Mensuration
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reghimanshu80Pinnacle Day: 20th - 29th 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 idesareequal,oppositeangles
s
and surface area are calculated. are equal and diagonals bisect
each other.
TWO DIMENSIONAL FIGURES
2) Rhombus- It is a parallelogram with
𝑏 2 2
● Area = 4𝑎 − 𝑏
ll four sides equal. The opposite angles
a
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 ● rea = × 𝑏× 𝑝
A
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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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 hicheverypointisequallydistantfrom
w 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
2 L and breath B, then area of the
● Area= π𝑟
2 2
1 2 pathway is
● rea =(𝑠 𝑖𝑑𝑒) = 𝑎
A = 2 𝑑 ● Circumference (perimeter ) (i) 2𝑥(𝐿 + 𝐵 + 2𝑥), if path is
● Perimeter = 4× side = 4a =2π𝑟 made outside the plot
● Diagonal (d) = a 2 ● Diameter = 2r (ii)2𝑥(𝐿 + 𝐵 − 2𝑥), if a path is
● Length of Arc (AB) made inside the plot.
9.Iftwopaths,eachofwidthxaremade
OTE:
N Important points about θ
=2π𝑟× parallel to length (L) and breadth (B) of
Quadrilaterals 360°
the rectangular plot inthemiddleofthe
● Area of sector AOB
plot crossing each other, then,
1. The diagonals of a parallelogram 2 θ
=π𝑟 × Area of the path =𝑥(𝐿 + 𝐵 − 𝑥)
bisect each other. 360°
2. Diagonal of a parallelogram divides it ● L ength ofArc (AB)= 𝑎𝑛𝑔𝑙𝑒 × THREE DIMENSIONAL FIGURES
into two triangles of equal area. 𝑟𝑎𝑑𝑖𝑢𝑠, (where angle in radian) CUBE
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 All sides are equal. It hassixfacesand
they bisect each other at right angles. 2 edges.
1
3
6. A parallelogram and a rectangle have ● Volume =𝑎
Here, R = radius of bigger ring ,
equal areas if they are on the same ● Total surface area = 6𝑎
2
r = radius of smaller ring
base and between the same parallel ● Diagonal =𝑎 3
2 2
Lines. ● Area =π(𝑅 − 𝑟 )
● Sum of all edges = 12a
● ifference in circumference of
D
both the rings =2π𝑅 − 2π𝑟 Here, a = length of the side
REGULAR POLYGON
Short Cut methods/Tricks CUBOID
In a regular polygon all sides and all
interior angles are equal. A polygon is
Arectangularbodyhaving3Drectangular
called a pentagon, hexagon ,heptagon, 1. If the length and breadth of a rectangle
hape, is called a cuboid.
s
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
𝑎𝑏
If each side of a regular polygon o
f ‘n’ (𝑎
+ 𝑏+ )%
100
sides is equal to ‘a’ then:
2. If any of the two sides of the ● Volume =𝑙× 𝑏× ℎ
● Area of regular pentagon
rectangle is decreased then use ‘–ve’
6.9
● Total surface area =
=
2
× 𝑎 values for that side.
4
3. All the sides of any two dimensional 2(𝑙𝑏 + 𝑏ℎ + 𝑙ℎ)
● Area of regular hexagon figure changed by a%, then its area will 2 2 2
● Diagonal = 𝑙 + 𝑏 + ℎ
2
3 2 𝑎
=6× 𝑎 change by (2a+ )%
4 100 BOX
360° henever there is a decrease, use
W
● ach exterior angle =
E A box has its shape like a cube or cuboid.
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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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 × b readth 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
v olume( or capacity) = sloping sides that meet in a
● Lateralsurfacearea=Perimeter
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
A rectangular room has four walls
1
● Volume = ×base area × height
( surfaces)andoppositewallshaveequal 3
CONE
area. 2 2
● Slant height (l) = 𝑟 + ℎ
● Total Area of walls
Asolidandroundbodywitharoundbase ● Lateral surface area
=2(𝑙 + 𝑏)× ℎ nd pointed peak.
a 𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟×𝑠𝑙𝑎𝑛𝑡ℎ𝑒𝑖𝑔ℎ𝑡
● 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 quilateral triangles.
e
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
● Cone formed by rotating right ⇒ V = × 4
surface area +areaofboththe 3
ngled triangle about its height:
a
circles
2
=2π𝑟ℎ + 2π𝑟 = 2π(𝑟 + ℎ)𝑟
2
𝑎 × ( 6
12
𝑎 +
6
4 )
𝑎
● When the rectangular sheet is 2 3
f oldedalongitslength,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 ase, so as to divide the cone into two
b
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Pinnacle Day: 20th - 29th Mensuration
arts:upperpartandlowerpart,thenthe
p cm high. If thethicknessofthewoodis
Variety Questions
lower part is called frustum. .5 cm, then the volume of wood
0
required is
Q.1. The base of a right prism is an
SSC MTS 14/09/2023 (3rd Shift)
quilateral triangle with each side
e
(a) 165 cm3 (b) 300 cm3
measuring 4 cm. If the lateral surface
(c) 230 cm3 (d) 150 cm3
areais120cm2,findthevolume(incm3)
of the prism. Q.8.Theweightofacubevariesdirectly
● Slant height (l) SSC CHSL Tier II (10/01/2024) s the product of its volume and its
a
2
= ℎ + (𝑅 − 𝑟)
2 (a) 30 3 (b) 40 3 (c) 10 3 (d) 20 3 density. The ratio of densities of the
materials of the first cube and second
● Curved Surface Area Q.2.Someicepieces,sphericalinshape, cube is 27:16. If the weight of the first
=π(𝑅 + 𝑟)𝑙 f diameter 6 cm are dropped in a
o cubeis4timestheweightofthesecond
● Total surface area cylindrical container containing some cube,thenwhatistheratiooftheedges
2 2 juice and are fully submerged. If the of the first cube and second cube?
=π(𝑅 + 𝑟)𝑙 + π𝑅 + π𝑟
diameter of the container is 18 cm and SSC MTS 14/09/2023 (2nd Shift)
2 2
=π{(𝑅 + 𝑟)𝑙 + 𝑅 + 𝑟 } level of juice rises by 40 cm, then how (a) 2 : 3 (b) 3 : 2 (c) 3 : 4 (d) 4 : 3
1 2 2 many ice pieces are dropped in the
● Volume = πh
(𝑟 + 𝑅 + 𝑟𝑅) .9. The weight ofacirculardiscvaries
Q
3 container ?
SSC CPO 05/10/2023 (3rd Shift) directly as the product of the square of
SPHERE (a) 90 (b) 80 (c) 85 (d) 95 the radius and its thickness. Two
identical/similar discs h ave their
3
4 .3. S
Q ome medicine in liquid form is thickness in the ratio of 16 : 9. Whatis
● Volume of sphere = π𝑟 preparedinahemisphericalcontainerof
3 theratiooftheirradiiiftheweightofthe
diameter 36 cm. When the container is first is four times that of the second ?
● Curved Surface area
2
full of medicine, the medicine is SSC MTS 12/09/2023 (3rd Shift)
= Total surface area =4π𝑟 transferredtosmallcylindricalbottlesof (a) 3 : 2 (b) 2 : 3 (c) 1 : 2 (d) 2 : 1
diameter 6 cm and height 6 cm. How
HOLLOW SPHERE OR many bottles are required to empty the Q.10.Apathofuniformwidth2.5mruns
SPHERICAL SHELL: container ? round theoutsideofarectangularfield
a
SSC CPO 04/10/2023 (2nd Shift) ofdimensions45m × 35m.Whatisthe
● Volume of hollow sphere (a) 70 (b) 75 (c) 72 (d) 76 area of the path (in m2) ?
4 3 3 SSC MTS 08/09/2023 (2nd Shift)
= π(𝑅 − 𝑟 ) Q.4. The length and the breadth ofthe
3 (a) 500 (b) 425 (c) 475 (d) 525
2 oor of a rectangular hall are 126 feet
fl
● Internal surface area =4π𝑟 and90feet,respectively.Whatwillbethe .11.Ahemisphericaldomeofabuilding
Q
● External surface area =4π𝑅
2
area (in square feet) of each of the needstobepainted.Ifthecircumference
Here R = external radius and largest identical squaretilesthatcanbe ofthebaseofthedomeis154cm,then
usedtotilethisfloorinawaythatnopart find the cost of painting itifthecostof
r = internal radius
of the floor remains uncovered? 22
painting is ₹4 per 100 cm² (useπ = ).
SSC CPO 03/10/2023 (3rd Shift) 7
HEMISPHERE SC CHSL 10/08/2023 (4th Shift)
S
(a) 196 (b) 256 (c) 324 (d) 484
(a) ₹150.92 (b) ₹ 150.66
Q.5.Theradiioftheendsofafrustumof (c) ₹ 105.29 (d) ₹ 105.66
solidright-circularcone45cmhighare
a
28cmand7cm.Ifthisfrustumismelted .12. The area of a sectorofacircleis
Q
and reconstructed into a solid right 616cm2 withacentralangleof10°.The
● Volume of the hemisphere 22
circular cylinder whose radius of base radius of the circle is _____.(use π = )
2 3 and height are in theratio3:5,findthe 7
= π𝑟
3
curved surface area (in cm2) of this SC CHSL 08/08/2023 (2nd Shift)
S
● Total surface area =3π𝑟
2
22 (a) 84 cm (b) 21 cm (c) 48 cm (d) 28 cm
cylinder. [Useπ = .]
2 7
● Curved surface area =2π𝑟 .13.Findthevolumeofthelargestright
Q
SC CPO 03/10/2023 (1st Shift)
S
Where, r = radius circular cone thatcanbecutoutfroma
(a) 4610(b) 4620(c) 4580(d) 4640
1
cube whose edge is3cm,correctto
Q.6. A square and arhombushavethe 2
IMP. UNIT CONVERSION :
ame base and the rhombus isinclined
s 22
●
3
1𝑚 = 1000 litres and two places of decimals (use π = ).
7
3
at 45°, then what willbetheratioofthe
● litre = 1000𝑐 𝑚
1 SC CHSL 07/08/2023 (4th Shift)
S
area of the square to the area of the
● 1 meter = 10 decimeter (a) 13.21 cm³ (b) 21.31 cm³
rhombus?
