer and the
Q
cm³ of iron is 2 grams ? are in the ratioof6:7,thenwhatisthe
innercircumferencesofacircularpathis
SSC MTS 10/05/2023 (Morning) ratio of the volumes of the cylinders ?
11 : 7. If path is 20 metres wide, then
(a) 299.284 kg (b) 199.584 kg SSC MTS 15/05/2023 (Afternoon)
what is the radius of the inner circle ?
(c) 399.168 kg (d) 499.482 kg (a) 6 : 7 (b) 7 : 9 (c) 5 : 9 (d) 4 : 7
SSC MTS 17/05/2023 (Evening)
.464. If the curved surface area of a
Q (a) 20 metres (b) 55 metres
.455. F
Q ind the area of the triangle
solid cylinder is two-fifth of its total (c) 65 metres (d) 35 metres
whose h eight is 56 cm and the
1 surfacearea,thenwhatistheratioofits
corresponding base is th of the height. .473. The longest side of the obtuse
Q
4 diameter to its height ?
triangle is 7cmandtheothertwosides
SC MTS 10/05/2023 (Evening)
S SSC MTS 15/05/2023 (Evening)
of the triangle are 4 cm and5cm.Find
(a) 544 cm² (b) 440 cm² (a) 2 : 5 (b) 1 : 2 (c) 2 : 3 (d) 3 : 1
the area of the triangle.
(c) 392 cm² (d) 480 cm²
.465.
Q Difference between the SSC MTS 18/05/2023 (Morning)
.456. The outer radius of a spherical
Q circumferences of two circles is 4.4cm (a) 1√3 cm² (b) 6√3 cm²
shell is 13 cm and the thickness of the andradiusofthesmallercircleis1.4cm. (c) 3√2 cm² (d) 4√6 cm²
shell is 3cm.Whatisthevolumeofthe The radius of the larger circle is:
.474. If the diagonalofasquareis18.4
Q
22 SSC MTS 16/05/2023 (Morning)
metal used for the shell? (π = ) cm, then the area of that square is:(in cm²)
7 (a) 4.1 cm (b) 0.7 cm
SSC MTS 18/05/2023 (Evening)
SC MTS 11/05/2023 (Morning)
S (c) 2.1 cm (d) 3.5 cm
(a) 1197 cm³ (b) 2197 cm³ (a) 84.64 (b) 338.56 (c) 324.42 (d) 169.28
.466. Nine timestheareaofacircleis
Q
(c) 3024 cm³ (d) 5016 cm³
same as the three times the area of a .475.Aconeandacylinderhavesame
Q
.457. What will be the approximately
Q square.Whatistheratioofthediameter heightandtheradiusoftheconeistwice
volume of sphere with radius 65 cm ? of the circle and diagonal of the square? of theradiusofthecylinder.Whatisthe
SSC MTS 11/05/2023 (Afternoon) SSC MTS 16/05/2023 (Afternoon) ratioofthevolumeoftheconetothatof
(a) 4.5 × 106 cm³ (b) 6 × 106 cm³ (a) 2: 3π (b) 2 : 3π the cylinder?
(c) 1.15 × 10 cm³ (d) 2 × 106 cm³
6
SSC MTS 19/05/2023 (Afternoon)
(c) 2 : 3π (d) 5: 7π
(a) 2 : 5 (b) 4 : 5 (c) 3 : 2 (d) 4 : 3
.458.Thelateralareaisthriceasbigas
Q .467. How many litre of water can a
Q
the base area ofacone.Ifthediameter hemispherical bowl of diameter 21 m .476. The difference between the
Q
of the cone is 1 cm, then what is the total hold? (1m³ - 1000 litre) length and breadth of a rectangle is 40
surface area of the cone ? SSC MTS 16/05/2023 (Afternoon) metres.Ifitsperimeteris96metres,then
SSC MTS 11/05/2023 (Evening) (a) 2100000 litre (b) 2425500 litre what will be the area of rectangle?
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Pinnacle Day:19th - 28th Mensuration
SC MTS 19/05/2023 (Evening)
S .484. The sum of the length and
Q metres is build outside the garden
4
(a) 254 metre² (b) 110 metre² breadth of a cuboid is 16 cm. If the along its four sides. Whatistheareaof
(c) 176 metre² (d) 152 metre²
1 the path ?
heightofthecuboidis ofthesumof
4 SSC CHSL 10/03/2023 (4th Shift)
.477.Afarmer'slandisintheshapeof
Q its length and breadth, then what is the (a) 2826 metre² (b) 2542 metre²
a trapezium which has its parallelsides lateral surface area of the cuboid ? (c) 2916 metre² (d) 2624 metre²
measuring7.58yardsand6.42yardsand SSC MTS 16/06/2023 (Afternoon)
thedistancebetweentheparallelsidesis .492. The sum of the length, breadth,
Q
(a) 128 cm² (b) 196 cm²
6.50 yards. The cost of ploughing the andheightofacuboidboxis20cmand
(c) 96 cm² (d) 156 cm²
land is Rs. 2000 per square yard. What thetotalsurfaceareaofcuboidis256sq
amount have to be spent in order to .485. Thelengthofacuboidis10cm.
Q . cm. What is the maximum length (in
plough the entire land ? If thebreadthofthecuboidishalfofits approximate) of a stick that can be
SSC MTS 13/06/2023 (Morning) length and height of thecuboidistwice placed inside the cuboid box ?
(a) Rs. 85000 (b) Rs. 91000 of its length, then what is the lateral SSC CHSL 13/03/2023 (2nd Shift)
(c) Rs. 72000 (d) Rs. 102000 surface area of the cuboid? (a) 32 cm (b) 24 cm (c) 16 cm (d) 12 cm
SSC MTS 16/06/2023 (Evening)
.478. If the radius of a cylinder is
Q .493. X, Y and Z are three equilateral
Q
(a) 600 cm² (b) 500 cm²
decreased by 12 percent, then by how triangles.ThesumoftheareasofXand
(c) 720 cm² (d) 560 cm²
much percent its height must be Y is equal to the area of Z. If the side
increased so that the volume of the .486. The perimeter of the top of a
Q lengths of X and Y are 6 cm and 8 cm
cylinder remains same ? rectangulartableis56meteranditsarea respectively,thenwhatisthesidelength
SSC MTS 14/06/2023 (Morning) is 192 meter2.. What is the length ofits of Z ?
(a) 29.13 percent (b) 21.78 percent diagonal ? SSC CHSL 13/03/2023 (2nd Shift)
(c) 42.56 percent (d) 34.27 percent SSC MTS 20/06/2023 (Morning) (a) 10.5 cm (b) 10 cm (c) 9.5 cm (d) 9 cm
(a) 22 metre (b) 20 metre
.479. The radius of a right circular
Q .494.AnincirclewithcenterOisdrawn
Q
(c) 16 metre (d) 18 metre
cylinder is 7 cm. Its height is thrice its insideanequilateraltriangleABCandthe
radius. What is the curved surface area .487. If the area of non-spherical
Q lengthofthesideis12cm.Findthearea
of the cylinder ? portionofasolidhemisphereis1560m², (insq.cm)ofthetrianglewhichisnotin
SSC MTS 14/06/2023 (Afternoon) then the total surface area of the the incircle.
(a) 724 cm² (b) 666 cm² hemisphere is: SSC CHSL 13/03/2023 (2nd Shift)
(c) 924 cm² (d) 264 cm² SSC MTS 20/06/2023 (Afternoon) (a) 21.48 (b) 30.64 (c) 37.71 (d) 24.64
(a) 6240 m² (b) 4680 m²
Q.480.Theratioofthesidesofatriangle .495. What is the area of a rhombus
Q
(c) 5140 m² (d) 3120 m²
is3:3:4.Iftheareaoftriangleis32 5 whose diagonals are of 8 cm and 13 cm?
cm²,thenwhatisthelengthoftheequal .488. The sum of the length and
Q SSC CHSL 13/03/2023 (4th Shift)
2 2
sides ? breadth of a cuboid is 40 cm. If the (a) 52𝑐 𝑚 (b) 96𝑐 𝑚
1 2 2
SSC MTS 14/06/2023 (Evening) heightofthecuboidis ofthesumof (c) 44𝑐 𝑚 (d) 84𝑐 𝑚
5
(a) 12 cm (b) 16 cm (c) 10 cm (d) 15 cm
its length and breadth, then what is the .496. If theradiusofasphereisthrice
Q
.481.The length of a cuboid is 4 cm. If
Q lateral surface area of the cuboid? than the radius of a hemisphere, then
thebreadthofthecuboidisfourtimesof SSC MTS 20/06/2023 (Evening) what will be the respectiveratiooftheir
its length and height of the cuboid is (a) 580 cm² (b) 320 cm² volumes ?
twice of its length, then what is the (c) 640 cm² (d) 720 cm² SSC CHSL 14/03/2023 (1st Shift)
lateral surface area of the cuboid? (a) 27 : 1 (b) 16 : 1 (c) 54 : 1 (d) 18 : 1
SSC MTS 15/06/2023 (Afternoon) SSC CHSL 2022 Tier - 1 .497.Theratioofthevolumeofthefirst
Q
(a) 380 cm² (b) 440 cm² and second cylinder is 32 : 9 and the
(c) 260 cm² (d) 320 cm² .489. If the radius of the sphere is
Q
ratiooftheirheightsis8:9.Iftheareaof
decreasedby10percent,then volumeof
.482. One of the diagonals of a
Q the base of the second cylinder is 616
the sphere will be decreased by what
rhombus is 70 percent of the other cm², then what will be the radiusofthe
percentage ?
diagonal.Whatistheratiooftheareaof first cylinder ?
SSC CHSL 10/03/2023 (1st Shift)
rhombus to the square of the length of SSC CHSL 14/03/2023 (2nd Shift)
(a) 32.5 percent (b) 30.6 percent
the larger diagonal? (a) 24 cm (b) 20 cm (c) 28 cm (d) 36 cm
(c) 25.6 percent (d) 27.1 percent
SSC MTS 15/06/2023 (Evening) .498. Half of the perimeter of a
Q
(a) 5 : 17 (b) 7 : 20 (c) 6 : 19 (d) 20 : 7 .490. Three circles of radius 7 cmare
Q
rectangle is 30 cm. If the length of the
placed in such a way that each circle
.483. If the radius of a cylinder is
Q rectangle is 6cmmorethanitsbreadth,
touches the other two. What will bethe
decreased by 16 percent, then by how then what is the area of the rectangle?
area of the portion enclosed by these
much percent its height must be SSC CHSL 14/03/2023 (4th Shift)
three circles ? 2 2
increased, so that the volume of the SSC CHSL 10/03/2023 (3rd Shift) (a) 216𝑐 𝑚 (b) 250𝑐 𝑚
cylinder remains the same ? (a) 49 3– 77𝑐 𝑚
2
(b) 40 3– 66𝑐 𝑚
2
(c) 185𝑐 𝑚
2
(d) 195𝑐 𝑚
2
SSC MTS 15/06/2023 (Evening) 2 2
(c) 50 3– 66𝑐 𝑚 (d) 55 3– 77𝑐 𝑚
(a) 32.96% (b) 41.72% .499. If the square of productofthree
Q
(c) 45.28% (d) 36.43% .491. There is a rectangular gardenof
Q sidesofthetriangleis1024unitsandthe
240metres×80metres.Apathofwidth area of its circumcircle is 16π, what is
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Pinnacle Day:19th - 28th Mensuration
t he area of the given triangle ? (a) 16 : 7 (b) 19 : 5 (c) 17 : 5 (d) 21 : 19 SSC CGL Tier II (03/03/2023)
SSC CHSL 15/03/2023 (1st Shift) 20𝑏
𝑏 1𝑏
2 9𝑏
1
(a) 2 sq . units (b) 3 sq . units .507. In triangle ABC, AB=20 cm, BC=
Q (a) (b) (c) (d)
2 2
2
2
(c) 2.5 sq . units (d) 4 sq . units 16cmandAC=12cmandtheradiusof
circle inscribed in it is 4 cm. Find the area .514. A pyramid has an equilateral
Q
Q.500.Thebreadthofarectangularfloor of triangle ABC. triangleasitsbase,ofwhicheachsideis
3 SSC CHSL 21/03/2023 (1st Shift) 8cm.Itsslantedgeis24cm.Thewhole
is ofitslength.Iftheareaofthefloor
5 2 2 2
(a) 48𝑐 𝑚 (b) 72𝑐 𝑚 urface area of the pyramid (in𝑐 𝑚 ) is:
s
2
is 60𝑚𝑒𝑡𝑟𝑒 ,thenwhatisthedifference (c) 96𝑐 𝑚
2
(d) 120𝑐 𝑚
2
SSC CGL Tier II (06/03/2023)
between the length and breadth of the
(a) (16 3+ 24 35) (b) (12 3+ 24 35)
floor ? .508. A trapezium plate having two
Q
(c) (24 3+ 36 35) (d) (16 3+ 48 35)
SSC CHSL 15/03/2023 (2nd Shift) parallelsidesoflength15cmand9cm.