= 100 cm = 1000 millimeter (c) 11.23 cm³ (d) 12.13 cm³
SSC MTS 14/09/2023 (3rd Shift)
−1
● 1 meter = 10 decameter (a) 3: 1 (b) 1 : 3 (c) 2: 3 (d) 2: 1 Q.14. Thesumoftheradiusofthebase
−2 ndtheheightofacylinderis42m.Ifthe
a
=10 hectometer Q.7. A closed wooden box measures
totalsurfaceareaofthecylinderis6336
−3
=10 kilometer xternally10cmlong.8cmbroadand6
e 2
𝑚 , find the curved surface area of the
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Pinnacle Day: 20th - 29th Mensuration
cylinder correct to two places of clocksweptbytheminutehandbetween Q.28.ABCDEF is a regular hexagon. Side
22 a.m. and 8:45 a.m.
8 f the hexagon is 36 cm. What is the area
o
ecimals (use π =
d )
7 SSC CGL 12/12/2022 (1st Shift) of the triangle ABC ?
SSC CHSL 02/08/2023 (4th Shift) 6600 6600 SSC CGL Tier II (08/08/2022)
2 2 (a) m2
c (b) m2
c
(a) 2157.43𝑚 (b) 2571.43𝑚 7 9 2 2
(a) 324 3𝑐 𝑚 (b) 360 3𝑐 𝑚
2 2 6600 6600 2 2
(c) 2715.43𝑚 (d) 2517.43𝑚 (c) cm2 (d) cm2 (c) 240 3𝑐 𝑚 (d) 192 3𝑐 𝑚
18 14
.15.Threecubeswithsidesintheratio
Q Q.29.Thefrustumofarightcircularcone
.22. The external diameter of an iron
Q
of 3 : 4 : 5 are melted to form a single as the radius of the base as 5 cm,
h
pipe is 20cmanditslengthis12cm.If
cube whose diagonal is 18√3 cm. The radiusofthetopas3cm,andheightas6
thethicknessofthepipeis1cm,findthe
sides of the three cubes are: cm. What is its volume ?
22
SSC CGL 20/07/2023 (1st shift) surface area of the pipe (take π = ) SSC CHSL 27/05/2022 (Afternoon)
7
(a) 21 cm, 28 cm and 35 cm correct to two places of decimal. (a) 98 π𝑐 𝑚
3
(b) 100 π𝑐 𝑚
3
(b) 9 cm, 12 cm and 15 cm SSC CGL 06/12/2022 (2nd Shift) 3 3
(c) 96 π𝑐 𝑚 (d) 90 π𝑐 𝑚
(c) 18 cm, 24 cm and 30 cm (a) 1,662.67 cm2 (b) 1,552.57 cm2
(d) 12 cm, 16 cm and 20 cm (c) 1,442.48 cm2 (d) 1,772.76 cm2 Q.30. Three sides of a triangle are
2 2 2 2 2 2
Q.16. The perimeter of equilateral .23.Ifthelengthofcertainrectangleis
Q + 𝑏 , (2𝑎) + 𝑏 and 𝑎 + (2𝑏)
𝑎
4 16 decreased by 4 cm and breadth is units. What is the area (inunitsquares)
triangleis3× ( ) units.Determine of a triangle?
3 increased by 2 cm, it would result in a
t he area of the triangle. square of the same area. What is the SSC CGL Tier II (03/02/2022)
Matriculation Level 30/06/2023 (Shift - 4) perimeter of the original rectangle ?
5
3
(a) 𝑎𝑏 (b) 3𝑎𝑏 (c) 4𝑎𝑏 (d) 𝑎𝑏
(a) 4 unit2 (b) 1 unit2 (c) 3 unit2 (d) 2 unit2 SSC CGL 06/12/2022 (1st Shift) 2 2
(a) 15 cm (b) 24 cm (c) 20 cm (d) 10 cm
.17. Asphericalballofdiameter8cm
Q .31. A square park has been divided
Q
is cut into two equal parts. The curved Q.24.Twoidenticalcircleseachofradius into two rectangles of equal area.Ifthe
area of one suchparthastobepainted 0cmintersecteachothersuchthatthe
3 perimeter of eachoftheserectanglesis
with green colour, while the other part circumference of each one passes 39 m, thenwhatwillbetheperimeterof
has to be painted with red colour. The through the center of the other.Whatis the square park ?
basesofboththehemispheresaretobe the area of the intersecting region? SSC CHSL 09/08/2021 (Afternoon)
painted with blue colour. The cost of SSC CGL 03/12/2022 (4th Shift) (a) 104 m (b) 39 m (c) 78 m (d) 52 m
painting with blue is ₹2/cm², while the (a) 400π - 250 3cm² .32.Thecircumferenceofacircleis‘aπ’
Q
cost of painting the curved area is
(b) 300π - 150 3 cm² units and the area of the circle is '𝑏π'
₹3/cm². What will be the cost (in₹) of
(c) 500π - 350 3 cm² square units. If a:b is equal to 4:5,then
painting the hemispheres? Take л = 3.14
the radius of the circle is:
Matriculation Level 28/06/2023 (Shift - 4) (d) 600π - 450 3cm²
SSC CHSL 06/08/2021 (Evening)
(a) ₹451.92 (b) ₹492.92
Q.25. The area of a trapezium shaped (a) 3 cm (b) 2.5 cm (c) 5 cm (d) 2 cm
(c) ₹803.84 (d) ₹401.92
eld is 1785 square feet. The distance
fi
Q.33.Theareaofatriangularfieldwhose
.18. A cube of side 5 cm, has been
Q betweenthetwoparallelsidesis35feet
idesare65m,72mand97misequalto
s
assembled using 125 cubes each of 1 and one of the parallel sides is 42 feet
the area of a rectangular park whose
cmedge.Onecubeisremovedfromthe long. What is the length of the other
sidesareintheratioof5:13.Whatisthe
middleofeachofthefacesofthecube. parallel side ?
perimeter (in m) of the rectangular park?
What is the surfacearea(incm²)ofthe SSC CPO 11/11/2022 (Evening)
SSC CHSL 19/04/2021 (Morning)
remaining solid? (a) 60 ft (b) 35 ft (c) 40 ft (d) 65 ft
(a) 108 (b) 180 (c) 216 (d) 144
SSC CHSL Tier II (26/06/2023)
.26.If the sum of the diagonals of a
Q
(a) 155 (b) 144 (c) 150 (d) 174 Q.34.Abicyclewheelhasaradiusof42
rhombusisLandtheperimeteris4P,find
m. It makes 40 revolutions in 25
c
Q.19. A prism and a pyramid have the the area of the rhombus?
seconds. What isitsspeed(inkmph,up
amebaseandthesameheight.Findthe
s SSC CPO 11/11/2022 (Morning)
to one decimal place) ?
ratioofthevolumesoftheprismandthe
1 1
(a) (L² - P²) ( b) (L² - 4P²) SSC CHSL 16/04/2021 (Morning)
pyramid. 4 4
(a) 3.5 (b) 11.6 (c) 15.2 (d) 9.5
SSC CGL Tier II (07/03/2023) 1 1
(c) (L² - 4P²) (d) (L² + 3P²)
(a) 2 : 3 (b) 3 : 1 (c) 1 : 3 (d) 3 : 2
2
4 Q.35. A wireisbenttoformasquareof
2
.27. Water is flowing through a
Q area169 𝑐 𝑚 . Ifthesamewireisbentto
.20. How many metres of 2 m wide
Q 2
cylindrical canal with an internal f ormacircle,thenwhatisitsareain𝑐 𝑚
cloth will be required to make aconical
diameter of 7 m at the speed of 18 (to the nearest whole number) ?
tentwiththediameterofthebaseas14
km/h.Find the volume of water flowing SSC CHSL 13/04/2021 (Afternoon)
m and slant height as 9 m to ignore
through the canal in 30 minutes. (takeπ (a) 215 (b) 227 (c) 532 (d) 531
wastage ?
22
SSC CGL 12/12/2022 (1st Shift) = ) Q.36.Asectorofradius10.5cmwiththe
7
(a) 66 m (b) 88 m (c) 99 m (d) 77 m ◦
SC CPO 09/11/2022 (Afternoon)
S entral angle 120 is folded to form a
c
.21. The minute hand of a clock is20
Q (a) 3,76,500 m³ (b) 3,56,500 m³ conebyjoiningthetwoboundingradiiof
cm long. Find the area on the face of the (c) 3,66,500 m³ (d) 3,46,500 m³ the sector. What is the volume (in𝑐 𝑚 ) of
3
www.ssccglpinnacle.com Download Pinnacle Exam Preparation App 118
Pinnacle Day: 20th - 29th Mensuration
t he cone so formed ? Q.44.Theareaofasectorofacirclewith The length of smaller side of the
SSC CGL Tier II (13/09/2019) ◦
entralangle60 isA.Thecircumference
c 22
rectangle is : (Take 𝜋 = )
7
343 2 343 3 of the circle is C. Then A is equal to :
(a)
6
π (b)
6
π SC CHSL 03/07/2019 (Afternoon)
S
SSC CHSL 10/07/2019 (Evening)
343 3 343 2 2 2 2 2 (a) 44 cm (b) 36 cm (c) 40 cm (d) 32cm
(c) π (d) π 𝑐 𝑐 𝑐 𝑐
12 12 (a) (b) (c) (d)
π
6 18π 24π π
4 .53. A circle circumscribesarectangle
Q
Q.37. The base of a right prism is a whose sides are in the ratio4:3.Ifthe
.45. Equilateral triangles are drawn on
Q
t riangle withsides20cm,21cmand29 perimeteroftherectangleis56cm,then
the hypotenuse and one of the
3 what is the area (In square cm) of the
cm. If its volume is 7560𝑐 𝑚 , then its perpendicular sides of a right-angled
circle ?