(a) 6 m (b) 7.5 m (c) 5 m (d) 4 m and distance between them is 6 cm. .515.Thedifferencebetweenthelength
Q
Copperplatingistobedoneontheplate oftwoparallelsidesofatrapeziumis12
.501. A solid cylinder having radius of
Q atarateofRs.3persquarecm.Whatwill cm. The perpendiculardistancebetween
base as 7 cm and height as 5 cm is bethetotalcostofcopperplatingonthe these two parallel sides is 60 cm. Ifthe
bisected from its height to get two upper side of the plate? 2
identical cylinders. What will be the rea of the trapezium is 1380 𝑐 𝑚 ,then
a
SSC CHSL 21/03/2023 (1st Shift)
percentage increase in the totalsurface find the length of each of the parallel
(a) Rs.432 (b) Rs.216 (c) Rs.72 (d) Rs.108
area? sides (in cm).
SSC CHSL 16/03/2023 (2nd Shift) .509.∆ABC is similar to∆PQR , AB = 4
Q SSC CGL Tier II (06/03/2023)
(a) 58.33 percent (b) 64.56 percent cm,BC=8cmandAC=10cm.IfQR= (a) 27, 15 (b) 31, 19 (c) 29, 17 (d) 24, 12
(c) 69.44 percent (d) 52.56 percent 16 cm, then what is the area of∆PQR?
SSC CHSL 21/03/2023 (2nd Shift) SSC CGL 2022 Tier - 1
.502. IfintriangleABC,MNisparallel
Q 2 2
(a) 2 231cm (b) 4 231cm
toBC,andMandNarepointsonABand .516. How many spherical lead shots
Q
ACrespectively.Theareaofquadrilateral (c) 4 462cm2 (d) 8 462cm2
eachofdiameter8.4cmcanbeobtained
MBCN = 130 cm². If AN: NC=4:5,then from a rectangular solid of lead with
the area of Triangle MAN is: SSC CGL 2022 Tier - 2
dimension 88 cm, 63 cm, 42 cm.
SSC CHSL 17/03/2023 (1st Shift) 22
(a) 40 cm² (b) 65 cm² .510.Whatisthevolumeofthelargest
Q (takeπ = ) ?
7
(c) 32 cm² (d) 45 cm² sphere that can be carved out of a
SC CGL 01/12/2022 (1st Shift)
S
22
wooden cube of sides 21 cm? (π = ) (a) 920 (b) 750 (c) 650 (d) 860
.503. The circumference of the two
Q 7
circlesis264mand308mrespectively. SSC CGL Tier II (02/03/2023) .517. A solid metallic sphereofradius
Q
What is the differencebetweenthearea (a) 3851𝑐 𝑚
3
(b) 6858𝑐 𝑚
3
13 cm is melted and recast intoacone
of the larger circle and the smaller circle? 3 3 having diameter of the base as 13 cm.
(c) 4851𝑐 𝑚 (d) 5821𝑐 𝑚
SSC CHSL 17/03/2023 (1st Shift) What is the height (cm) of the cone ?
(a) 2002 m² (b) 2010 m² .511. Arectangularparkis120mlong
Q SSC CGL 01/12/2022 (3rd Shift)
(c) 1890 m² (d) 1990 m² and104mwide.A1-mwidepathruns (a) 246 (b) 152 (c) 174 (d) 208
along the boundary of the park,
.504. If the heights of two cylinders are
Q .518. Which of the following two will
Q
remaining completely inside the park
in the ratio of 2 : 3 and their-radius are in provide more volume ?
area.Thus,theoutsideedgesofthepath
the ratio of 6 : 5, then what is the ratio of I) A cuboid of edges 6 cm,7 cm and 8 cm
run along theboundarywallofthepark.
the volumes of the cylinders ? II) A cube of edge 7 cm
Theinsideedgesofthepatharemarked
SSC CHSL 17/03/2023 (4th Shift) SSC CGL 02/12/2022 (1st Shift)
with a white lineofnegligiblethickness.
(a) 24 : 29 (b) 21 : 31 (a) Cube will have more volume
Ifitcosts₹2.50tomarkeachmetrewith
(c) 24 : 25 (d) 28 : 31 (b) Both will have equal volume
the white line, then how much would it
(c) Cuboid will have more volume
.505. The sum of the length and
Q cost(in₹)tofullymarktheinsideedges
(d) Cannot be determined
breadth of a cuboid is 4 cm. Length is of the path ?
three times of breadth. If the height of SSC CGL Tier II (02/03/2023) .519. A hemispherical bowl made of
Q
thecuboidishalfofthesumofitslength (a) 1090 (b) 1080 (c) 1120 (d) 1100 ironhasaninnerdiameterof84cm.Find
and breadth, then what is the total the cost of tinplatingitontheinsideat
.512.Whatisthetotalsurfaceareaofa
Q
surface area of the cuboid ? 22
pyramid whose base is a square with therateof₹21per100cm²(takeπ =
SSC CHSL 20/03/2023 (2nd Shift) 7
side8cmandheightofthepyramidis3
(a) 64 cm² (b) 22 cm2 ) correct to two places of decimal.
2 cm ?
(c) 32 cm (d) 30 cm2 SSC CGL 02/12/2022 (1st Shift)
SSC CGL Tier II (03/03/2023)
(a) ₹2,328.48 (b) ₹2,425.48
.506.TheareaofasquareIs1156cm2
Q (a) 169𝑐 𝑚
2
(b) 121𝑐 𝑚
2
(c) ₹2,425.60 (d) ₹2,355.48
.Whatistherespectiveratiobetweenthe 2 2
(c) 144𝑐 𝑚 (d) 184𝑐 𝑚
length and the breadth of a rectangle .520. The radius of a right circular
Q
whose length is twice the side of the .513.Thebreadth'b'ofaroomistwice
Q cylinder is five times ofitsheight.Ifthe
squareandwhosebreadthis14cmless its heightandhalfofitslength.Findthe height of the cylinder is 3.5 cm, then
than the side of the square? length of the longest diagonal of the what is the volume of the cylinder?
SSC CHSL 20/03/2023 (4th Shift) room. SSC CGL 02/12/2022 (3rd Shift)
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Pinnacle Day:19th - 28th Mensuration
( a) 3368.75 cm³ ( b) 3872.75 cm³ m. It is melted to formacylindersuch
c ircularconeofbaseradius21cmis594
c
(c) 3146.75 cm³ (d) 3524.25 cm³ thattheratioofitscurvedsuraceareato sq cm. What is the slant height of the
total surface area is 2 : 5. What is the cone ?
.521.Inthegivenfigure,asquareABCD
Q 22 SSC CGL 09/12/2022 (3rd Shift)
isinscribedinaquadrantAPCQ. IfAB= radius (in cm) of its base (take π = ) ?
7 (a) 15 cm (b) 11 cm (c) 9 cm (d) 6 cm
16cm,findtheareaoftheshadedregion SC CGL 06/12/2022 (1st Shift)
S
(take π = 3.14) correct to twoplacesof (a) 23 (b) 21 (c) 17 (d) 19 .537. The number of solid spheres,
Q
decimal. each of diameter 6 cm, that could be
.529.Calculatetheareaofasectorofa
Q mouldedtoformasolidmetalcylinderof
circlewithradius10metresandangleof height 90 cm and diameter 4 cm is:
90 degrees at the centre. SSC CGL 09/12/2022 (4th Shift)
SSC CGL 06/12/2022 (3rd Shift) (a) 10 (b) 14 (c) 16 (d) 13
(a) 79.3 m2 (b) 79.5 m2
SC CGL 02/12/2022 (4th Shift)
S 2
(c) 78.5 m (d) 75 m2 .538. Theradiioftheendsofafrustum
Q
(a) 155.98cm2 (b) 179.68cm2 ofacone7cmhighare5cmand3cm.
2
(c) 163.85cm (d) 145.92cm2 .530. The ratio of the outer and the
Q Find its volume correct to one decimal
inner circumference of acircularpathis 22
place. (Use π = )
Q.522. If the volume of a sphere is 5 :4.Ifthepathis50metreswide,then 7
3
4,416.64 𝑐 𝑚 ,finditssurfacearea(take
2 what is the radius of the inner circle? SC CGL 12/12/2022 (2nd Shift)
S
π=3.14) correct to two places of decimal. SSC CGL 06/12/2022 (3rd Shift) (a) 345.6 cm³ (b) 359.3 cm3
SSC CGL 03/12/2022 (1st Shift) (a) 250 metres (b) 300 metres (c) 379.3 cm³ (d) 369.3 cm³
(a) 3069.55 cm2 (b) 4069.44 cm2 (c) 200 metres (d) 210 metres
.539. Area of the floor of a cubical
Q
(c) 5069.66 cm2 (d) 6069.67 cm2
.531.Thediagonalofthesquareis8 2
Q roomis64m².Thelengthofthelongest
.523. The radius of a right circular
Q cm. Find thediagonalofanothersquare rod that can be kept in the room is:
cylinder is thrice its height.Iftheheight whose area is triple that of the first SSC CGL 12/12/2022 (3rd Shift)
ofthecylinderis2.1cm,thenwhatisthe square. (a) 16 3m (b) 4 3 m
volume of the cylinder ? SSC CGL 06/12/2022 (4th Shift) (c) 12 3m (d) 8 3m
SSC CGL 03/12/2022 (3rd Shift) (a) 8 5cm (b) 8 3cm
(a) 224.65 cm³ (b) 194.72 cm³ .540. A conical vessel, whose internal
Q
(c) 8 2cm (d) 8 6cm
(c) 324.86 cm³ (d) 261.95 cm³ radius is 20 cm and height is 27 cm,is
.532. Steel is used to make a
Q fullofwater.Ifthiswaterispouredintoa
.524.Asolidcoppersphereofradius9
Q hemisphericalbowlthatis0.37cmthick. cylindrical vessel with internalradius15
cmishammeredandmouldedintoawire Thebowl'sinnerradiusis6cm.Findthe cm, what will betheheighttowhichthe
of radius 2 cm. What is the length of this bowl's outercurvedsurfacearea(takeπ water rises in it ?
wire ? 22 SSC CGL 12/12/2022 (4th Shift)
SSC CGL 03/12/2022 (3rd Shift) = ). (a) 16 cm (b) 10 cm
7
(a) 224 cm (b) 183 cm SC CGL 07/12/2022 (1st Shift)
S (c) 12 cm (d) 14 cm
(c) 198 cm (d) 243 cm (a) 532 cm2 (b) 255.0548 cm2
.541.Ifthenumericalvalueoftwicethe
Q
(c) 484 cm2 (d) 523.4107 cm2
Q.525.Thelengthofthesideofacubeis curved surface area of a right circular
.6 𝑐 𝑚 . What is the volume of the
5 .533. An iron rod with diameter 4 cm
Q cylinder is equal to the numerical value
largest sphere that can be taken out of andlength12cmisdrawnintoawireof ofitsvolume,thenwhatisthenumerical
the cube ? length 12 m of uniform thickness. value of the radius of the base of the
SSC CGL 05/12/2022 (1st Shift) Determine the thickness of the wire. cylinder ?