lateral surface area (in𝑐 𝑚 ) is :
2 isosceles triangle. Their areas are H and
SSC CHSL 03/07/2019 (Morning)
SSC CGL Tier II (12/09/2019) 𝐴
A respectively. is equal to : (a) 70𝜋 (b) 96𝜋 (c) 90𝜋 (d) 100𝜋
𝐻
(a) 2484 (b) 2556 (c) 2520 (d) 2448
SSC CHSL 10/07/2019 (Afternoon) Q.54.Theradiusofthebaseofacylinder
.38. If the radius of a sphere is
Q
1
1 1 1 is 7 cm and its curved s
urface area is
(a) (b) (c) (d)
increased by 4 cm, its surface area is 4 2 2
2 2 440squarecm.Itsvolume(Incubiccm)
2
increased by 464π𝑐 𝑚 . What is the 22
.46. Twelve sticks, each of length one
Q will be: (Take 𝜋 = )
3 7
v olume (in𝑐 𝑚 ) of the original sphere ? unit, are used to form an equilateral
SC CHSL 02/07/2019 (Evening)
S
SSC CGL Tier II (11/09/2019) triangle. The area of the triangle is :
15625 35937
(a) 1760 (b) 1430 (c) 1540 (d) 1650
(a) π (b) π SSC CHSL 10/07/2019 (Morning)
6 8
(a) 3 3 (b) 2 3 (c) 4 3 (d) 8 3 .55. The curved surface area and
Q
11979 15625
(c) π (d) π volume of a cylindrical pole are 132
2 8 .47. If the length of a rectangle is
Q square metres and 528 cubic metres,
decreased by 11% and the breadth is respectively.Whatistheheight(Inm)of
Q.39. The base of right prism is a
increased by 11%, its area will undergo : 22
t rapezium whose parallel sides are 11 the pole ? (Take 𝜋 = )
SSC CHSL 09/07/2019 (Afternoon) 7
cm and15cmandthedistancebetween
(a) 13.13% increase (b) 1.21% increase SSC CHSL 02/07/2019 (Afternoon)
themis9cm.Ifthevolumeoftheprism
3 (c) 1.21%decrease (d) 13.13% decrease
1 5 1 5
is1731.6 𝑐 𝑚 ,thentheheight(incm)of (a) 2 (b) 3 (c) 3 (d) 2
2 8 2 8
the prism will be : .48. If each side of a rectangle is
Q
SSC CGL Tier II (11/09/2019) increased by 22%, then its area will .56.The area of a field in the shape of a
Q
(a) 15.6 (b) 15.2 (c) 14.8 (d) 14.2 increase by : hexagonis2400√3squaremeters.What
SSC CHSL 08/07/2019 (Morning) will be the cost(Rs.) of fencing it atRs.
.40.Aribbonofequalwidthandlength
Q (a) 44% (b) 50% (c) 46.65% (d) 48.84% 18.50 per meter?
𝑙 is wrapped around the curved surface SSC CHSL 01/07/2019 (Evening)
of a right circular cylinder to cover it .49.In triangle ABC, the length of BC is
Q
(a) 4440 (b) 5920 (c) 5550 (d) 5180
completely. Ifthebasecircumferenceof lessthantwicethelengthofABby2cm.
this cylinder is c, then how many times The length of AC exceeds the length of .57. Six cubes,eachofedge2cm,are
Q
the ribbon was wrapped around the ABby10cm.Theperimeteris32cm.The joined end to end. What is the total
cylinder ? length(incm)ofthesmallestsideofthe surface area of the resulting cuboid
SSC MTS 05/08/2019 (Evening) triangle is : SSC CGL 13/06/2019 (Morning)
𝑙 𝑙 𝑙 𝑙
2 SSC CHSL 05/07/2019 (Afternoon) (a) 96𝑐 𝑚
2
(b) 144𝑐 𝑚
2
(a) (b) (c) (d)
4𝑐 𝑐 2𝑐 𝑐 (a) 4 (b) 10 (c) 8 (d) 6 2 2
(c) 104𝑐 𝑚 (d) 128𝑐 𝑚
Q.41.The volume of a right circular cone .50. The parallel sides of a trapezium
Q
.58. The radius of asphereisreduced
Q
isequaltothatofasphere,whoseradius are20cmand10cmanditsnon-parallel
by 40%. Bywhatpercent,willitsvolume
ishalftheradiusofthebaseofthecone. sidesareequaltoeachother.Ifitsareais
decrease?
Whatistheratiooftheradiusofthebase 2
80 𝑐 𝑚 , then what is thelength(incm)
1 SSC CGL 10/06/2019 (Afternoon)
to the height of the cone ? of each non parallel side? (a) 60% (b) 64% (c) 72.5% (d) 78.4%
SSC CHSL 11/07/2019 (Afternoon) SSC CHSL 04/07/2019 (Morning)
(a) 1 : 4 (b) 1 : 2 (c) 4 : 1 (d) 2 : 1 (a) 11 (b) 13 (c) 12 (d) 15 Q.59.Theareaofafieldintheshapeofa
t riangle with each side x meter isequal
.42.ABCDisarhombuswitheachside
Q Q.51.Thelengthofarectangularparkis to the area of another triangular field
beingequalto8cm.IfBD=10cm,AC= 0mmorethanitsbreadth.Ifthecostof
2 having sides 50m, 70m and 80m. The
2 𝑥c
m, what is the value of 𝑥 + 10? fencing the park at Rs. 53 per metre is value of x is closest to :
SC CHSL 11/07/2019 (Afternoon)
S Rs. 21,200, then what is the area (In SSC CGL 07/06/2019 (Afternoon)
(a) 2 3 (b) 3 2 (c) 7 (d) 5 square metres) of the park ? (a) 65.5 (b) 63.2 (c) 62.4 (d) 61.8
SSC CHSL 03/07/2019 (Evening)
Q.43. The two diagonals of a rhombus (a) 9504 (b) 8925 (c) 9240 (d) 9900 .60.Asectoriscutoutfromacircleof
Q
re respectively, 14 cm and 48 cm.The
a diameter42cm.Iftheangleofthesector
perimeter of the rhombus is equal to : .52. A wire is in the shape of a
Q is150°,thenitsarea(insquarecm)is:
SSC CHSL 11/07/2019 (Morning) rectanglewhosesidesareintheratio7: 22
(a) 120cm (b) 160cm (c) 80cm (d) 100cm 4. It was initiallyintheshapeofacircle (Take 𝜋 = )
7
of radius , very nearlyequalto31.5cm. SSC CGL 07/06/2019 (Morning)
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Pinnacle Day: 20th - 29th Mensuration
(a) 564 (b) 574 (c) 580.6 (d) 577.5 m and height is 7m ?
c SSC CPO 16/03/2019 (Morning)
SSC CPO 16/03/2019 (Evening) 2 2
(a) 84𝑚 (b) 168𝑚 (c) 126𝑚 (d) 42𝑚
2 2
.61.Theradiiofthreeconcentriccircles
Q (a) 176 rs (b) 184 rs (c) 175 rs (d) 186 rs
areintheratioof4:5:7.Whatistheratio .78. A squarecardboardwithside3m
Q
oftheareabetweenthetwoinnercircles .70.Asteelvesselhasabaseoflength
Q is folded through one of its diagonal to
to that between the two outer circles ? 60 cm and breadth 30 cm. Water is make a triangle, the height(m) of the
SSC CGL 06/06/2019 (Evening) pouredinthevessel.Acubicalsteelbox triangle is :
(a) 4 : 7 (b) 5 : 9 (c) 4 : 5 (d) 3 : 8 having an edge of 30 cm is immersed SSC CPO 16/03/2019 (Morning)
completely in the vessel. By how much 3 2
.62. The length of the metallic pipe is
Q will the water rise? (a) (b) 2 3 (c) 3 2 (d)
2 3
7.56m.Itsexternalandinternalradiiare SSC CPO 16/03/2019 (Evening)
2.5cmand1.5cmrespectively.If1cubic (a) 12 cm (b) 15 cm (c) 10 cm (d) 9 cm Q.79.Thesurfaceareaofacubeis1176
cm of the metal weigh 7.5 g, then the 2 3
𝑐 𝑚 Its volume(in𝑐 𝑚 ) is:
weight(kg) of the pipe is .71. Original breadth of a rectangular
Q
SSC CPO 16/03/2019 (Morning)
SSC CGL 06/06/2019 (Afternoon) boxis20cm.Theboxwasthenremadein
(a) 3486 (b) 3964 (c) 3206 (d) 2744
(a) 72.82 (b) 70.14 (c) 71.28 (d) 69.68 such a way that its length increased by
30% but the breadth decreased by 20% Q.80. The liquid in a container is
Q.63.The volume of a metallic cylindrical 2
3 andtheareaincreasedby100𝑐 𝑚 .What ufficient to paint an area of 11.28 𝑚 .
s
2
ipe is 7480 𝑐 𝑚 . If its length is 1.4 m
p 2
is the new area(in 𝑐 𝑚 ) of the box ? How many boxes of dimension30cm×
and its external radius is 9 cm, then its
SSC CPO 16/03/2019 (Evening) 25cm × 12cm can be painted with the
22
thickness (given π = ) is: (a) 2500 (b) 2200 (c) 2600 (d) 2400 liquid in this container.
7
SC CGL 06/06/2019 (Morning)
S SSC CPO 16/03/2019 (Morning)
Q.72.12bucketsofwaterfillatankwhen
(a) 1 cm(b) 0.8 cm (c) 0.9 cm (d) 1.2cm (a) 40 (b) 24 (c) 32 (d) 12
t hecapacityofeachbucketis13.5liters.