3 3
SSC CGL 08/12/2022 (2nd Shift) SSC CGL 13/12/2022 (1st Shift)
(a) 91.98𝑐 𝑚 (b) 99.96𝑐 𝑚
3 3 (a) 0.6 cm (b) 0.7 cm (a) 2 (b) 3 (c) 5 (d) 4
(c) 96.98𝑐 𝑚 (d) 90.69𝑐 𝑚
(c) 0.3 cm (d) 0.4 cm
.526. A hollow sphere has an outer
Q SSC CPO 2022 Tier - 1
.534.Asolidconeofheight42cmwith
Q
radiusof4cmandinnerradiusof1cm.
diameter of its base 42 cm is cut out .542. A field is in the shape of a
Q
What is the volume of this hollow
fromawoodensolidsphereofradius24 rectangleoflength90mandbreadth75
sphere?
cm.Findthepercentageofwoodwasted m.Inonecornerofthefield,apit,which
SSC CGL 05/12/2022 (3rd Shift)
correct to two places of decimal. is 18mlong,15mbroadand6mdeep,
(a) 84π cm3 (b) 68π cm3
3
SSC CGL 09/12/2022 (1st Shift) hasbeendugout.TheEarth takenoutof
(c) 48π cm (d) 92π cm3
(a) 75.56% (b) 56.65% it is evenly spread over the remaining
.527. Threecubesofequalvolumeare
Q (c) 66.50% (d) 67.50% partofthefield.Findtheriseinthelevel
joined end to end.Findthesurfacearea of the field ?
.535.Thelengthofthesideofacubeis
Q
of theresultingcuboidifthediagonalof SSC CPO 09/11/2022 (Morning)
2.8 cm. Whatisthevolumeofthelargest
t he cube is6 3𝑐 𝑚. (a) 27 cm (b) 25 cm (c) 28 cm (d) 24 cm
sphere that can be taken out of the cube ?
SSC CGL 05/12/2022 (4th Shift) SSC CGL 09/12/2022 (2nd Shift) .543. In the given figure, the length of
Q
(a) 509 cm2 (b) 504 cm2 (a) 11.50 cm3 (b) 1.15 cm3
2 arc AB is equal to twice the length of
(c) 516 cm (d) 512 cm2 3
(c) 11.55 cm (d) 115 cm3 radius r of the circle. Find the area of
Q.528.A solid hemisphere has radius 21 Q.536.The curved surface area of a right sector OAB in terms of the radius r.
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Pinnacle Day:19th - 28th Mensuration
.550. Whatisthelengthofthelongest
Q epainted.(neglecttheareaofwindows
b
pole that can fit itself in a hall 60 feet and doors) & (floor area is NOT to be
long, 30 feet broad and 20 feet high? painted)
SSC CPO 10/11/2022 (Morning) SSC CPO 11/11/2022 (Morning)
(a) 50 ft. (b) 70 ft. (c) 30 ft. (d) 20 ft. (a) 300 m² (b) 280 m²
(c) 330 m² (d) 230 m²
SC CPO 09/11/2022 (Morning)
S .551.Thevolumeofawall,sixtimesas
Q
(a) 3r (b) 2r (c) πr2 (d) r2 hight as its breadth and half aslongas .559. A hemispherical bowl ofinternal
Q
its height, is 23958 cm³. What is the radius6cmcontainsaliquid.Thisliquid
.544. Determine the total surfacearea
Q
breadth of the wall ? is to be filled into cylindrical shaped
of a hemisphere closed at bottom.
SSC CPO 10/11/2022 (Morning) small bottles of diameter 2 cm and
25 (a) 21 cm (b) 15 cm (c) 11 cm (d) 18 cm height 4 cm. How many bottles will be
Radius of the hemisphere is unit.
π needed to empty the bowl?
SC CPO 09/11/2022 (Morning)
S .552. The curved surface area and
Q SSC CPO 11/11/2022 (Afternoon)
(a) 75 unit2 (b) 70 unit2 circumferenceatthebaseofasolidright (a) 32 (b) 37 (c) 38 (d) 36
2
(c) 60 unit (d) 50 unit2 circular cylinder are 2200 cm² and 110
cm, respectively. Find the height of the .560.Thedifferencebetweenthesemi-
Q
.545. Find the perimeter of major
Q cylinder. perimeter and thesidesof∆PQRare18
sector of a circle of radius 12 metres, SSC CPO 10/11/2022 (Morning) cm, 17cmand25cm,respectively.Find
whose minor sector subtends an angle (a) 24 cm (b) 22 cm (c) 20 cm (d) 18 cm the area of the triangle
of 75° at the centre. SSC CPO 11/11/2022 (Evening)
SSC CPO 09/11/2022 (Morning) .553. The lengthofacoldstorageis5
Q (a) 330√510 cm² (b) 230√510 cm²
(a) 24 + 5π metres (b) 24 + 19π metres times its breadth, and its height is8m. (c) 30√510 cm² (d) 130√510 cm²
(c) 24 – 5π metres (d) 24 – 19π metres The area of its four walls (includingthe
doors) is 720 m2 . Find the totalsurface
.546.Afrustumofarightcircularcone,
Q
SSC CGL 2021 Tier - 2
area of cold storage.
whoseheightis18cm,largebaseradius SSC CPO 10/11/2022 (Afternoon)
.561. The sum of the curved surface
Q
is25cm,andsmallbaseradiusis20cm, (a) 1290.6 m2 (b) 1275.3 m2
areaandthetotalsurfaceareaofasolid
is melted to form a small sphere of (c) 1265.25 m 2
(d) 1282.5 m2 2
diameter 2 cm. How many spheres will ylinder is 2068 𝑐 𝑚 . If theradiusofits
c
be formed ? .554. A cylinder of height 8 cm and
Q baseis7cm,thenwhatisthevolumeof
SSC CPO 09/11/2022 (Afternoon) radius6cmismeltedandconvertedinto 22
this cylinder ? (useπ = )
(a) 6287 (b) 6862 (c) 4575 (d) 5857 3 cones of the same radius and height 7
that of cylinder. Determine the total SSC CGL Tier II (08/08/2022)
.547. The radius of a hollowsphereis
Q curved surface area of cones. (a) 2060𝑐 𝑚
3
(b) 2480𝑐 𝑚
3
21cm.Itiscutintotwoequalhalvesbya SSC CPO 10/11/2022 (Evening) 3 3
(c) 3080𝑐 𝑚 (d) 2760𝑐 𝑚
planepassingthroughitscentre.Whatis (a) 180π𝑐 𝑚
2
(b) 60π𝑐 𝑚
2
75% of the curved surface area(incm², 2 2 Q.562. The slant height of a coneis20
(c) 144π𝑐 𝑚 (d) 120π𝑐 𝑚
rounded off to the nearest tens) of the 2
m. If area of its base is 616 𝑐 𝑚 ,then
c
22 .555.The heights of two right circular
Q
emisphere ? (Takе π =
h ) what is the curved surface area of this
7 cones are in the ratio 1 : 5 and the
cone ?
SC CPO 09/11/2022 (Evening)
S perimeteroftheirbasesareintheratio5:
SSC CGL Tier II (08/08/2022)
(a) 4160 (b) 3470 (c) 2080 (d) 2770 3. Find the ratio of their volumes. 2 2
SSC CPO 10/11/2022 (Evening) (a) 960𝑐 𝑚 (b) 440𝑐 𝑚
.548. The total surface area of a solid
Q 2 2
(a) 8 : 11 (b) 7 : 6 (c) 5 : 9 (d) 3 : 4 (c) 1760𝑐 𝑚 (d) 880𝑐 𝑚
metallic hemisphere is 462 cm2 . This is
melted and moulded into a right circular Q.556.The area of the sector of a circle is .563. The height of a cylinder is 6cm
Q
cone.Iftheradiusofthebaseofthecone 2 more than the radius of its base. If its
28 𝑐 𝑚 . If the length of thearcofthat
1
is the same as that of the hemisphere, radius is 14 cm, then what will be volume
sector is 64 cm, then find the radius of
22 22
then its height is: (use π = ) the circle. of this cylinder ? (useπ = )
7 7
SSC CPO 10/11/2022 (Evening)
SC CPO 09/11/2022 (Evening)
S SSC CGL Tier II (08/08/2022)
(a) 4 cm (b) 8 cm (c) 2 cm (d) 16 cm
(a) 14 cm (b) 7 cm (c) 21 cm (d) 28 cm (a) 13560𝑐 𝑚
3
(b) 14340𝑐 𝑚
3
.557. A cone-shaped storage tank's
Q 3 3
.549. As shown in the given figure,
Q (c) 10440𝑐 𝑚 (d) 12320𝑐 𝑚
height and radius are 9 and 7 feet,
inside the large semicircle, three
respectively. Determinehowmuchliquid .564. ABCD is a quadrilateral. The
Q
semicircles (with equal radii) are drawn
the tank can contain. (Take π = 3.14) lengthofdiagonalACis24cm.Thesum
sothattheirdiametersallsitonthelarge
SSC CPO 11/11/2022 (Morning) of perpendiculars drawn from vertex B
semicircle's diameter. What is the ratio
(a) 471 cubic feet andDonthediagonalACis10cm.What
between the unshaded and shaded
(b) 450 cubic feet is the area of the quadrilateral ?
areas?
(c) 435.32 cubic feet SSC CGL Tier II (08/08/2022)
(d) 461.58 cubic feet 2 2
(a) 240𝑐 𝑚 (b) 180𝑐 𝑚
2 2
.558. A hall of 10mlength,5mwidth
Q (c) 120𝑐 𝑚 (d) 90𝑐 𝑚
SC CPO 09/11/2022 (Evening)
S and6mheightistobepainted(oneside
(a) 4 : 3 (b) 1 : 2 (c) 2 : 1 (d) 3 : 4 only).Determinethetotalsurfaceareato Q.565.The difference between the areas
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Pinnacle Day:19th - 28th Mensuration
f two concentric circles is 264 𝑐 𝑚 .
o
2 .572.Iftheheightandtheradiusofthe
Q SSC MTS 07/07/2022 (Evening)
What is the difference between the base of a cone are both doubled, the 2 2
(a) 1800 3𝑐𝑚 (b) 900 3𝑐𝑚
2
2 volumeoftheconebecomes______ofits 2 2
square of their radius ? (useπ = ) previous volume. (c) 450 3𝑐𝑚 (d) 1200 3 𝑐𝑚
7
SSC CGL Tier II (08/08/2022) SSC MTS 05/07/2022 (Morning)
Q.580. The volume of a cuboid is 3300
2 2 (a) 4 times (b) 3 times
(a) 70𝑐 𝑚 (b) 140𝑐 𝑚 3
(c) 6 times (d) 8 times 𝑐𝑚 . The sum of the length and the
2 2
(c) 84𝑐 𝑚 (d) 64𝑐 𝑚 readth of the cuboid is 37 cm. If the
b
.573. Asmallercircletouchesabigger
Q difference between the length and the
.566.Volumeofaconewhoseradiusof
Q circle internallyandalsopassesthrough breadthofthecuboidis13cm,thenwhat
a base and height are r and h the centre ‘O’ of the bigger circle. Ifthe
3
is the height of the cuboid?
r espectively,is400𝑐 𝑚 .Whatwillbethe 2
SSC MTS 08/07/2022 (Morning)
areaofthesmallercircleis192𝑐𝑚 ,the
volume of a cone whoseradiusofbase 2 (a) 18 cm (b) 11 cm (c) 14 cm (d) 16 cm
and height are 2r cm and h cm rea of the bigger circle (in𝑐𝑚 ) is :
a
respectively ? SSC MTS 05/07/2022 (Evening) .581. The length and the breadth of a
Q
SSC CGL Tier II (08/08/2022) (a) 768 (b) 384 (c) 1024 (d) 720 rectangularcardboardare40cmand35
(a) 100 𝑐 𝑚
3
(b) 1600𝑐 𝑚
3 cm, respectively. If the biggest possible
.574. The perimeter of a square is
Q
3 3 square is cut out from this cardboard,
(c) 1200𝑐 𝑚 (d) 800𝑐 𝑚 equaltotheperimeterofarectangle,and
whatistheareaoftheremainingpartof
thelatterhasawidthof12cm.Thearea
the cardboard ?
SSC Selection Post (Phase - X) 2
fthesquareis400𝑐 𝑚 .Findtheareaof
o SSC MTS 08/07/2022 (Afternoon)
the rectangle. 2 2
.567.Aconicalvesselhasradius4cm
Q (a) 175𝑐𝑚 (b) 275𝑐𝑚
SSC MTS 06/07/2022 (Morning)
2 2
and its curved surface area is 20πcm2. 2 2 (c) 425𝑐𝑚 (d) 325𝑐𝑚
(a) 412𝑐𝑚 (b) 394𝑐𝑚
The volume of conical vessel is:
2 2
Graduate Level 02/08/2022 ( Shift - 3 ) (c) 324𝑐𝑚 (d) 336𝑐𝑚 .582.Thediagonalofarectangleis12
Q
(a) 18πcm3 (b) 12πcm3 cmlonganditistwiceaslongasoneof
3
(c) 26πcm (d) 16πcm3 .575. If the total surface area of a
Q the sides of the rectangle. Find area of
sphereofradiusrcmisequaltothetotal the rectangle ?
.568.A student wants to know the area
Q surface area of a cube of side s cm, SSC MTS 08/07/2022 (Evening)
ofarhombus,oneofwhosediagonalsis which of the following is true ? 2 2
(a) 25 3𝑐𝑚 (b) 30 3𝑐𝑚
6 cm. Hemeasuresanotherdiagonalas SSC MTS 06/07/2022 (Morning)
2 2
8 cm. What is the area of the rhombus? (a) r > s (b) r≥ s (c) r = s (d) r < s (c) 36 3 𝑐𝑚 (d) 42 3 𝑐𝑚
Graduate Level 05/08/2022 ( Shift - 3)
2 2 .576. The volume of a wall whose
Q .583.Asolidspherewhoseradiusis21
Q
(a) 25𝑐 𝑚 (b) 20𝑐 𝑚 cm is melted and recast into a regular
heightissixtimesitsbreadthandlength
2 2
(c) 24𝑐 𝑚 (d) 48𝑐 𝑚 3 pyramid of square base. Iftheheightof
is half its height, is 23958 𝑐𝑚 .Whatis
the pyramid is 66 cm, then what is the
.569. Thevolumesoftwocubesarein
Q the breadth of the wall ?
length of each side of the base of the
the ratio of 8 : 27. If the volume of the SSC MTS 06/07/2022 (Afternoon)
22
3 (a) 21 cm (b) 15 cm (c) 11 cm (d) 18 cm pyramid ? [useπ = ].
larger cube is513 𝑐 𝑚 morethanthatof 7
thesmallercube,findthelengthofeach 3 SC MTS 08/07/2022 (Evening)
S
.577. A goldsmith uses 110 𝑐𝑚 of
Q
side of the smaller cube. (a) 68 cm (b) 85 cm (c) 42 cm (d) 48 cm
gold to make a wire 1 mm in diameter.
Higher Secondary 01/08/2022 ( Shift - 3 )
Hewillusethiswiretomakegoldchains Q.584.thetotalsurfaceareaofaclosed
(a) 27 cm (b) 7 cm (c) 6 cm (d) 16 cm
of equal lengths. If each chain requires 2
ube is128 𝑐𝑚 morethantheareaofa
c
.570. A chord of a circleofradius21
Q 56 cm length of wire, then how many
22 square. If the length ofeachsideofthe
cm makes a right angle at the center. gold chains can he make? [useπ = ]
7 cube is 8 cm,thenwhatisthelengthof
Findtheareaofmajorsegment.(takeπ=
SC MTS 07/07/2022 (Morning)
S each side of the square?
22
) closest to nearest integer. (a) 320 (b) 250 (c) 160 (d) 210 SSC MTS 11/07/2022 (Morning)
7
(a) 16 cm (b) 12 cm (c) 18 cm (d) 9 cm
Higher Secondary 03/08/2022 ( Shift - 4 ) .578. The measures of the outer
Q
2 2
(a) 1360𝑐 𝑚 (b) 1436𝑐 𝑚 dimensions of a closed metal box are .585. In a camp, therearetentsofthe
Q
(c) 1260𝑐 𝑚
2
(d) 1160𝑐 𝑚
2
given as 15 cm × 18 cm × 8 cm. The same shape and size. Each tent is
thickness of the metal is 1.5 cm. What cylindrical up to a height of 4 m and
will be the volumeofthemetalrequired conical above it. The diameters of the
SSC MTS 2021 Tier - 1
to make the box ? bases of the cylinder and the cone are
.571. A goatistiedwitha10.5m-long
Q SSC MTS 07/07/2022 (Evening) both 10.5 m and the slant heightofthe
rope to one corner of a plot whichisin 3 3 conicalpartis10m.Ifatotalof3861m2
(a) 1680𝑐𝑚 (b) 950𝑐𝑚
the shape of an equilateral triangle each canvas is used in making all the tents,
3 3
(c) 1440𝑐𝑚 (d) 1260𝑐𝑚 then how many tents are there in the
sideofwhichis16mlong.Findthearea
22
that the goat can graze on. .579. The length of a side of an
Q camp ? [useπ = ]
7
SSC MTS 05/07/2022 (Morning) equilateral triangle is 120 cm less than
SC MTS 11/07/2022 (Evening)
S
(a) 62.25m2 (b) 53.5m2 its perimeter. What is the area of the
(a) 11 (b) 7 (c) 19 (d) 13
(c) 57.75m2 (d) 51.75m2 equilateral triangle?
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Pinnacle Day:19th - 28th Mensuration
Q.586.ArectangularLCDhasanareaof SC MTS 18/07/2022 (Afternoon)
S SSC MTS 21/07/2022 (Evening)
2 (a) 225 (b) 250 (c) 275 (d) 300 2 2
80 𝑐𝑚 andaperimeterof92cm.Ifthe
4 (a) 77𝑐𝑚 (b) 154𝑐𝑚
size of the LCD is defined in term of .594. The circumference of a circle is
Q 2 2
(c) 110𝑐𝑚 (d) 115.5𝑐𝑚
length of the diagonal, then what is the equal to the perimeter of an equilateral
size of the LCD? triangle. If the radius of the circle is 84 .601. The ratio of the length to the
Q
SSC MTS 12/07/2022 (Evening) cm, thenwhatwillbethelengthofeach width of a rectangle is 3:2.Ifthelength
(a) 34 cm (b) 39 cm (c) 31 cm (d) 35 cm side of the equilateral triangle ? ofthisrectangleisincreasedby25%and
22 its width is kept constant,thenthearea
.587.Ifthecircumferenceofacircleis
Q [useπ = ]
7 2
equal to the perimeter of a square and f the rectangle increases by 24 𝑚 .
o
SC MTS 19/07/2022 (Afternoon)
S
the radius of the givencircleispositive, What is the width of this rectangle?
(a) 192 cm (b) 176 cm
then which of the following options is SSC MTS 22/07/2022 (Morning)
(c) 172 cm (d) 184 cm
correct ? (a) 12 m (b) 10 m (c) 8 m (d) 15 m
SSC MTS 12/07/2022 (Evening) .595. The height of a cylinder is 3cm
Q
.602. If the ratio of an external angle
Q
(a) Area of the circle > Area of the square more than the radius of its base. If the
andaninternalangleofaregularpolygon
(b) Area of the circle≥ Area of the heightis10cm,thenwhatisthevolume
22
is1:5,thenwhatisthenumberofsides
square of this cylinder ? [useπ = ]
7 in the polygon ?
(c) Area of the circle < Area of the square
SSC MTS 20/07/2022 (Morning) SSC MTS 22/07/2022 (Afternoon)
(d) Area of the circle = Area of the square
3 3 (a) 24 (b) 22 (c) 12 (d) 30
(a) 1540𝑐𝑚 (b) 1860𝑐𝑚
.588. If the length of one side of a
Q 3 3 2
rectangle is twice thatoftheotherside, (c) 2160𝑐𝑚 (d) 1240𝑐𝑚 Q.603.The area of a square is 1296 𝑐𝑚
and its perimeter is54cm,thenwhatis .596. What is the radius of a circular
Q
7
and the radius of a circle is of the
the length of the longer side of this 6
field whose area is equal to thesumof
rectangle ? length of a side of the square. What is
theareaofthreesmallercircularfieldsof
SSC MTS 13/07/2022 (Evening) the ratio of the perimeter of the square
radii 8 m, 9 m and 12 m respectively?
(a) 14 cm (b) 9 cm (c) 27 cm (d) 18 cm and the circumference of the circle ?
SSC MTS 20/07/2022 (Morning)
22
(a) 20 m (b) 21 m (c) 29 m (d) 17 m (useπ = )
.589. A person uses a rectangular
Q 7
metallic sheet of 45 m × 30 m for .597.Atoyisformedbyplacingasolid
Q SC MTS 25/07/2022 (Morning)
S
making an open box. From each corner circular cone onasolidhemisphereand (a) 13:11 (b) 8:11 (c) 6:11 (d) 3:7
of the sheet he cut offsasquare.Ifthe the radius of the common base of the
lengthofonesideofeachofthesquares coneandthehemisphereis15cm,Ifthe .604. Thelength,thebreadths,andthe
Q
is 10m,thenwhatwillbethevolumeof 3 volumesoftwocuboidsareintheratios
v olume of the toy is 2850π𝑐 𝑚 , then find
the box (in m3) ? of4:5,3:4and2:3respectively.What
the total surface area of that toy.
SSC MTS 13/07/2022 (Evening) is the ratio of their heights ?
SSC MTS 20/07/2022 (Morning)
(a) 5000 (b) 4500 (c) 7000 (d) 2500 SSC MTS 25/07/2022 (Afternoon)
2 2
(a) 815π 𝑐 𝑚 (b) 755π 𝑐 𝑚 (a) 3 : 5 (b) 10 : 9 (c) 8 : 15 (d) 2 : 3
2 2
.590. The length of the longest
Q (c) 705π 𝑐 𝑚 (d) 685π 𝑐 𝑚
diagonal that can be placed inaclosed
4
.598. A large solid cubeismeltedand
Q Q.605. The breadth of arectangleis
5
ube is 50 3 cm. What is the total
c castinto‘N’smallsolidspheres,eachof oftheradiusofacircle.Theradiusofthe
surface area of this cube ? radius 3 cm , and ‘N+2’ small solid
1
SSC MTS 14/07/2022 (Evening) circle is of the side of a square,
cuboids, Each of dimensions 4 cm × 5
(a) 15000cm2 (b) 10000cm2 4cm × 6.5cm.Ifthelengthofeachside 2
hose area is 625 cm . What is the
w
(c) 12000cm2 (d) 6000cm2 ofthelargesolidcubeis12cm,thenfind area of the rectangle if the length of
22 rectangle is 20 cm ?