Q.64. The areas of the three adjacent How many buckets willbeneededtofill Q.81. If theareaofaregularhexagonis
2 2 the same tank, if the capacity of each 1
2
08 3𝑐 𝑚 , its perimeter (in cm) is:
faces of a cuboid are 32𝑐 𝑚 , 24𝑐 𝑚
bucket in 9 liters ? SSC CPO 15/03/2019 (Evening)
2 3
nd48𝑐 𝑚 .Whatisthevolume(in 𝑐 𝑚
a SSC CPO 16/03/2019 (Evening)
)of the cuboid ? (a) 36 2 (b) 42 3 (c) 28 3 (d) 24
(a) 15 (b) 16 (c) 18 (d) 17
SSC CGL 04/06/2019 (Evening) Q.82. A square piece of cardboard with
(a) 192 (b) 256 (c) 288 (d) 128 .73. Find the cost ofcarpetingaroom
Q
ide 12 cm has a small square of 2 cm
s
which is 11m long and 6m broad by a
Q.65. Theareaofatriangleis15sqcm cut out from each of the corners. The
carpetwhichis60cmbroadattherateof
nd the radius ofitsincircleis3cm.Its
a resulting flaps are turned up to make a
rs 112.50 per meter. 3
perimeter is equal to : SSC CPO 16/03/2019 (Afternoon) ox 2 cm deep. The volume (in 𝑐 𝑚 ) of
b
SSC CGL 04/06/2019 (Evening) (a) 12,375 (b) 13,280 the box is:
(a) 12 cm (b) 20 cm (c) 5 cm (d) 10 cm (c) 11,695 (d) 12,040 SSC CPO 15/03/2019 (Evening)
(a) 128 (b) 94 (c) 102 (d) 11
2
.66. How much iron sheet (in 𝑚 ) will
Q .74. A field is 119m × 18m in
Q
2
be needed to construct a rectangular dimension. A tank 17m × 6m × 3m is .83. The area (in 𝑐 𝑚 )ofarightangled
Q
tankmeasuring 10𝑚 × 8𝑚 × 6𝑚,ifa dug out in the middle and the soil triangle having base 24 cm and
circularopeningofradiusonemeteristo removed is evenly spread over the hypotenuse 25 cm is :
beleftatthetopofthetank?(correctto remaining part ofthefield.Theincrease SSC CPO 15/03/2019 (Evening)
one decimal place) in the level on theremainingpartofthe (a) 72 (b) 108 (c) 92 (d) 84
SSC CGL 04/06/2019 (Afternoon) field is: (in cm)
SSC CPO 16/03/2019 (Afternoon) Q.84.Thelengthofthelongestpolethat
( a) 371.6 (b) 370.4 (c) 372.9 (d) 370.8
(a) 14 cm (b) 13 cm (c) 15 cm (d) 12 cm an beplacedinaroom16mlong,8m
c
.67.Asolidcubeofvolume13824𝑐 𝑚
Q
3 wide and 11 m high is:
iscutinto8cubesofequalvolumes.The .75.Aswimmingpoolis40minlength,
Q SSC CPO 15/03/2019 (Evening)
ratio of the surface area of the original 30minbreadthand2.2mindepth.The (a) 21 m(b) 20 m (c) 18 m (d) 19 m
cube to thesumofthesurfaceareasof cost of cementing its floor and the four
2 Q.85. If the height of an equilateral
three of the smaller cubes is : ides at Rs. 25/𝑚 is:
s 2
SSC CPO 16/03/2019 (Afternoon) t riangle is10 3cm, the area (in𝑐 𝑚 ) is:
SSC CGL 04/06/2019 (Morning)
(a) Rs.43,980 (b) Rs.37540 SSC CPO 15/03/2019 (Morning)
(a) 2 : 3 (b) 4 : 3 (c) 8 : 3 (d) 2 : 1
(c) Rs.34260 (d) Rs.37700 (a) 124 3 (b) 75 3( c)80 3 (d)100 3
.68. The unequal side of an isosceles
Q
triangle is 2cm. The medians drawn to .76.The base of an isosceles triangle is
Q Q.86. A tall rectangular vessel is half
the equal sides are perpendicular. The 6 cm and its perimeter is 16 cm. Its area lled with water. Thebasedimensionof
fi
area of the triangle is : is ? the vessel is 62 cm × 45 cm. A heavy
SSC CPO 16/03/2019 (Evening) SSC CPO 16/03/2019 (Morning) metal cube of edge 15 cm is dropped
2 2 2 2
2
(a) 2𝑐 𝑚
2 2
(b) 3𝑐 𝑚 (c) 5𝑐 𝑚 (d) 1𝑐 𝑚
2
(a) 9𝑐 𝑚 (b) 11𝑐 𝑚 (c) 10𝑐 𝑚 (d) 12𝑐 𝑚 into the vessel. The rise in level of the
vessel is:
.69.What will be total cost of polishing
Q .77. Find the inner surface area of all
Q SSC CPO 15/03/2019 (Morning)
curved surface of a wooden cylinder at wallsofarectangularroomwithlength7 (a) 1.21 cm (b) 1.15 cm
2
rate of Rs 20 per𝑚 , if its diameter is 40 m breadth 5 m and height 3.5 m . (c) 1.07 cm (d) 1 cm
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Pinnacle Day: 20th - 29th Mensuration
Q.87. The dimensions of a swimming (c) 2,725.5 cm³ (d) 2,524.5 cm³ Q.102. What will be the difference
ool are 66m× 35𝑚 × 3𝑚. How many
p etween the total surface area and the
b
hourswillittaketofillthepoolbyapipe Q.95. The radius and height of a right curved surface area of a hemisphere
of diameter35cmwithwaterflowingat ircular cone is increased by 25%. Find
c having 4 cm diameter ?
speed 8 m/s ? theincreaseinpercentageofthevolume SSC CPO 03/10/2023 (2nd Shift)
SSC CPO 15/03/2019 (Morning) of the cone (rounded off to 2 decimal (a) 4.4π cm2 (b) 5π cm2
(a) 2.75 h (b) 3.5 h (c) 2.5 h (d) 3.2 h places). (c) 4π cm 2
(d) 8π cm2
SSC CHSL Tier II (02/11/2023)
Q.88. Which of the following has the (a) 94.31% (b) 95.31% .103. A conical shape vessel has a
Q
aximum number of vertices ?
m (c) 94.51% (d) 93.51% radiusof21cmandhasaslantheightof
SSC CPO 14/03/2019 (Evening) 25cm.Ifthecurvedpartofthevesselis
(a) Cuboid .96.Ahollowcubeismadeofpaperto
Q tobepaintedwhite,findthecost(in₹)of
(b) Triangular Prism have a volume of 512 cubic units. How painting at the rate of ₹1.5 per cm2.
(c) Hexagonal pyramid much paper in square units will be SSC CPO 03/10/2023 (2nd Shift)
(d) Tetrahedron required to make the cube? (a) 2475(b) 825 (c) 1650(d) 1250
SSC CHSL Tier II (10/01/2024)
.89. A diagonalofaquadrilateralis40
Q (a) 328 (b) 348 (c) 288 (d) 384 .104. The volume of a right circular
Q
cm. The length of the perpendicular to conehavingabasediameterof14cmis
.97. A right rectangular box’s
Q 196πcm3 .Findtheperpendicularheight
theoppositeendsis7.5cmand8.6cm.
measurement are 1.6 m long, 90 cm of this cone
What is the area (in cm) of quadrilateral ?
wide, 60 cm in height. Soap cakes of SSC CPO 03/10/2023 (2nd Shift)
SSC CPO 14/03/2019 (Evening)
measurement6cm×5cm×40mmare (a) 8 cm(b) 14 cm (c) 10 cm (d) 12 cm
(a) 434 (b) 322 (c) 368 (d) 28
tobepackedinthebox,sothatnospace
Q.90. The area of each square of a isleft.Howmanycakescanbepackedin Q.105. A solid sphere made of wax of
2 the box ? r adius 12 cm is melted and cast into
chessboard having 64squaresis4 𝑐 𝑚 .
SSC CHSL Tier II (10/01/2024) solid hemispheres of radius 4 cmeach.
Ifthereisaborderonallthesidesofthe
(a) 6000(b) 5600(c) 6500(d) 7200 Find the number of such solid
chessboard of 2 cm, then theperimeter
hemispheres.
of the chessboard is:
SSC CPO 03/10/2023 (3rd Shift)
SSC CPO 14/03/2019 (Morning) SSC CGL 2023 Tier - 2
(a) 14 (b) 54 (c) 28 (d) 27
(a)128cm (b) 80cm (c)70cm (d)256cm
.98. The ratio of the length, widthand
Q Q.106.Findtheareaofarhombusifthe
.91. The sides of a triangle are 24cm,
Q heightofaclosedcuboidisgivenas6:3 erimeter of the rhombusis52cm,and
p
45cm and 51cm. At each ofitsvertices, :2.Thetotalsurfaceareaofthiscuboid one of its diagonals is 10 cm long.
circlesofradius10.5cmaredrawn.What isgivenas1800cm2.Findthevolume(in SSC CPO 03/10/2023 (3rd Shift)
is the area of the triangle, excluding the cm3) of this cuboid. (a) 164 cm² (b) 144 cm²
portion covered by sectors of the circles? SSC CGL Tier II (26/10/2023) (c) 160 cm² (d) 120 cm²
SSC CPO 13/03/2019 (Evening) (a) 4650(b) 4800(c) 4500(d) 4200
(a) 244.75𝑐 𝑚
2
(b) 366.75𝑐 𝑚
2 Q.107. The curved surface area (CSA)
2 2 .99.A solid cube, whose each edge is
Q nd the total surface area (TSA) of a
a
(c) 464.75𝑐 𝑚 (d) 327.75𝑐 𝑚 oflength48cm,ismelted.Identicalsolid hemisphere whose radius is 7 cm are:
.92. The radius of a cylinder is
Q cubes,eachofvolume64cm3,aremade SSC CPO 03/10/2023 (3rd Shift)
increased by 150 % and its height is out of this molten cube, without any (a) CSA - 308 cm² ; TSA - 462 cm²
decreased by 20 %. What is the wastage. How many such small cubes (b) CSA - 320 cm² ; TSA - 480 cm²
percentage increase in its volume? are obtained ? (c) CSA - 412 cm² ; TSA - 544 cm²
SSC CPO 12/03/2019 (Morning) SSC CGL Tier II (26/10/2023) (d) CSA - 350 cm² ; TSA - 500 cm²
(a) 400% (b) 600% (c) 500% (d) 80% (a) 1728(b) 1718(c) 1748(d) 1738
Q.108. If the radius of a hemispherical
alloon increasesfrom4cmto7cmas
b
Practice Questions SSC CPO 2023 Tier - 1
airispumpedintoit,findtheratioofthe
surface area of the new balloon to its
.100. The radii of two cylinders are in
Q
SSC CHSL 2023 Tier - 2 the ratio of4:5andtheirheightsarein
original.
SSC CPO 04/10/2023 (1st Shift)
theratioof5:2.Theratiooftheirvolume
Q.93. The diameter of a sphere is (a) 20:49 (b) 16:21 (c) 49:16 (d) 21:12
is:
increased by 30%. What is the SSC CPO 03/10/2023 (1st Shift) .109. The total surface area of a
Q
percentage increase in its volume ? (a) 9 : 7 (b) 9 : 4 (c) 8 : 5 (d) 2 : 1 square-based right pyramid is 1536 m²,
SSC CHSL Tier II (02/11/2023)
ofwhich37.5%istheareaofthebaseof
(a) 69% (b) 119.7% .101. The cost of painting the total
Q
the pyramid. What isthevolume(inm³)
(c) 41.7% (d) 90.5% surface area of a 30 m high solid right
of this pyramid ?
circularcylinderattherateof₹25perm2
SSC CPO 04/10/2023 (1st Shift)
.94.The diameter of a hemispherical
Q is ₹18,425. What is the volume (in m3) of
(a) 3108 (b) 3048 (c) 3072 (d) 3144
bowl is 21 cm. The volume of the bowl is 22
this cylinder [useπ = ]?