.591.Thelargerdiagonalofarhombus
Q the value of ‘N’ [useπ = ]
7
is 150% of its smaller diagonal, and its SSC MTS 25/07/2022 (Afternoon)
SC MTS 20/07/2022 (Afternoon)
S 2 2
areais432cm2.Findthelength(incm) (a) 150𝑐𝑚 (b) 60𝑐𝑚
(a) 8 (b) 5 (c) 7 (d) 6
of the side of the rhombus ? 2 2
(c) 100𝑐𝑚 (d) 80𝑐𝑚
SSC MTS 14/07/2022 (Evening) .599. The height of a trapezium is 68
Q
(a) 8 13 (b) 4 13 (c) 6 13 (d) 2 13 cmandthesumofitsparallelsidesis75
7
Q.606. The diameter of a circle is
6 4
.592. The length of each side of a
Q cm. If the area of the trapezium is t imes of the base of a triangle, andthe
17
rhombusis10cm.Ifthelengthofoneof t imes of the area of a square, then the heightofthetriangleis14cm.Ifthearea
its diagonals is 16 cm,then what is the length of the diagonal of the square is: 2
f the triangle is 56𝑐𝑚 , then what is the
o
area of the rhombus?
( take 2= 1.41) circumference(inm)ofthecircle-(useπ
SSC MTS 15/07/2022 (Evening)
SSC MTS 21/07/2022 (Morning) 22
(a) 108cm2 (b) 112cm2 (a) 127.39 cm (b) 183.49 cm
=
7
)
(c) 128cm2 (d) 96cm2 (c) 119.85 cm (d) 102.39 cm SC MTS 26/07/2022 (Morning)
S
Q.593. Two cubes, each having a total (a) 0.44 m (b) 2.46 m
.600. Find the total surface area of a
Q
2 (c) 0.48 m (d) 1.74 m
urface area of 150𝑐 𝑚 , are joined
s closed hemisphere whose diameteris7
together toformacuboid.Findthetotal 22 .607. A square of side 𝑝 is taken. A
Q
cm. [Useπ = ]
surface area of the resulting cuboid. 7 rectangle is cut out from this square
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Pinnacle Day:19th - 28th Mensuration
uch that the length of one side of the
s 4 cm. Find the ratio of volume of the
1 readth is 5 m and height is 4 m, then
b
rectangleisequaltohalfofthelengthof balloon's in both circumstances. find the length of diagonal of the cuboid.
onesideofthesquareandthelengthof SSC CHSL 27/05/2022 (Morning) SSC CHSL 01/06/2022(Evening)
another side oftherectangleisequalto (a) 2 : 5 (b) 1 : 9 (c) 1 : 8 (d) 3 : 7 (a) 12 m(b) 21 m (c) 18 m (d) 24 m
1
of the length of the first side of the .615. A solid right-circular cylinder,
Q .623. The radius of a hemispherical
Q
3
r ectangle.Whatistheareaoftheportion whose radius of the base is 15 cmand bowl is given as 7 cm. What is the
of the square that remained after the height is 12 cm, ismeltedandmoulded 3 22
capacity(𝑐 𝑚 ). of the bowl ? [π = ]
rectangle is cut out? intothesolidright-circularcone,whose 7
SSC MTS 26/07/2022 (Afternoon) radiusofthebaseis24cm.Whatwillbe SSC CHSL 02/06/2022(Afternoon)
2
7 2
3 1 2
1 5 2
1 the height of this cone?
2 1 1 2
(a) 𝑝 (b) 4 𝑝
(c) 12 𝑝 (d) 16 𝑝 (a) 718 (b) 812 (c) 618 (d) 518
8 SSC CHSL 27/05/2022 (Evening) 3 3 3 3
(a) 14.0625 cm (b) 14.0675 cm
.608. The length of arope,bywhicha
Q .624. The length of each side of a
Q
(c) 14.6025 cm (d) 14.0525 cm
calfistied,isdecreasedfrom9mto5m regular hexagon is 10 cm. What is the
2
. Find the decrease in the areathatcan .616. A solid toyisintheshapewhich
Q rea(𝑐 𝑚 ).of the hexagon ?
a
22 isacombinationofacylinder,coneanda SSC CHSL 02/06/2022(Evening)
be grazed by the calf.[useπ = ] hemispherical bowl. The cylinder
7 (a)156 3 (b)144 3(c) 148 3(d) 150 3
SSC MTS 26/07/2022 (Evening) contributesto50%ofthetotalvolumeof
2 2 the toy, the cone contributes to 20% of .625. The area of a square is 9𝑚
Q +
2
(a) 112𝑚 (b) 154𝑚
2 2 the volume. Find the ratio of the 12m+4.Findthemeasureofthesideof
(c) 122𝑚 (d) 176𝑚 contribution (in terms of volume) ofthe the square.
cone, cylinder and hemisphere. SSC CHSL 02/06/2022(Evening)
SSC CHSL 2021 Tier - 1 SSC CHSL 30/05/2022 (Afternoon) (a) 3m + 2 (b) 3m + 4
(a) 2 : 3 : 5 (b) 5 : 2 : 3 2 2
Q.609. A pillar 11 m in radius is 21 m (c) 3𝑚 + 2 (d) 3𝑚 + 2m
(c) 2 : 5 : 3 (d) 4 : 5 : 3
3
high. How much material(in 𝑚 ) was Q.626. The area of a square is
22
.617. What is the volume (cm3 )of a
Q 2
sed to construct it? (Use π =
u ) right circular cylinder whose curved 𝑥 − 12𝑥 + 9 , which of the following
4
7
surface area is 12π cm2 and the will be the side of the square?
SC CHSL 24/05/2022 (Morning)
S
circumference of its base is 4π cm ? SSC CHSL 03/06/2022 (Afternoon)
(a) 7996 (b) 7886 (c) 7989 (d) 7986
SSC CHSL 30/05/2022 (Evening) (a) (2x + 3) (b) (2x - 3)
.610. A sphere passes through the
Q (a) 48π (b) 36π (c) 12π (d) 24π (c) (3x - 2) (d) (3x + 2)
eight corners of a cube of side 14 cm.
.618. The sum of the length, breadth
Q Q.627. If the areas of three adjacent
3
Find the volume (in𝑐 𝑚 ) of the sphere. facesofacuboidalboxare729𝑐 𝑚 ,529
2
and depth of a cuboid is23cm,andits
22 2 2
(π = ) iagonalis 5 7cm.Itstotalsurfacearea
d 𝑐 𝑚 and289 𝑐 𝑚 ,respectively,thenfind
7
(cm2 ) is: the volume of the box.
SSC CHSL 25/05/2022 (Morning)
SSC CHSL 03/06/2022 (Evening)
(a) 4312 3 (b) 4012 3 SSC CHSL 31/05/2022 (Morning) 3 3
(a) 144 (b) 354 (c) 188 (d) 111 (a) 10557𝑐 𝑚 (b) 10560𝑐 𝑚
(c) 4312 2 (d) 4012 2 3 3
(c) 10555𝑐 𝑚 (d) 10551𝑐 𝑚
.619. A cone-shaped temple top has
Q
.611.Arectangularwatertankis1.5m
Q
slantheightof10mandradiusofbaseis .628.Thediameterofthebaseandthe
Q
high, 3 m long and 3.5 m wide. How
11 m. Find the total cost for painting its slant height of a right circular cone are
much water (in litres) can it hold?
urved surface area at the rate of ₹7/𝑚 .
c
2 10 cm and 16cm, respectively. Find its
SSC CHSL 25/05/2022 (Evening)
2 22
(a) 13520 (b) 14510 (c) 15750 (d) 11780 SSC CHSL 31/05/2022 (Afternoon) total surface area(𝑐 𝑚 ). [Use π = ]
7
(a) ₹2440 (b) ₹2040
.612.What is the volume of the largest
Q SSC CHSL 06/06/2022 (Morning)
(c) ₹2420 (d) ₹2240
5720 20
7 1760
right circular cone that can be cut out 2 (a) (b) (c) 330 (d)
.620. The area of a triangle is 96𝑐 𝑚
Q 7
7 7
from a cube whose edge is 10 cm ?
SSC CHSL 26/05/2022 (Morning) and the length of one of its sides is24 Q.629. The diagonal of a rhombus is 8
250π 51π
3 45π
1 50π
1 cm. What is the length of the 2
(a) ( b) (c) (d) manditsareais48𝑐 𝑚 ,thenthelength
c
3
3
3
3 perpendicular drawn to this side of the
of each side of the rhombus is:
triangle from the opposite vertex?
.613. 15 identical solid spherical balls
Q SSC CHSL 06/06/2022 (Afternoon)
SSC CHSL 01/06/2022 (Morning)
of radius 5 cm are melted to form a (a) 13 (b) 2 13 (c) 6 13 (d) 5 13
(a) 16 cm (b) 8 cm (c) 4 cm (d) 12 cm
singlesphere.Inthisprocess,35%ofthe
mass is wasted. What is the radius (in 3 .630. The total surface area ofasolid
Q
.621. Find the volume(in 𝑐 𝑚 ) of the
Q
cm) of the single sphere that is now cylinderwhoseradiusisrcmandheight
cuboid,ifitslengthistwicemorethanits
formed? [Use π = 22/7, and give your 𝑟 2
breadthanditsbreadthis8cm,whichis is cm (in𝑐 𝑚 ) is :
2
answer correct to two decimal places.] twice its height. SSC CHSL 07/06/2022 (Morning)
SSC CHSL 26/05/2022 (Evening) SSC CHSL 01/06/2022 (Afternoon) 2 3
(a) 12.68 (b) 16.68 (c) 10.68 (d) 34.68 𝑟 2 2 𝑟
(a) 768 (b) 769 (c) 767 (d) 766 (a)3π (b)4π𝑟 (c)3π𝑟 (d)π
2 2
.614.Asairispumpedintoaspherical
Q Q.622.If the length of a cuboid is 20 m, Q.631.The base of a hemispherical bowl
balloon,itsradiusincreasesfrom7cmto
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Pinnacle Day:19th - 28th Mensuration
has a circumference of 132 cm. Find the nd total surface area is 60 π𝑐 𝑚 ?
a
2 .647. Fromthebodyofasolidcubeof
Q
22 SSC CHSL 10/06/2022 (Evening) edge 7 cm, a solid sphere is removed.
capacity of the bowl [Use π = ]
7
(a) 3 cm (b) 5 cm (c) 7 cm (d) 9 cm The volume of the remaining solid was
SSC CHSL 07/06/2022 ( Afternoon )
1 3
3 3 found to be 163 𝑐 𝑚 . What is the
(a) 18240𝑐 𝑚 (b) 19404𝑐 𝑚 3
SSC CGL 2021 Tier - 1
3 3 diameter (in cm) of the sphere?
(c) 19708𝑐 𝑚 (d) 16540𝑐 𝑚
22
.640. A solid cube of side 8 cm is
Q (Use π = )
.632. Find the volume of the cylinder
Q 7
dropped into a rectangular container of
circumscribing a spherewithadiameter SC CGL 19/04/2022 (Morning)
S
length16cm,breadth8cmandheight15
22 (a) 10 (b) 7 (c) 5 (d) 8
of 14 cm. [Use π = ] cmwhichispartlyfilledwithwater.Ifthe
7 cube is completely submerged,thenthe .648. The length of a wire (in cm) of
Q
SSC CHSL 07/06/2022 (Evening) rise of water level (in cm) is :
3 3
0.1mm radius that can be drawn from
(a) 2156𝑐 𝑚 (b) 2158𝑐 𝑚 SSC CGL 11/04/2022 (Morning) melting a solid copper sphere of a
(c) 2155𝑐 𝑚
3
(d) 2157𝑐 𝑚
3 (a) 2 (b) 6 (c) 5 (d) 4 diameter 6 cm is:
SSC CGL 19/04/2022 (Evening)
Q.633. The surface area of a spherical .641. A solid cube of side 8 cm is
Q
(a) 250000 (b) 360000
2 dropped into a rectangular container of
v olleyball is 100π 𝑐 𝑚 . Find the volume (c) 440000 (d) 810000
length 16cm, breadth 8 cm and height
of air enclosed in the ball.
15cm which is partlyfilledwithwater.If .649. The inner circumference of a
Q
SSC CHSL 08/06/2022 (Morning)
the cube is completelysubmerged,then circular path enclosed between two
400 350
(a) π (b) π the rise of water level (in cm) is : concentric circles is 264m. Theuniform
3 3
SSC CGL 11/04/2022(Morning) width ofthecircularpathis3m.Whatis
500 200
(c) π (d) π (a) 2 (b) 6 (c) 5 (d) 4 the area (in m2 ,to the nearest whole
3 3
22
.634.Findthelengthofdiagonal(m) of
Q Q.642. What is the difference in the number ) of the path ?.(Use π = )
7
3
a cuboid13mlong,7mbroadand3m v olume (in 𝑐 𝑚 ) of a sphere ofradius7 SC CGL 20/04/2022 (Morning)
S
high. cm and that of a coneofaradius7cm (a) 696 (b) 756 (c) 820 (d) 948
SSC CHSL 08/06/2022 (Evening) 22
and height of 10 cm? [Use π = ]
7 .650. The total surface area of aright
Q
(a) 207 (b) 232 (c) 327 (d) 227
SC CGL 12/04/2022 (Morning)
S pyramid,withbaseasasquareofside8
.635.Theradiusofarolleris14cmand
Q (a) 205 (b) 704 (c) 924 (d) 1078 2
m,is208 𝑐 𝑚 .Whatistheslantheight
c
its length 20cm. It takes 235 complete (in cm) of the pyramid?
revolutions to moveonceovertolevela .643. If the length of a diagonal of a
Q
SSC CGL 20/04/2022 (Afternoon)
playground. Find the area of the square is (a + b), then the area of the
(a) 7 (b) 10 (c) 9 (d) 8
22 square is:
playground.(Use π = ) SSC CGL 13/04/2022 (Morning)
7 .651. A 22.5 mhightentistheshape
Q
SC CHSL 09/06/2022 (Afternoon)
S 2 2 2 2
1 of afrustumofaconesurmountedbya
(a)𝑎 +𝑏 (b) (𝑎 +𝑏 ) + ab
2 hemisphere.Ifthediameteroftheupper
(a) 4136 cm2 (b) 4136× 103cm2
2 2 1 2 2 andthelowercircularendofthefrustum
(c) 41360 cm2 (d) 4136× 102cm2 (c)𝑎 +𝑏 + 2ab (d) (𝑎 +𝑏 )
2
are21mand39mrespectively,thenfind
.636.Thelengthofthehypotenuseofa
Q 2 2
Q.644.Let𝑥𝑐 𝑚 be the surface area and t he areas of the cloth (in 𝑚 ) used to
right-angled triangle is 37 cm and the
3
𝑐 𝑚 be the volume of a sphere such
𝑦 make the tent (ignoring the wastage).
lengthofoneofitsothertwosidesis12
22
cm. What is the area of the triangle in thaty=14𝑥.Whatistheradius(incm)of (Use π = )
7
2 the sphere ?
𝑐 𝑚 ? SSC CGL 21/04/2022(Evening)
SSC CGL 13/04/2022 (Evening)
SSC CHSL 09/06/2022 (Evening)
2
2
(a) 102 (b) 42 (c) 51 (d) 68 (a) 787 (b) 2107
(a) 222 (b) 204 (c) 216 (d) 210 7 7
.645. A hemispherical depression of
Q 6 2
Q.637. The area of quadrilateral is 336 (c) 1635 (d) 2800
diameter4cmiscutoutfromeachface 7 7
2
and theperpendicularsdrawntoone
𝑚
of a cubical block of sides 10 cm. Find
diagonal from the opposite vertices are
the surface area of the remaining solid SSC CGL 2020 Tier - 2
16 m and 12 m long. Findthelengthof
2 22
this diagonal. (in𝑐 𝑚 ) (Use π = ) .652. A solid metallic cuboid of
Q
7
SSC CHSL 10/06/2022 ( Morning) SSC CGL 18/04/2022 (Morning) dimensions 12 cm × 54 cm × 72 cm is
(a) 28 cm (b) 26 cm (c) 21 cm (d) 24 cm
4
4 meltedandconvertedinto8cubesofthe
(a) 900 (b) 112 samesize.Whatisthesumofthelateral
.638. How many spherical balls of
Q 7 7
3 1 2
radius 5 cm can be made by melting a (c) 675 (d) 713 urface areas (in𝑐 𝑚 ) of 2 such cubes ?
s
7 7 SSC CGL Tier II (29/01/2022)
spherical clay ball having aradiusof15
cm ? (a) 2592 (b) 2268 (c) 3888 (d) 1944
.646. The area of a cardboard(incm²)
Q
SSC CHSL 10/06/2022 (Afternoon) needed tomakeaclosedboxofsize20 .653. Theradiusofasphericalballoon
Q
(a) 18 (b) 3 (c) 9 (d) 27 cm× 10 cm× 8 cm will be: is inflated from 3.5 cm to 4.9 cm by
.639.Whatistheheightofasolidright
Q SSC CGL 18/04/2022 (Evening) pushing air into it. What is the
circular cylinder whose radius is 3 cm (a) 880 (b) 690 (c) 750 (d) 960 percentage increase in the volume of the
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Pinnacle Day:19th - 28th Mensuration
riginal balloon ?
o 00%andheightisreducedby50%,then
1 lace):
p
SSC CGL Tier II (29/01/2022) its capacity (in litres) will be correct to SSC MTS 06/10/2021 (Evening)
(a) 74.4% (b) 174.4% (c) 73.6% (d) 173.6% 22 (a) 0.9 (b) 1.4 (c) 1.2 (d) 1.1
one decimal place) .(Use π = )
7
.654. The radius of the base of a
Q SC CGL Tier II (03/02/2022)
S .669. Fromeachofthefourcornersof
Q
cylindricaltankis4m.Ifthreetimesthe (a) 27.8 (b) 28.2 (c) 26.7 (d) 25.9 arectangularsheetofdimensions48cm
sumoftheareasofitstwocircularfaces × 27 cm, a square ofside3.5cmiscut
is twice the area of its curved surface, offandaboxismade.Thevolumeofthe
thenthecapacity(inkilolitres)ofthetank
SSC MTS 2020 Tier - 1
box is:
is: SSC MTS 07/10/2021 (Morning)
.662.TheareaofasquareisSandthat
Q
SSC CGL Tier II (29/01/2022) (a) 2880 (b) 2780 (c) 2870 (d) 2860
of the square formed byjoiningthemid
(a) 54π (b) 108π (c) 96π (d) 144π
pointsofthegivensquareisA.Thenthe .670. The internal dimensions of a
Q
.655. The slant height and radius ofa
Q
𝐴 rectangular closed wooden box are 30
value of is equal to:
right circular cone are in the ratio 29 : 20. 𝑆 cm , 18cm and 23cm,. What space (in
3 SC MTS 05/10/2021 (Morning)
S 3
If its volume is 4838.4 π𝑐 𝑚 , then its 𝑐 𝑚 ) will it occupy, if the wood used is
(a) 0.25 (b) 0.5 (c) 0.125 (d) 1.25
radius is: 1cm thick?
SSC CGL Tier II (29/01/2022) .663.Acontainerintheshapeofaright
Q SSC MTS 08/10/2021 (Morning)
(a) 20 cm (b) 28 cm (c) 24 cm (d) 25 cm circular cone, whose radius and depth (a) 12420 (b) 16000 (c) 14136 (d) 9408
are equal, gets completely filled by
.656.The areas of three adjacent faces
Q .671. A solid metallic cylinder with a
Q
128000 spherical droplets, each of
of a cuboidal solid block of wax are 216 baseradiusof3cmandaheightof120
diameter 2mm. What is the radius (in
cm², 96 cm² and 144 cm². It is melted cmismeltedandrecastintoasphereof
cm) of the container?
and8cubesofthesamesizeareformed radiusrcm.Whatisthevalueofrifthere
SSC MTS 05/10/2021 (Morning)
from it. What is the lateral surfacearea is a 10% metal loss in the conversion?
2 (a) 6 (b) 4 (c) 8 (d) 2
( in𝑐 𝑚 ) of 3 such cubes? SSC MTS 08/10/2021 (Afternoon)
SSC CGL Tier II (03/02/2022) .664. The total surface area ofasolid
Q (a) 9 (b) 8 (c) 13.5 (d) 12
(a) 648 (b) 432 (c) 576 (d) 288 rightcircularcylinderofheight13cm,is
Q.672.Thedifferencebetweentheareas
2 3
880 𝑐 𝑚 . Its volume (in 𝑐 𝑚 )is11k.The ftwoconcentriccirclesis88𝑐 𝑚 .Ifthe
o
2
.657. A well with inner radius 3 m, is
Q
22 radiusoftheinnercircleis 6cmthenthe
dug6mdeep.Thesoiltakenoutofithas value of k is:(Use π = )
7 2
been spread evenly all around it to a area ( in 𝑐 𝑚 ) of the larger circle is
SC MTS 05/10/2021(Afternoon)
S 22
width of 2 m to form an embankment. closest to: (Use π = )
(a) 208 (b) 182 (c) 104 (d) 91 7
The height (in m) of the embankment is:
SC MTS 08/10/2021 (Afternoon)
S
SSC CGL Tier II (03/02/2022) Q.665.The area of a parallelogram ABCD (a) 196 (b) 201 (c) 197 (d) 198
1 1 1 3 2
(a) 4 (b) 4 (c) 3 (d) 3 is 300 𝑐 𝑚 . The distance between AB
2 4 4 8 .673. A rectangular plot is420mlong
Q
and CD is 20cm and the distance
betweenBCandADis30cm.Whatisthe and 84 m wide. It is surrounded by
.658.Asolidmetallicsphereofradius4
Q
perimeter (in cm) of the parallelogram? semi-circular flower beds along all its
cmismeltedandrecastintospheresof2
SSC MTS 05/10/2021 (Evening) sides. The area of the entire plot (in
cmeach.Whatistheratioofthesurface
(a) 60 (b) 50 (c) 40 (d) 100 hectares) is x.Thevalueofx(correctto
areaoftheoriginalspheretothesumof
22
surface areas of the spheres, so formed? one decimal place) is: (Use π = )
.666.Theradiiofthecircularendsofa
Q 7
SSC CGL Tier II (03/02/2022)
frustum ofaconeare20cmand13cm SC MTS 08/10/2021 (Evening)
S
(a) 2 : 1 (b) 2 : 3 (c) 1 : 2 (d) 1 : 4
and its height is 12 cm. What is the (a) 19.1 (b) 18.7 (c) 17.9 (d) 19.4
.659. A cylindrical tube, open at both
Q capacity(inlitres)ofthefrustum(correct
.674. From a wooden cubical blockof
Q
ends, is madeofametalsheetwhichis 22
to one decimal place)? (Use π = ) side10cm,asphereofradius4.2cmis
0.5cmthick.Itsouterradiusis4cmand 7
carvedout.Howmuchwoodiswastedin
3 SC MTS 06/10/ 2021 (Morning)
S
length is 2m.Howmuchmetal(in 𝑐 𝑚 ) (a) 10.4 (b) 11.2 (c) 10.8 (d) 11.4 22
the process (Use π = )
has been used in making the tube ? 7
SSC CGL Tier II (03/02/2022) .667. If the widthofthepatharounda
Q SSC MTS 11/10/2021(Morning)
(a) 800π (b) 450π (c) 750π (d) 550π squarefieldis4.5mandtheareaofthe (a) 476.2𝑐 𝑚
3
(b) 689.536𝑐 𝑚
3
2
ath is 252 𝑚 , then the length of the
p (c) 310.464𝑐 𝑚
3
(d) 523.8𝑐 𝑚
3
.660. The base of a right prism is a
Q
side of the field is:
triangle whose sides are 8 cm, 15 cm
SSC MTS 06/10/ 2021 (Morning) .675. A typist uses a paper of size32
Q
and17cm,anditslateralsurfaceareais
(a) 9.5 m (b) 9 m (c) 8 m (d) 8.5 m cm× 20cm.Heleavesamarginof2cm
2 3
80𝑐 𝑚 . What is the volume (in𝑐 𝑚 ) of
4 each on all the sides. If he leaves a
the prism? .668. Asolidmetalcubeofedge12cm
Q marginof1cmonlyonallthesides.then
SSC CGL Tier II (03/02/2022) is immersed completely in water in a whatisthepercentageoftheincreasein
(a) 540 (b) 600 (c) 720 (d) 640 cylindrical vesselwhoseradiusis20cm theareaavailablefortyping(correctto2
andheightis32cm,andthewaterinthe decimal places)?