22 7 Q.110. The areaofarectangularfieldis
equal to: (use π = )
7 SC CPO 03/10/2023 (2nd Shift)
S 2
80 𝑚 . If the length is 20%morethan
4
SC CHSL Tier II (02/11/2023)
S (a) 1210(b) 1155(c) 1145(d) 1122
the breadth, then the length of the
(a) 2,624.5 cm³ (b) 2,425.5 cm³
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Pinnacle Day: 20th - 29th Mensuration
r ectangular field is: .118.Acylinderhassomewaterinitat
Q SSC MTS 2023 Tier - 1
SSC CPO 04/10/2023 (2nd Shift) aheightof16cm.Ifasphereofradius9
(a) 24 m(b) 20 m(c) 27 m(d) 30 m cm isputintoit,thenfindtheriseinthe .126.Thediameterofametallicsphere
Q
height of the water if the radius of the is 6 cm. It is melted and drawn into a
.111. If the diameter of a sphere is
Q cylinder is 12 cm. wire having a diameter of the cross
reduced to its half, then the volume SSC CPO 05/10/2023 (1st Shift) sectionas0.4cm.Findthelengthofthe
would be : (a) 1.6 cm (b) 8.75 cm wire (in meters).
SSC CPO 04/10/2023 (2nd Shift) (c) 8 cm (d) 6.75 cm
1
SSC MTS 01/09/2023 (1st Shift)
(a) reduced by f the former volume
o (a) 18 (b) 9 (c) 12 (d) 10
8 .119. A sphere and another solid
Q
1 hemispherehavethesamesurfacearea. Q.127. The area of a trapezium shaped
(b) increased by of the former volume
4 The ratio of their volumes is: eldis1720m2,thedistancebetweenits
fi
1 SSC CPO 05/10/2023 (2nd Shift)
(c) reduced by of the former volume parallel sides is 40 m and the lengthof
4
(a) 2 3: 8 (b) 3 3: 8 oneoftheparallelsidesis48m.Whatis
1
(d) increased by of the former volume (c) 3: 4 (d) 3 3: 4 the length (in m) of the other parallel
8
side?
Q.120.Whatwillbetheareaofaplotof SSC MTS 01/09/2023 (2nd Shift)
.112. The heights of two cones are in
Q
uadrilateral shape, one of whose
q (a) 56 (b) 38 (c) 42 (d) 34
the ratio 7 :5andtheirdiametersarein
diagonals is 20 m and lengths of the
the ratio 10 : 21. What is the ratio of their
perpendiculars from the opposite Q.128. Fromacuboidofdimensionof8
22
volumes ? (Where π = ) vertices on it are 12 m and 18 m, 6 × 6 units, smallcubesofdimension
×
7
respectively ? 0.5 × 0.5 × 0.5 unit are c
ut. How many
SC CPO 04/10/2023 (2nd Shift)
S
SSC CPO 05/10/2023 (2nd Shift) small cubes can be cut from the big
(a) 17 : 21 (b) 14 : 19
(a) 250 m² (b) 400 m² cuboid ?
(c) 20 : 63 (d) 26 : 47
(c) 200 m² (d) 300 m² SSC MTS 01/09/2023 (3rd Shift)
Q.113. If the baseradiusandtheheight (a) 576 (b) 1152 (c) 2304 (d) 1552
f a right circularconeareincreasedby
o .121. Two metallic balls P and Q are
Q
suchthatthediameterofPisfourtimes Q.129. The radius and the height of a
10%,thenthepercentageincreaseinthe
the diameter of Q . What is the ratio r ightcircularconeareintheratio3:4.If
volume is:
between the volumes of P and Q? its volume is 301.44m³, find the slant
SSC CPO 04/10/2023 (3rd Shift)
SSC CPO 05/10/2023 (2nd Shift) height (useπ = 3.14).
(a) 33.1% (b) 20.2% (c) 22.1% (d) 30.2 %
(a) 8 : 1 (b)16 : 1 (c) 64 : 1 (d) 32 : 1 SSC MTS 04/09/2023 (1st Shift)
Q.114. The diameter ofahemisphereis (a) 5 cm (b) 20 cm (c) 10 cm (d) 15 cm
qual to the diagonal of a rectangle of
e .122.Iftheslantheightofaconeis29
Q
cmanditsheightis20cm,findtheratio .130. Water is pouring into a cuboidal
Q
length 4 cm and breadth3cm.Findthe
betweenthemagnitudesoftotalsurface reservoir at the rate of 50 litres per
rea (in cm2) of the
total surface a
area and the volume. minute. The volume of the reservoir is
hemisphere.
3
SSC CPO 04/10/2023 (3rd Shift) SSC CPO 05/10/2023 (3rd Shift) 20 𝑚 . How manyhourswillittaketo
1
50π 5π
2 5π
7 (a) 3 : 7 (b) 3 : 14 (c) 5 : 14 (d) 7 : 15 fill the reservoir ?
(a) 25π (b) (c) (d)
4
4
4 SSC MTS 04/09/2023 (3rd Shift)
Q.123.Theradiusofametallicspherical
(a) 35 (b) 45 (c) 40 (d) 30
Q.115. A cylindrical metallic rod of allis3cm.Ifthemetallicballismelted
b
iameter 2 cm and length 45 cm is
d andrecastintoxnumberofhemispheres Q.131. Find the number of solid lead
melted and converted into wire of of radius equal to half the radiusofthe alls each 2 cmindiameterthatcanbe
b
uniform thickness and length 5 m. The metallicsphericalball,thenfindthevalue madefromsolidspheremadeupoflead
diameter of the wire is: of x. of diameter 14 cm.
SSC CPO 04/10/2023 (3rd Shift) SSC CPO 05/10/2023 (3rd Shift) SSC MTS 05/09/2023 (1st Shift)
(a) 5 mm (b) 3 mm (c) 2 mm (d) 6 mm (a) 14 (b) 16 (c) 13 (d) 15 (a) 433 (b) 343 (c) 430 (d) 340
.116. The height and the radiusofthe
Q Q.124.Ahollowcylindricaltubemadeof .132. Whatisthetotalsurfacearea(in
Q
base of a right circular cone are in the lastic is 3 cm thick. If the external
p cm²) of a conewithabaseradiusof28
ratio of 12 : 5. If itsvolumeis314cm³, diameteris20cmandlengthofthetube 22
is 49 cm, find the volume of the plastic. cm and height of 45 cm? (use π = )
thenwhatistheslantheightofthecone 7
? (Use π = 3.14) SSC CPO 05/10/2023 (3rd Shift) SC MTS 05/09/2023 (1st Shift)
S
SSC CPO 05/10/2023 (1st Shift) (a) 7644 cm3 (b) 7238 cm3 (a) 8168 (b) 6288 (c) 7128 (d) 9216
3
(a) 11 cm (b) 14 cm (c) 12 cm (d) 13 cm (c) 7854 cm (d) 7546 cm3
Q.133. A right circular cone is 9.8 cm
.117. A right square pyramid having
Q .125. Thenumberofballs,eachoneis
Q ight withtheradiusofitsbase4cm.It
h
lateral surface area is 624 cm². If the 4 cm in the diameter that can bemade is melted andrecastintoarightcircular
length of the diagonal of the square is 24 from asolidmetallicsphereofdiameter cone with the radius of its base 3.5 cm.
32 cm is: 22
, then the volume of the pyramid is:
2 Find its height (useπ = ).
SSC CPO 05/10/2023 (3rd Shift) 7
SSC CPO 05/10/2023 (1st Shift)
(a) 512 (b) 256 (c) 1024(d) 64 SC MTS 05/09/2023 (2nd Shift)
S
(a) 780 cm³ (b) 1150 cm³
(a) 21.8 cm (b) 28.1 cm
(c) 1083 cm³ (d) 960 cm³
(c) 12.8 cm (d) 18.2 cm
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Pinnacle Day: 20th - 29th Mensuration
Q.134. Usingthemiddlepointsofsides Q.143.Ahollowmetalsphereofinternal area is 4070 cm², then what will be its
f a square with an area of 36 square
o nd external radii 5 cm and 6 cm,
a 22
volume (in cm³)? (useπ = )
units, another square is made. What is respectively, is melted into a solid cone 7
theareaofanewsquaremadeinsquare ofbaseradius5.2cm.Whatistheheight SC MTS 13/09/2023 (1st Shift)
S
units? (incm,roundedoffto1decimalplace)of (a) 1180 (b) 16,300 (c) 15,400 (d) 17,600
SSC MTS 05/09/2023 (2nd Shift) the cone ?
Q.152.Thelongestdiagonalofacubeis
(a) 24 (b) 27 (c) 18 (d) 21 SSC MTS 11/09/2023 (1st Shift)
(a) 11.8 (b) 12.8 (c) 13.5 (d) 14.5 3 cm. Find the total surface area of
6
Q.135. The length of the median of an the cube.
quilateral triangle is 6 3 cm. The area
e Q.144. Find the area (in cm²) of the SSC MTS 13/09/2023 (3rd Shift)
of the triangle is: r hombus, lengths of whose diagonals (a) 648 cm² (b) 216 cm²
SSC MTS 05/09/2023 (3rd Shift) are, respectively, 7.5 cm and 5.6 cm. (c) 36 cm² (d) 324 cm²
SSC MTS 11/09/2023 (3rd Shift)
(a) 36 3cm2 (b) 36 cm2
(a) 21 (b) 28 (c) 27 (d) 30 .153. A solid metallic cuboidoflength
Q
(c) 72 cm2 (d) 72 3 cm2 11 cm,breadth8cmandheight6cmis
.145.Some solid metallic right circular
Q melted and reshaped to form a coneof
.136. Whatisthelengthofthelongest
Q
cones, each with diameter of the base 8 height 14 cm. What is the radius ofthe
pole that can be placed in an indoor
cmandheight6cmaremeltedtoforma cone thus formed ?
stadium24mlong,18mwideand16m
solid sphere of radius 12 cm. Find the SSC MTS 13/09/2023 (3rd Shift)
high ?
numberofrightcircularconeswhichare (a) 6 cm(b) 9 cm(c) 7 cm(d) 8 cm
SSC MTS 06/09/2023 (1st Shift)
melted.
(a) 38 m (b) 34 m (c) 42 m (d) 36 m Q.154.Thelength,breadthandheightof
SSC MTS 11/09/2023 (3rd Shift)
(a) 60 (b) 66 (c) 72 (d) 70 cuboidareintheratioof6:4:3.Ifthe
a
Q.137. Metallic spheres of radii 6cm,8
total surface area of the cuboid is 972
mand10cm,respectively,aremeltedto
c
Q.146. Find the diameter of the sphere cm², what is the length (in cm) of the
form a single solid sphere. Find the
6 diagonal of the cuboid ?
radius of the resulting sphere (in cm). whose volume is 381 m³.
7 SSC MTS 14/09/2023 (1st Shift)
SSC MTS 06/09/2023 (2nd Shift) SC MTS 12/09/2023 (1st Shift)
S
(a) 18 (b) 12 (c) 24 (d) 16 (a) 5 65(b) 3 61 (c) 3 65(d) 5 61
(a) 8 m (b) 7 m (c) 9 m (d) 18 m
Q.138.Theareasofthreeadjacentfaces .155. A triangle has itssides5cm,12
Q
.147. If a hollow sphereofanexternal
Q
2 cm and 13 cm. Whatwillbetheareaof
of a cuboid are 𝑝, 𝑞 and 𝑟 𝑢𝑛𝑖𝑡 , andinternaldiametersof6cmand4cm,
the triangle formed by joining the mid
r espectively. What is its volume ? respectively, is melted into a cone of
point of the three sides ?
SSC MTS 06/09/2023 (3rd Shift) base diameter 8 cm, then the height of
SSC MTS 14/09/2023 (2nd Shift)
3 3 3 3 3
the cone is:
(a)𝑝 𝑞 𝑟 𝑢𝑛𝑖𝑡 (b) 𝑝𝑞𝑟𝑢𝑛𝑖𝑡
1
1
SSC MTS 12/09/2023 (1st Shift) (a) 7 cm2 (b) 19 cm2
3 3 3 2 2
(c)𝑝𝑞𝑟𝑢𝑛𝑖𝑡 (d) 𝑝𝑞𝑟𝑢𝑛𝑖𝑡
3
1
(a) 4 m
c (b) 3 m
c 1
4 4 (c) 13 cm2 (d) 15 cm2
.139. The radius of a cone is10.5cm
Q 2
1 3
andtheareaofthecurvedsurfaceis396 (c) 5 cm (d) 2 cm
4 4 .156.Theheightofarightcircularcone
Q
22
cm². Find it's slant height. Takeπ = is20cm,anditsbasediameteris30cm.
7 .148. A conical tent is set to
Q
SC MTS 08/09/2023 (1st Shift)
S What is thecurvedsurfaceareaandthe
accommodate 15 persons. Each person
(a) 9 cm (b) 11.5 cm (c) 12 cm (d) 8.5 cm total surface area of the right circular
must have 5squaremetresofspaceon
cone, respectively ?
thegroundand30cubicmetresofairto
.140. Find the volume of a cuboid
Q SSC MTS 14/09/2023 (2nd Shift)
breathe. What is the height of the cone?
whose dimensions are 12.2 cm, 16 cm (a) 335π cm² and 525π cm²
SSC MTS 12/09/2023 (2nd Shift)
and 8.5 cm. (b) 390 cm² and 475π cm²
(a) 15 m (b) 22 m (c) 13 m (d) 18 m
SSC MTS 08/09/2023 (1st Shift) (c) 450 cm² and 625π cm²
(a) 3072 cm³ (b) 1659.2 cm³ Q.149. A steel sphere of radius 1cmis (d) 375π cm² and 600π cm²
(c) 832 cm³ (d) 1664 cm³ eltedandcastintoawireofdiameter4
m
mm, then the length of the wire is: SSC CHSL 2023 Tier - 1
.141.Acylinderhasatotalsurfacearea
Q
SSC MTS 12/09/2023 (3rd Shift)
of 64π squareunits,wheretheheightof
1
1 Q.157. If a right circular cone of height
the cylinder is equal to its radius. Ifthe (a) 31 m
c (b) 35 m
c
3 7 4cmhasthecircumferenceofitsbase
2
height is doubled and the radius is
1 1 42 Π c
m,thenthevolumeoftheconeis
halved,thenthetotalsurfaceareaofthe (c) 37 cm (d) 33 cm
7 3 22
new cylinder is________square units. (useπ = ) :
7
SSC MTS 08/09/2023 (3rd Shift) .150.The length of an edge of a cube is
Q
SC CHSL 02/08/2023 (1st Shift)
S
(a) 54π (b) 40π (c) 64π (d) 48π 3.5 cm. Find its total surface area.
(a) 15211 cm³ (b) 11088 cm³
SSC MTS 13/09/2023 (1st Shift)
.142.Findtheareaofatrianglewhose
Q (c) 12034 cm³ (d) 21011 cm³
(a) 73.5 cm² (b) 36 cm²
baseis7cmandcorrespondingheightis
(c) 27 cm² (d)154 cm² Q.158. Aman wants to gethisspherical
82 cm.
verhead water tank having a diameter
o
SSC MTS 08/09/2023 (3rd Shift) Q.151. If the diameter of the base of a
of7m,painted.Ifthecostofpaintingis
(a) 191 cm2 (b) 574 cm2 one is 70 cm and its curved surface
c
2 ₹13 per square metre, find the cost of
(c) 143 cm (d) 287 cm2
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Pinnacle Day: 20th - 29th Mensuration
2
painting Aman’s spherical overhead ( a) 292 cm² ( b) 290 cm .175. A cuboidal water tank is 12 m
Q
22 (c) 288 cm² (d) 286 cm² long, 9 m wide and 7.5 m deep. How
ater tank. (Useπ =
w )
7 many litres of water can it hold?
SC CHSL 02/08/2023 (2nd Shift)
S .167.Ifamapofacitywasdrawnona
Q SSC CHSL 08/08/2023 (1st Shift)
(a) ₹1,872 (b) ₹1,984 scaleof0.2cmtoakm,whatareawould (a) 840000 (b) 805000
(c) ₹2,002 (d) ₹1,926 represent a country if it has an area of (c) 780000 (d) 810000
22500 km²?
.159.If the height and slant height of a
Q SSC CHSL 04/08/2023 (2nd Shift) .176. How many solid spheres are
Q
cone are 21 cm and 29 cm, respectively. (a) 2500 cm² (b) 2250 cm² made ifametallicconeofradius12cm
22 (c) 5625 cm2 (d) 900 cm2 and height 24 cm is melted into sphere
Find the volume. (useπ = )
7 of radius 2 cm each ?
SC CHSL 02/08/2023 (3rd Shift)
S .168. The sides of the three cubes of
Q SSC CHSL 08/08/2023 (3rd Shift)
(a) 8800 cm3 (b) 8780 cm3 metal are 15 cm, 18 cm a nd 25 cm, (a) 105 (b) 101 (c) 108 (d) 103
3
(c) 8440 cm (d) 8080 cm3 respectively. Findtheside(incm)ofthe
newcubeformedbymeltingthesecubes Q.177. What is the area of a triangular
.160.AcirclewithcentreOhasachord
Q together ower bed ofagardenwhoseperimeter
fl
ABthatis20cminlength.Iftheradiusof SSC CHSL 04/08/2023 (2nd Shift) is20metresandtwosidesare5metres
the circle is 12 cm, then the area of 3 3 3 3 and 6 metres.
(a) 9 388(b) 6 388(c) 7 388(d) 4 388
triangle AOB is: SSC CHSL 08/08/2023 (4th Shift)
SSC CHSL 02/08/2023 (3rd Shift) .169. Ashopkeeperusuallymakesone
Q (a)10 2𝑚
2
(b)2 10𝑚
2
(a) 20 15cm 2
(b) 22 11cm 2 big besan laddoo (spherical in shape) 2 2
(c)5 2𝑚 (d)4 5𝑚
(c) 20 11cm 2
(d) 22 15cm 2 with a radius of 9 cm. With the same
laddoo, How many besan laddoos of .178.Asolidcuboidismeltedtoforma
Q
.161. The length of each side of an
Q 22 number of cubes. If the length, breadth
radius 3 cm can be made? (Use π = )
equilateral triangle is 22 cm. Find the 7 andheightofacuboidare20cm,16cm
area (in cm²) of this triangle . SC CHSL 04/08/2023 (3rd Shift)
S and8cm,andtheedgeofeachcubeis4
SSC CHSL 02/08/2023 (4th Shift) (a) 9 (b) 18 (c) 36 (d) 27 cm, then the number of cubes is:
(a) 121 (b) 242 3 (c) 121 3 (d) 242 SSC CHSL 09/08/2023 (2nd Shift)
Q.170. How many litres ofwatercana
(a) 50 (b) 44 (c) 40 (d) 48
emispherical tank of radius 2.1 m
h
.162. The perimeterofaparallelogram
Q
22 .179. The length, breath of a cuboidal
Q
is 48 cm. If the height of the contain? (Take π = )
7
parallelogram is 6 cm and thelengthof boxare25cmand15cm,respectively.If
SC CHSL 04/08/2023 (4th Shift)
S
the adjacent side is 8 cm. find its area. the volumeoftheboxis1875cm³,then
(a) 18984 (b) 19324 (c) 18404 (d) 19404
SSC CHSL 03/08/2023 (1st Shift) the height of the box (in cm) is:
2 2
.171. The area of a triangleishalfthe
Q SSC CHSL 09/08/2023 (3rd Shift)
(a) 90𝑐 𝑚 (b) 80𝑐 𝑚
2 2 area of a square. The perimeter of the (a) 4.0 (b) 5.0 (c) 5.5 (d) 4.5
(c) 84𝑐 𝑚 (d) 96𝑐 𝑚
squareis172cm.Whatistheareaofthe
Q.180. The diameter of a sphere is 14
.163. In an isosceles triangle, if the
Q triangle (in cm²) ?
m, then the volume of this sphere is
c
unequalsideis8cmandequalsideis5 SSC CHSL 04/08/2023 (4th Shift) 22
cm, then the area of the triangle is: (a) 924.5 (b) 1984 (c) 1849 (d) 992 (use π = ):
7
SSC CHSL 03/08/2023 (1st Shift) SSC CHSL 09/08/2023 (4th Shift)
2 2 .172. The radius of a circle is 21 cm.
Q
(a) 12𝑐 𝑚 (b) 25𝑐 𝑚
1
1
Whatwillbethearea(incm2)ofasector (a) 1437 cm3 (b) 1683 cm3
2 2 3 3
(c) 6𝑐 𝑚 (d) 11𝑐 𝑚 of thecirclethatsubtendsa22.5°angle
2 1
22 (c) 1521 cm3 (d) 2125 cm3
.164. Find the volume of the largest
Q at the centre? [Use π = ] 3 3
7
possiblespherecircumscribedbyacube
SC CHSL 07/08/2023 (2nd Shift)
S Q.181. The perimeter of a sector of a
of edge 7 cm.