Q.661.Thecurvedsurfaceareaofaright vessel is up to a height of 15 cm. The
2
SSC MTS 11/10/2021 (Morning)
ircular cone is 2310 𝑐 𝑚 anditsradius
c height(incm)bywhichthewaterwillrise (a) 20.54% (b) 82.69%
is 21 cm. If its radius is increased by in the vessel is (correct to one decimal (c) 17.04% (d) 79.46%
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Pinnacle Day:19th - 28th Mensuration
.676. A rectangular water reservoir
Q .683. Kamala has three cylindrical
Q t hatisNOTcoveredbythesectorsofthe
contains 126 kilolitres of water. The containers, each with radius 20 cmthat circles ?
depth of the reservoir is 3.5 m and its she wants tofillwithgrain.Ifherbagof SSC MTS 18/10/2021 (Evening)
length measures 8m. What is the width grain contains 100 kg of grain, and she (a) 16 (2 3 − π) (b) 8 (2 3− π)
of the reservoir? fillsallthreecontainerstoaheightof70 π π
(c) 8 (2 3
− ) (d) 16 (2 3− )
SSC MTS 11/10/2021 (Afternoon) cm, how much grain will be left in the 2 2
(a) 4.5 m (b) 4.2 m (c) 4 m (d) 5 m bag. If 1 kg grain occupies 3000 𝑐 𝑚
3
Q.690. Threecubeseachhavingvolume
22
.677. A hall is 18 m long and 12 m
Q space ? (Use π = ) 728 c𝑚
1
3
are placed one above the
7
broad.Ifthesumoftheareasofthefloor other. What is the total surface area of
SC MTS 13/10/2021 (Afternoon)
S
and the ceiling is equal to the sum of the the resulting solid?
3
(a) 88 kg (b) 50 kg (c) 58 kg (d) 12 kg
reasofthefourwalls,thevolume(in𝑚
a SSC MTS 20/10/2021 (Morning)
) of the hall is: .684. Theradiusofasphericalballoon
Q (a) 2304 (b) 2592 (c) 2160 (d) 2016
SSC MTS 12/10/2021 (Morning) increases from 6 cm to 10 cm when
(a) 1175.5 (b) 1876.2 more air is pumped into it. The ratio of .691.Inthegivenfigure,theareaofthe
Q
(c) 1555.2 (d) 1376.4 the surface area of the original balloon unshaded region is 35% of the area of
and the inflated balloon is: theshadedregion.Whatisthevalueofx
.678.Awoodenpieceintheshapeofa
Q SSC MTS 13/10/2021 (Afternoon)
cuboidisdividedintofiveequalpartsby (a) 4 : 5 (b) 27 : 125 (c) 3 : 5 (d) 9 : 25
cutting itwithfourcutsperpendicularto
itslength,anditturnsoutthateachpiece .685. The radius of a cylinder is
Q
3
is a cubeofvolume27𝑐 𝑚 .Whatisthe reducedto50%ofitsactualradius.Ifits
2 volumeremainsthesameasbefore,then SC MTS 20/10/2021 (Morning)
S
t otal surface area (in𝑐 𝑚 ) of the cuboid?
its height becomes k times the original (a) 20 (b) 15 (c) 10 (d) 5
SSC MTS 12/10/2021 (Afternoon)
height. The value of k is:
(a) 150 (b) 174 (c) 216 (d) 198
SSC MTS 14/10/2021 (Evening) .692.Thesumoftheheightandradius
Q
.679.The material of a sphere of radius
Q (a) 2 (b) 16 (c) 8 (d) 4 of the base of a solid right circular
r is melted and recast into a hollow cylinderis46cm.Ifthetotalsurfacearea
.686. The length and breadth of a
Q
cylindrical shellofthicknessaandouter rectangle are 35 cm and 12 cm, ofthesolidcylinderis6072𝑐 𝑚 , whatis
2
radiusb. What is its length assuming that respectively. What will be the 3
no material is lost in recasting? t he volume ( in𝑐 𝑚 ) of the cylinder ?
circumferenceofthecirclethatinscribes
SSC MTS 12/10/2021 (Afternoon) SSC MTS 20/10/2021 (Evening)
22
3 3 this rectangle ? (π = ) (a) 11025π (b) 3030π
𝑟
4 𝑟
4 7
(a) (b) (c) 11020π (d) 3036π
3𝑎( 2𝑎 −𝑏) 3𝑎
(𝑏+
𝑎) (𝑏−
𝑎) SSC MTS 14/10/2021 (Evening)
3 3
3
1
𝑟
4 𝑟
4 (a) 115 m
c (b) 117 m
c .693. A solid right circular cone is cut
Q
(c) (d) 7 7
3𝑎( 𝑏−
𝑎
) 3𝑎
( 2𝑏−
𝑎) into two parts by a plane parallel to its
4 2 base and at a point one-third vertically
.680. The radiusofthebaseofacone
Q (c) 114 cm (d) 116 cm
7 7 below itsvertex.Whatistheratioofthe
andalsothatofahemisphereeachis14
Q.687.Foursolidcubes,eachofvolume volumeofthesmallerconetothatofthe
cm. Also, the volumes of these two
3 whole cone ?
solidsareequal.Thecurvedsurfacearea 728 𝑐 𝑚 ,are kept in two rows having
1
SSC MTS 20/10/2021 (Evening)
of the cone is: two cubes in each row. They form a
1
1 1
1
22 rectangularsolidwithasquarebase.The (a) (b) (c) (d)
(Takeπ= ) 2
9 8 27 3
7 t otal surface area (in 𝑐 𝑚 ) of the
SSC MTS 12/10/2021 (Evening) resulting solid is: .694.Ahorseracecourseisintheform
Q
(a) 614 5(b) 626 5(c) 616 5(d) 516 5 SSC MTS 18/10/2021 (Afternoon) ofanannularringwhoseouterandinner
(a) 1440 (b) 2304 (c) 576 (d) 1152 circumferences are 748 m and 396 m,
.681. Aboywalkedalongtwoadjacent
Q respectively. The width (in m) of the
sides of a rectangular field. If he had .688. A right circular coneisinscribed
Q 22
racecourse is: (π = )
walkedalongthediagonal,thenhewould in a cube of side 14 cm occupying the 7
have saved a distance equal to maximum space possible. What is the SC MTS 22/10/2021 (Morning)
S
one-fourth ofthelargerside.Theratioof ratio of the volume of the cube to the (a) 176 (b) 88 (c) 56 (d) 28
the larger to the smaller side is: 22
volume of the cone ? (π = ) .695. A hall is 18 m long and 12 m
Q
SC MTS 13/10/2021 (Morning)
S 7
broad. Iftheareaofthefloorisequalto
(a) 7 : 24(b) 11 : 18 (c) 24 : 7 (d) 18 : 11 SC MTS 18/10/2021 (Afternoon)
S
the sum of the areas of the four walls,
(a) 81 : 22 (b) 11 : 42
.682. The length of a rectangle is
Q the volume (in m3 ) of the hall is:
(c) 42 : 11 (d) 22 : 81
three-fifth of the radius of a circle. The SSC MTS 22/10/2021 (Evening)
radiusofthecircleisequaltothesideof .689. Three circles,eachhavingradius
Q (a) 876.2 (b) 777.6 (c) 576.4 (d) 675.5
asquarewhoseareais6400𝑚 .Findthe
2 equal to 4 cm, are drawn with the
.696.Theareaofatriangularfieldwith
Q
vertices of an equilateral triangleasthe
2
rea (in 𝑚 ) of the rectangle, if the
a sides60m,175mand185misequalto
centres. Ifthelengthofeachsideofthe
breadth is 20 m is: that of a rectangular park whose sides
triangleisequalto8cm,thenwhatisthe
SSC MTS 13/10/2021 (Morning) are intheratioof21:10.Theperimeter
2
(a) 1200 (b) 480 (c) 960 (d) 1000 area(in𝑐 𝑚 )oftheportionofthetriangle (in m) of the park is:
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Pinnacle Day:19th - 28th Mensuration
SC MTS 26/10/2021 (Afternoon)
S SSC CGL 2020 Tier - 1 .712. The lengths of three sides of a
Q
(a) 341 (b) 403 (c) 372 (d) 310 triangle are in the ratio 3:4:5. Among
.704.Aheapofwheatisintheformof
Q three sides, the difference between the
.697.Acircularwireofdiameter56cm
Q
a cone whose base diameter is 8.4 m largestsideandthesmallestsideofthis
is folded in the shape of a rectangle
and height is 1.75 m. Theheapistobe triangle is 3.6 cm. The area of this
whose sides are in the ratio 7 : 4. The
covered by canvas. What is thearea(in triangle is:
area enclosed by the rectangle is:
22 SSC CHSL 16/04/2021 (Evening)
SSC MTS 26/10/2021 (Evening) m2) of the canvas required ? (π = )
7 (a) 19.44 (b) 32.4 (c) 21.75 (d) 15.64
(a) 1842 (b) 1792 (c) 1684 (d) 1782
SC CGL 16/08/2021 (Afternoon)
S
.713.One - quarter of a circular pizza of
Q
.698. A solid metallic toy has a
Q (a) 60.06 (b) 115.05 (c) 63.6 (d) 115.5
diameter 28 cm was removed from the
hemispherical base with radius 3.5 cm
.705. The area of the square shaped
Q whole pizza. What is the perimeter (in
surmounted by a cone. If the height of 22
field is 1764 m². The breadth of a cm) of the remaining pizza? (π = )
the cone is the same as the radius of its 7
rectangular park is 1/3rdthesideofthe
base, then the volume of metal used in cm3 SC CHSL 04/08/2021 (Morning)
S
square field and its length is two times
SSC MTS 27/10/2021 (Morning) (a) 88 (b) 94 (c) 80 (d) 66
its breadth. What is the cost (in Rs.) of
2
3 3 2
(a) 89 (b)144 (c) 134 (d)179 leveling the park at Rs.15 per m² ?
3 4 4 3 .714. From a rectangle sheet of
Q
SSC CGL 16/08/2021 (Evening)
dimensions 32cm × 18 cm,asquareof
.699. A bucket in the shape of the
Q (a) 4200 (b) 4290 (c) 5880 (d) 4320
side3cmiscutfromthefourcornersof
frustumofaconehasitstopandbottom
.706.Thevolumeofawallwhoseheight
Q thesheetandaboxismade.Thevolume
radii as 20 cm and 10 cm, respectively.
is10timesitswidthandwhoselengthis8 of the box is:
The depth of the bucket is 24 cm. The
times its height, is 51.2 m³. What is the SSC CHSL 05/08/2021 (Afternoon)
3
capacity of the bucket (in𝑐 𝑚 ) is : cost (in Rs.) of painting the wall on one (a) 946 (b) 936 (c) 1305 (d) 1300
22 side at the rate of Rs.100/m² ?