(a) 86.6205 (b) 86.0625 ircle of radius 7.4 cm is 20.6 cm. The
c
SSC CHSL 03/08/2023 (2nd Shift)
(c) 86.6250 (d) 86.6025 area of this sector is:
3 3
(a) 179.67𝑐 𝑚 (b) 169.67𝑐 𝑚 SSC CHSL 10/08/2023 (3rd Shift)
3 3 .173.Asolidrectangularblockofmetal
Q
(c) 189.67𝑐 𝑚 (d) 199.67𝑐 𝑚 (a) 42.92𝑐 𝑚
2
(b) 5.8𝑐 𝑚
2
ofdimensions88cm×21cm×21cm,is
2 2
.165.Thelength,breadthandheightof
Q meltedtoformasolidsphere.Whatisits (c) 10.73𝑐 𝑚 (d) 21.46𝑐 𝑚
aroomare7m,5mand3m,respectively. 22
radius (in cm) ? Take (π = ) Q.182. The total surface area ofasolid
7
Find the cost of whitewashingthewalls
SC CHSL 07/08/2023 (2nd Shift)
S emisphere ofdiameter14cmis(useπ
h
oftheroomandtheceilingattherateof
₹16 per m2. (a) 28 (b) 35 (c) 21 (d) 14 22
= ):
7
SSC CHSL 03/08/2023 (3rd Shift) Q.174. A sphere of diameter18cmhas SC CHSL 11/08/2023 (1st Shift)
S
(a) ₹1,712 (b) ₹1,742 eenmeltedtomakecylinderofradius3
b (a) 522 cm² (b) 462 cm2
(c) ₹1,698 (d) ₹1,684 cmandheight2cm.Thetotalnumberof (c) 428 cm² (d) 584 cm²
cylinder made out will be:
.166. The difference between thetotal
Q
SSC CHSL 07/08/2023 (3rd Shift) Q.183.Theperimeterofaminorsectorof
surfaceareaandthelateralsurfacearea
(a) 40 (b) 100 (c) 54 (d) 45 circleofradius5cmis15.5cm.Findthe
a
of a cube of side 12 cm is:
22
SSC CHSL 03/08/2023 (4th Shift) area of the minor sector (use π = ).
7
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Pinnacle Day: 20th - 29th Mensuration
SC CHSL 11/08/2023 (1st Shift)
S SC CHSL 17/08/2023 (1st Shift)
S r atio 5 : 7. Find the ratio of their bases.
(a) 17.53 cm² (b) 13.75 cm² (a) ₹198(b) ₹184(c) ₹208(d) ₹216 SSC CGL 17/07/2023 (1st shift)
(c) 13.57 cm² (d) 17.35 cm² (a) 3 : 5 (b) 7 : 3 (c) 7 : 5 (d) 2 : 3
.192. Ahemisphericalbowlismadeof
Q
.184.Acopperwireisbentintheform
Q 1cmthicksteel.Theinsideradiusofthe Q.200. If the side of an equilateral
of a square and it encloses an area of bowlis4cm.Thevolumeofthesteel(in t riangle is increased by 34%, then by
30.25 cm2. If the same wire is bent to cm³) used in making the bowl is: what percentage will its area increase?
form a circle, then find the area of the SSC CHSL 17/08/2023 (2nd Shift) SSC CGL 17/07/2023 (2nd shift)
22
2
1 (a) 70.65% (b) 79.56%
circle. (use π = ). (a) 40 π (b) 27 π
7 3 3 (c) 68.25% (d) 75.15%
SC CHSL 11/08/2023 (2nd Shift)
S 1 1
(c) 41 π (d) 35 π .201. An arc of length 23.1 cm
Q
(a) 38.50 cm2 (b) 42.25 cm2 3 3
(c) 35 cm 2
(d) 30.25 cm2 subtends an 18° angle at the centre.
Q.193. A rod of 5 cmradiusand52cm What is the area of the circle ?
.185.Ametallicsphereofradius21cm
Q lengthisconvertedintoawireof100cm 22
is melted and then recast into smaller length of uniform thickness. The radius [Useπ= ]
7
cones eachwitharadiusof7cm,anda of the wire (in cm) is: SC CGL 17/07/2023 (2nd shift)
S
height of 3 cm. Find the number of cones SSC CHSL 17/08/2023 (4th Shift) (a) 16978.50 cm² (b) 16988.50 cm²
obtained. (a) 13 (b) 15 (c) 23 (d) 17 (c) 16878.50 cm² (d) 16798.50 cm²
SSC CHSL 11/08/2023 (4th Shift)
(a) 225 (b) 325 (c) 522 (d) 252 Q.202. What is the volume of a cube if
SSC CGL 2023 Tier - 1 t he perimeter ofonefaceofthecubeis
Q.186.Iftheslantheightandradiusofa 40 cm ?
r ightcircularconeare28cmand21cm, Q.194.The volume of a sphere of radius
SSC CGL 17/07/2023 (3rd shift)
respectively, then the total surface area 22
4.2 cm is: (use π = ) (a) 1000 cm³ (b) 820 cm³
7
of the right circular cone (in cm2) is: (c) 600 cm³ (d) 800 cm³
22 SC CGL 14/07/2023 (1st shift)
S
(Taken π = ) (a) 278.234 cm³ (b) 312.725 cm³ .203. Find the area of the sector of a
Q
7
SC CHSL 14/08/2023 (1st Shift)
S (c) 297.824 cm³ (d) 310.464 cm³ circle with radius 5 cm and angle 60°
(a) 3234 (b) 3342 (c) 3243 (d) 3324 (rounded off to one decimal).
Q.195.Ifthetotalsurfaceareaofacube
SSC CGL 17/07/2023 (3rd shift)
.187. The sides of a triangle are of
Q is24sq.units,thenwhatisthevolumeof
(a) 12.8 cm² (b) 14.1 cm²
length 8cm,15cmand17cm.Findthe the cube?
(c) 13.1 cm² (d) 15.1 cm²
area of the triangle. SSC CGL 14/07/2023 (2nd shift)
SSC CHSL 14/08/2023 (1st Shift) (a) 8 cu.units (b) 16 cu.units Q.204. A sector of a circle of radius10
(a) 65 cm² (b) 75 cm² (c) 10 cu.units (d) 4 cu.units m is formedat60°angleatthecentre.
c
(c) 60 cm² (d) 70 cm² What will be its area (take π = 3.14)?
Q.196.Ranucarrieswatertoschoolina
SSC CGL 17/07/2023 (4th shift)
Q.188. The total surface area of a ylindricalflaskwithdiameter12cmand
c
(a) 52.33 cm² (b) 75.28 cm²
ylinder whoseradiusis6cmandheight
c height 21 cm. Determine the amountof
(c) 60.67 cm² (d) 55.00 cm²
22 water that she can carry in the flask.
is 8 cm is (use π = ). 22
7 .205. A spherical ball of lead, 3 cmin
Q
(Use π = )
SC CHSL 14/08/2023 (2nd Shift)
S 7 diameter,ismeltedandrecastintothree
(a) 528 cm2 (b) 575 cm2 SC CGL 14/07/2023 (4th shift)
S spherical balls. The diametersoftwoof
2
(c) 658 cm (d) 625 cm2 (a) 2372 cm³ (b) 2370 cm³
3
(c) 2376 cm³ (d) 2374 cm³ these balls are cm and 2cm ,
2
Q.189.Findthesurfaceareaofasphere respectively. Find the diameter of the
22 .197. Thevolumeofaconewithheight
Q
hose radius is 3.5 cm (use π =
w ). t hird ball.
7 equal to radius, and slant height 5 cm is:
SSC CGL 17/07/2023 (4th shift)
SC CHSL 14/08/2023 (3rd Shift)
S SSC CGL 17/07/2023 (1st shift)
(a) 2.1 cm (b) 3.3 cm (c) 3 cm (d) 2.5 cm
(a) 154 cm² (b) 152 cm² 125π 125π
(c) 146 cm² (d) 160 cm² (a) cm3 (b) cm3 .206. Theareaofthesectorofacircle
Q
12 3 6 3
of radius 12 cm is 32 π cm². Find the
.190.Thecurvedsurfaceareaofaright
Q 125π 125π
length of the corresponding arc of the
(c) cm3 (d) cm3
circular cone of diameter 42 cm is 990 12 2 6 2 sector.
cm². What is the slant height(incm)of SSC CGL 17/07/2023 (4th shift)
22 Q.198. If the areaofacircleis616cm²
the cone ? (use π = ). 16 13
7 nd a chord XY = 10 cm, then find the
a (a) π𝑐 𝑚 (b) π𝑐 𝑚
3 3
SC CHSL 14/08/2023 (4th Shift)
S perpendicular distance from the center
10 8
(a) 10 (b) 15 (c) 24 (d) 12 of the circle to the chord XY. (c) π𝑐 𝑚 (d) π𝑐 𝑚
3 3
SSC CGL 17/07/2023 (1st shift)
Q.191. A cylindrical pillar is 84 cm in (a) 171cm (b) 161cm Q.207. The ratio of the length of each
iameterand5minheight.Findthecost
d qual side and the third side of an
e
(c) 117cm (d) 181cm
of painting the curved surface of the isosceles triangle is 3 : 5. If the area of
pillar at the rate of ₹15 per m2. Q.199.Theareaoftwotrianglesisinthe 2
t he triangle is30 11𝑐 𝑚 , then the length
22 r atio 5 : 3 and their heights are in the
(use π = ). of the third side (in cm) is:
7
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Pinnacle Day: 20th - 29th Mensuration
SSC CGL 18/07/2023 (2nd shift) SSC CGL 20/07/2023 (2nd shift) .0014m³,thenhowmanybrickswillbe
0
(a)10 6 (b)5 6 (c)13 6 (d)11 6 (a) 6 2cm (b) 9 cm (c) 6 cm (d) 3 6cm required toconstructawalloflength14
m, breadth 0.125 m and height 5 m?