(π = ) .715.Howmanysphericalbullets,each
Q
7
SSC CGL 20/08/2021 (Afternoon)
SSC MTS 02/11/2021 (Morning) bullet being 7 cm in diameter, can be
(a) 12750 (b) 12500 (c) 12800 (d) 12250
3 3 made out ofacubeofleadwhoseedge
(a) 8800𝑐 𝑚 (b) 13200𝑐 𝑚
.707.Asquarehastheperimeterequal
Q 22
3 3 measures 77 cm? (π = )
(c) 17000𝑐 𝑚 (d) 17600𝑐 𝑚 to the circumference of a circle having 7
radius7cm.Whatistheratioofthearea SC CHSL 05/08/2021 (Evening)
S
.700. A rectangle of dimension 10cm
Q
of the circle to the area of the square? (a) 1452 (b) 4521 (c) 2451 (d) 2541
and 5 cm is placed adjacent toanother
rectangle of the samesizetodrawanL SSC CGL 23/08/2021 (Afternoon) .716.Thebaseofatriangleisequalto
Q
shape figure. Find the perimeter of the (a) 7 : 2 (b) 14 : 11 (c) 7 : 11 (d) 121 : 44 the perimeter of a square whose
shape so formed. .708. The area of the circular path
Q iagonal is7 2c
d m and its height is equal
SSC MTS 02/11/2021 (Morning) enclosed by two concentric circles is to the side of a square whose area is 169
(a) 100 (b) 40 (c) 50 (d) 60 3080 m2 . If the difference between the cm2. The area(in cm2) of the triangle is :
radius of the outer edgeandthatofthe SSC CHSL 06/08/2021 (Afternoon)
.701. The total surface area of a
Q
inner edge of the circular path is 10m, (a) 182 (b) 175 (c) 156 (d) 130
hemisphereis nearlyequaltothatofan
equilateral triangle. The side of the what is the sum (in m) of the two radii?
.717.Theperimeterofarectangleis86
Q
triangle is how many times SSC CGL 23/08/2021 (Afternoon)
cm. The measures of its area and
(approximately) of the radius of the (a) 70 (b) 112 (c) 98 (d) 84
breadth are in the ratio of 9 : 1,
hemisphere? respectively.Thebreadthoftherectangle
SSC MTS 02/11/2021 (Evening) SSC CHSL 2020 Tier - 1 is:
8π
4π 0.5 SSC CHSL 11/08/2021 (Evening)
(a) ( ) 0 .5 (b) ( ) Q.709. One diagonal of a rhombus is
3 3 (a) 32 cm (b) 34 cm (c) 36 cm (d) 30 cm
0.5 0.5 3𝑐 𝑚. If the otherdiagonalisequalto
8
(c)(2π
3) (d)(4π 3) its side, then the area of rhombus is: Q.718. The square of the diagonal of a
SSC CHSL 12/04/2021 (Morning) 2
cube is 2175 𝑐 𝑚 . What is the total
.702. When a rectangle is divided into
Q
three equal parts, each of them turns out (a)12 3 (b)24 3 (c)16 3 (d)32 3 2
urface area ( in𝑐 𝑚 ) of the cube?
s
to be a square of 16 cm2 What is the .710. What is the perimeter of a
Q SSC CHSL 12/08/2021 (Afternoon)
perimeter (in cm) of the rectangle? right-angled triangle whose sides (maki- (a) 4305 (b) 4272 (c) 4530 (d) 4350
SSC MTS 02/11/2021 (Evening)
- ng 90°) are20 3𝑐 𝑚and15 3𝑐 𝑚?
(a) 64 (b) 16 (c) 32 (d) 48
SSC CHSL 13/04/2021 (Morning) SSC CPO 2020 Tier - 1
2
Q.703.Thearea(in 𝑐 𝑚 )ofasectorofa (a)60 3 (b)55 3( c)65 3(d)50 3
.719.Thesidesofatriangleare24cm,
Q
4π 26cm and 10cm.Ateachofitsvertices,
circleofradius2cmis
5
. Whatisthe Q.711. The perimeter of an isosceles
1 circlesofradius4.2cmaredrawn.What
entral angle (in degrees) of the sector?
c triangle is 91 cm and its base is 1 2
4 is the area (in 𝑐 𝑚 ) of the triangle,
SSC MTS 02/11/2021 (Evening) t imeseachofitsequalsides.Whatisthe excluding the portion covered by the
(a) 60 (b) 75 (c) 36 (d) 72 length of its base ? ( in cm) sectors of the circle ?
SSC CHSL 16/04/2021 (Morning) SSC CPO 23/11/2020 (Morning)
(a) 35 (b) 20 (c) 25 (d) 28 (a) 27.72 (b) 120 (c) 105.86 (d) 92.28
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Pinnacle Day:19th - 28th Mensuration
.720.A9cmsolidmetalliccubeanda
Q 33.(b) 34.(b) 35.(c) 36.(d) 217.(c) 218.(a) 219.(b) 220.(c)
solid metallic cuboidhavingdimensions
37.(b) 38.(c) 39.(a) 40.(b) 221.(c) 222.(c) 223.(c) 224.(b)
5cm,13cm,31cmaremeltedandrecast
into a single cube. What is the total 41.(c) 42.(d) 43.(b) 44.(d) 225.(c) 226.(d) 227.(b) 228.(b)
2
urface area(in𝑐 𝑚 ) of the new cube?
s 45.(a) 46.(a) 47.(d) 48.(d) 229.(c) 230.(a) 231.(a) 232.(b)
SSC CPO 23/11/2020 (Evening)
49.(b) 50.(c) 51.(c) 52.(a) 233.(d) 234.(a) 235.(c) 236.(b)
(a) 2744 (b) 1362 (c) 865 (d) 1176
53.(d) 54.(c) 55.(a) 56.(c) 237.(a) 238.(c) 239.(a) 240.(d)
.721. Arectangularlawnwhoselength
Q
57.(b) 58.(c) 59.(d) 60.(c) 241.(b) 242.(d) 243.(d) 244.(b)
is twice of its breadth is extended by
having four semi-circular portionsonits 61.(b) 62.(c) 63.(c) 64.(d) 245.(c) 246.(a) 247.(b) 248.(a)
sides. What is the total cost (in Rs.) of 65.(b) 66.(d) 67.(b) 68.(d) 249.(b) 250.(c) 251.(c) 252.(a)
levelling the entire lawn at the rate of
69.(d) 70.(a) 71.(c) 72.(d) 253.(c) 254.(a) 255.(b) 256.(a)
Rs.100 per square metre if the smaller
side of the rectangular lawn is 12 m : 73.(b) 74.(d) 75.(d) 76.(c) 257.(d) 258.(b) 259.(b) 260.(a)
SSC CPO 23/11/2020 (Evening) 77.(a) 78.(a) 79.(d) 80.(c) 261.(a) 262.(d) 263.(d) 264.(c)
(a) 85,320 (b) 86,540
(c) 78,650 (d) 97,625 81.(b) 82.(b) 83.(b) 84.(c) 265.(b) 266.(d) 267.(d) 268.(d)
85.(a) 86.(c) 87.(d) 88.(a) 269.(a) 270.(c) 271.(b) 272.(d)
.722. A9cmsolidmetalliccubeanda
Q
solid metallic cuboidhavingdimensions 89.(a) 90.(a) 91.(d) 92.(a) 273.(d) 274.(c) 275.(c) 276.(c)
5cm,13cm,31cmaremeltedandrecast 93.(d) 94.(c) 95.(a) 96.(b) 277.(c) 278.(c) 279.(c) 280.(b)
into a singlecube.Howmuch(inRs.)is
97.(b) 98.(b) 99.(a) 100.(c) 281.(a) 282.(b) 283.(b) 284.(b)
the cost to polish the new cube at the
2 101.(d) 102.(a) 103.(c) 104.(b) 285.(a) 286.(d) 287.(a) 288.(c)
r ate of Rs.10 per𝑐 𝑚
SSC CPO 24/11/2020 (Morning) 105.(d) 106.(c) 107.(a) 108.(c) 289.(b) 290.(d) 291.(d) 292.(c)
(a) 13,620 (b) 11,760 (c) 8,650 (d) 27,440 109.(b) 110.(c) 111.(c) 112.(c) 293.(a) 294.(d) 295.(b) 296.(d)
.723. A hexagon is 1944 3𝑚 . What
Q
2 113.(b) 114.(a) 115.(b) 116.(d) 297.(b) 298.(a) 299.(d) 300.(a)
willbe thecost(inRs)offencingitatthe 117.(b) 118.(d) 119.(a) 120.(b) 301.(b) 302.(b) 303.(a) 304.(d)
rate of Rs.11.50 per metre?
121.(b) 122.(a) 123.(a) 124.(a) 305.(c) 306.(c) 307.(d) 308.(d)
SSC CPO 24/11/2020 (Morning)
(a) 2,256 (b) 2,785 (c) 3,200 (d) 2,484 125.(b) 126.(a) 127.(d) 128.(b) 309.(c) 310.(c) 311.(a) 312.(c)
129.(a) 130.(b) 131.(a) 132.(b) 313.(c) 314.(b) 315.(a) 316.(d)
.724. The base of a triangle is equalto
Q
the perimeterofasquarewhosediagonal 133.(b) 134.(c) 135.(b) 136.(c) 317.(a) 318.(b) 319.(b) 320.(c)
is 6 2cm , and its height is equal to the 137.(c) 138.(c) 139.(b) 140.(b) 321.(a) 322.(a) 323.(d) 324.(a)
2
side of a square whose area is 144𝑐 𝑚 . 141.(d) 142.(b) 143.(b) 144.(a) 325.(c) 326.(c) 327.(c) 328.(b)
2
he area of the triangle (in𝑚 )
T 145.(a) 146.(a) 147.(a) 148.(b) 329.(c) 330.(b) 331.(a) 332.(a)
SSC CPO 24/11/2020 (Evening)
(a) 144 (b) 216 (c) 288 (d) 72 149.(b) 150.(c) 151.(d) 152.(b) 333.(d) 334.(b) 335.(d) 336.(c)
153.(b) 154.(d) 155.(b) 156.(d) 337.(d) 338.(b) 339.(c) 340.(b)
.725. Theperimeterofasquareishalf
Q
the perimeter of a rectangle. The 157.(a) 158.(b) 159.(d) 160.(b) 341.(b) 342.(b) 343.(d) 344.(d)
perimeter of the square is 40m. If its 161.(d) 162.(b) 163.(b) 164.(b) 345.(c) 346.(a) 347.(b) 348.(c)
breadth is two-thirds of its length, then
165.(b) 166.(c) 167.(a) 168.(a) 349.(a) 350.(b) 351.(d) 352.(c)
what is the area of the rectangle ?
SSC CPO 25/11/2020 (Morning) 169.(d) 170.(d) 171.(c) 172.(b) 353.(a) 354.(c) 355.(d) 356.(d)
(a) 321 (b) 196 (c) 400 (d) 384 173.(a) 174.(b) 175.(b) 176.(c) 357.(d) 358.(d) 359.(d) 360.(c)
177.(d) 178.(a) 179.(a) 180.(a) 361.(c) 362.(b) 363.(c) 364.(b)
Answer Key :-
181.(d) 182.(d) 183.(d) 184.(c) 365.(c) 366.(c) 367.(c) 368.(c)
1.(b) 2.(c) 3.(d) 4.(b) 185.(c) 186.(b) 187.(d) 188.(d) 369.(a) 370.(b) 371.(b) 372.(c)
5.(b) 6.(a) 7.(d) 8.(d) 189.(b) 190.(a) 191.(d) 192.(b) 373.(a) 374.(a) 375.(d) 376.(a)
9.(b) 10.(c) 11.(c) 12.(a) 193.(c) 194.(b) 195.(b) 196.(d) 377.(b) 378.(a) 379.(d) 380.(c)
13.(b) 14.(d) 15.(d) 16.(a) 197.(c) 198.(d) 199.(b) 200.(b) 381.(a) 382.(d) 383.(a) 384.(a)
17.(d) 18.(b) 19.(b) 20.(b) 201.(a) 202.(d) 203.(b) 204.(b) 385.(d) 386.(d) 387.(d) 388.(a)
21.(a) 22.(c) 23.(c) 24.(b) 205.(b) 206.(d) 207.(b) 208.(c) 389.(d) 390.(a) 391.(d) 392.(b)
25.(d) 26.(a) 27.(d) 28.(a) 209.(a) 210.(b) 211.(d) 212.(b) 393.(a) 394.(a) 395.(a) 396.(c)
29.(a) 30.(a) 31.(c) 32.(c) 213.(d) 214.(a) 215.(d) 216.(d) 397.(a) 398.(b) 399.(b) 400.(a)
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