Q.208.Aconicaltentwithradius6units Q.217. Find the total surface area (in SSC CGL 21/07/2023 (3rd shift)
nd height 8 units is to be made by
a m²) of a cuboid having dimensions 5
c (a) 5250 (b) 3250 (c) 6250 (d) 4250
canvas. How much canvasisneededto cm, 7 cm and 11 cm.
make the tent? (Rounded off of two SSC CGL 20/07/2023 (2nd shift) Q.226.Anarconacircle,whoselengthis
places of decimals) (a) 385 (b) 334 (c) 343 (d) 167 9.25 cm, subtends an 18° angleatthe
1
SSC CGL 18/07/2023 (3rd shift) centre. What is the area of the circle?
(a) 188.57 units (b) 155.87 units .218. The slant height of a coneis10
Q 22
[Use π = ]
(c) 166.57 units (d) 177.55 units cm, and the radius is 6cm.Whatisthe 7
total surface area of the cone? (Take π = SC CGL 21/07/2023 (4th shift)
S
.209. Area of a sector is1848m²and
Q 3.14) (a) 11796.625 cm2 (b) 11786.625 cm2
the central angle of the sector is 270°. SSC CGL 20/07/2023 (3rd shift) 2
(c) 11780.625 cm (d) 11790.625 cm2
Find the radius of the circle. (a) 292.4 cm² (b) 312.2 cm²
22 (c) 305.4 cm² (d) 301.44 cm² Q.227. If the inner radius of a
(Take π = ) emispherical bowl is 5 cm and its
h
7
SC CGL 18/07/2023 (4th shift)
S .219. The width of a rectangle is 2 m
Q thickness is 0.25 cm, then find the
(a) 784 m (b) 22 m (c) 27 m (d) 28 m less than its length. If the perimeter of volume of the material required in
the rectangle is 68 m, then what is the 22
makingthebowl.(useπ= )(Rounded
.210.Aconicaltenthasaradiusof7m
Q length (in metres) of the rectangle? 7
andaverticalheightof24m.Howmany SSC CGL 20/07/2023 (4th shift) p to two places of decimals).
u
fullbagsofricecanbeemptiedinitifthe (a) 20 (b) 18 (c) 16 (d) 17 SSC CGL 21/07/2023 (4th shift)
spaceoccupiedbythericeineachbagis (a) 34 cm3 (b) 44 cm3
2 m³ ? Q.220.Thelength,breadthandheightof (c) 45.34 cm3
(d) 41.28 cm3
SSC CGL 19/07/2023 (1st shift) cuboid are in the ratio 1 : 2 : 3. The
a
(a) 566 (b) 616 (c) 716 (d) 650 length, breadth andheightofthecuboid Q.228. A one metre pipe is made with
are increased by 200%,300%and300%, innerdiameterequaltoouterradius.How
.211. Find the length of the arcofthe
Q respectively. Then compared to the muchmaterial(incubicunits)isrequired
sectorofacircleofdiameter7cmwitha original volume, the increase in the 88
tomakethepipe,ifitcanhold cubic
22 volume of the cuboid will be: 7
central angle of 108°. [Use π = ] etres water in it ?
m
7 SSC CGL 20/07/2023 (4th shift)
SC CGL 19/07/2023 (1st shift)
S (a) 47 times (b) 26 times SSC CGL 24/07/2023 (1st shift)
(a) 6.6 cm (b) 5.6 cm (c) 17 times (d) 15 times (a) 37.7 (b) 35.5 (c) 33.3 (d) 36.6
(c) 13.2 cm (d) 11.2 cm
Q.221. The volume of a cuboidistwice Q.229.Theratioofthelengthtowidthof
.212. The lateral area of a cylinder is
Q t hat of a cube. If the dimensionsofthe certainrectangleis3:2andtheareais
a
3168 cm2 and its height is 48 cm. Find cuboidare(8m×8m×16m),thetotal 150 cm². Theperimeteroftherectangle
the volume. surface area of the cube is: (in cm) is :
SSC CGL 19/07/2023 (2nd shift) SSC CGL 21/07/2023 (1st shift) SSC CGL 24/07/2023 (1st shift)
(a) 5244 cm3 (b) 5544 cm3 (a) 316 m² (b) 288 m² (a) 20 (b) 30 (c) 50 (d) 40
(c) 5644 cm3 (d) 16632 cm3 (c) 324 m² (d) 384 m²
Q.230. The length of each side of a
.213. The wheel of a lorry has radius
Q Q.222. The perimeter of an isosceles t riangle is 12 cm. What is the lengthof
182 cm. The number of revolutions t riangle is 100 cm.Ifthebaseis36cm, the circumradius of the triangle?
(approximately) per minute the lorry then find its semi perimeter (in SSC CGL 24/07/2023 (1st shift)
wheel will makeis_____(ifthespeedof centimetres). (a) 8√3 cm (b) 2√3 cm
the lorry is 66 km/h). SSC CGL 21/07/2023 (2nd shift) (c) 6√3 cm (d) 4√3 cm
SSC CGL 19/07/2023 (2nd shift) (a) 64 (b) 60 (c) 45 (d) 50
.231.Thelength,breadth,andheightof
Q
(a) 100 (b) 96 (c) 1144 (d) 66
.223. Three solid metallic spheres of
Q a room are 10 m, 8 m and 6 m
.214. To have a surface area of 9π
Q radii 1 cm, 6 cmand8cm,respectively, respectively. Find the cost of white
square units of a ball, what should be the are meltedandrecastintoasinglesolid washing the walls of the room and the
diameter (in units) of the ball? sphere.Theradiusofthenewsphereso ceiling at the rate of ₹7.50 per m².
SSC CGL 19/07/2023 (3rd shift) formed is: SSC CGL 24/07/2023 (2nd shift)
(a) 2.5 (b) 2 (c) 1.5 (d) 3 SSC CGL 21/07/2023 (3rd shift) (a)₹2,220 (b) ₹1,850
(a) 9.0cm (b) 5.9cm (c) 7.7cm (d) 8.5cm (c) ₹2,150 (d) ₹2,000
Q.215. If the surface area of a cube is
046 cm², then the volume of the cube is:
5 .224. Theareaofthesectorofacircle
Q Q.232.If the diameter of a sphere is 7
SSC CGL 19/07/2023 (4th shift) of radius 28 cm is 112 cm². Find the m, then find the volume of the sphere.
c
(a) 26189𝑐 𝑚³ (b) 25145𝑐 𝑚³ 22
length of the corresponding arc of the (useπ=
) (Rounded up to two places
7
(c) 22812𝑐 𝑚³ (d) 24389𝑐 𝑚³ sector.
f decimal).
o
SSC CGL 21/07/2023 (3rd shift)
Q.216. A solidconewithcurvedsurface SSC CGL 24/07/2023 (3rd shift)
(a) 4 cm (b) 8 cm (c) 6 cm (d) 5 cm
reatwiceitsbaseareahasslantheight
a (a) 184𝑐 𝑚
3 3
(b) 201.34 𝑐 𝑚
of 6 3cm. Its height is : Q.225.If the volume of one brick is 3 3
(c) 128.87𝑐 𝑚 (d) 179.67 𝑐 𝑚
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Pinnacle Day: 20th - 29th Mensuration
Q.233.Thesideofanequilateraltriangle hat is the side (in units) of the square?
W 2 2
1 2 2
(a) 2.5𝑟 (b) 𝑟 (c) 3𝑟 (d) 2𝑟
is 12 cm. What is the area (in cm², SSC CGL 25/07/2023 (4th shift) 2
rounded off to 2 decimal places) ofthe (a) 12.24 (b) 16.62 (c) 14.42 (d) 12.62
.250. A hemispherical bowl has a
Q
t riangle? Given: 3= 1.732 .242. Iftheslantheightofaconeis60
Q radius of 7 cm. It is to be paintedfrom
SSC CGL 24/07/2023 (4th shift) cm and the radius of its baseis21cm, insideaswellasoutside.Findthecostof
(a) 68.07 (b) 63.89 (c) 62.35 (d) 65.23 then find its curved surface area. painting it at the rate of Rs.40 per 20
.234. A ball is to be made with inner
Q 22 cm²? (Takethethicknessofthebowlas
(use π = )
radius of2unitsandoutsideradiusof3 7 negligible).
units. How much material is requiredto SC CGL 26/07/2023 (1st shift)
S SSC CGL 27/07/2023 (1st shift)
make the ball ? (a) 3880 cm2 (b) 3820 cm2 (a) Rs.1,232 (b) Rs.1,125
SSC CGL 24/07/2023 (4th shift) (c) 3960 cm2 (d) 4020 cm2 (c) Rs.1,432 (d) Rs.1,550
19 6
7
(a) π (b)19π (c) π (d)π .243.Whatisthesurfacearea(incm²)
Q Q.251. The length of a hallis21mand
3
3
of a spherical sculpturewhoseradiusis t he widthis14m.Thesumoftheareas
.235. A metallic cube has each of its
Q 22 of the floor and the flat roofisequalto
35 cm ? (Take π = )
side of length 12 cm. It is melted and 7 the sum of the areas of the four walls.
recast into three small cubes. Out of SC CGL 26/07/2023 (2nd shift)
S Find the height of the hall.
these cubes, two have their sides as 6 (a) 16540 (b) 15700 SSC CGL 27/07/2023 (2nd shift)
cmand8cm,respectively.Thelengthof (c) 15400 (d) 14500 (a) 8.4 m (b) 8.2 m (c) 8.6 m (d) 8.8 m
each side of the third cube is:
.244.Theareaofasectorofacircleis
Q Q.252. A circular arc whose radius is 4
SSC CGL 25/07/2023 (1st shift)
110 cm² and the central angle of the m makes an angle 45° at the centre.
c
(a) 7 cm (b) 9 cm (c) 10 cm (d) 5 cm
sector is 56°, what is the radius of the Find the perimeter of the sector formed.
.236.Thefieldis150mlongand80m
Q 22 22
circle? (Take π = ) (Take π = )
7 7
wide.Howmanytimes(roundedoffto1
SC CGL 26/07/2023 (2nd shift)
S SSC CGL 27/07/2023 (3rd shift)
decimal place) is its perimeter to the
(a) 35 cm (b) 20 cm (c) 25 cm (d) 15 cm 78 72
length of its diagonal? (a) m
c (b) m
c
SSC CGL 25/07/2023 (1st shift) 7 7
Q.245. A petrol tank is of length 50 m,
(a) 2.3 (b) 2.5 (c) 2.7 (d) 3.1 74 76
readth 25 m, and depth 10 m. How
b (c) cm (d) cm
7 7
many litres of petrol can be
Q.237.Thelength,breadthandheightof
accommodatedinthepetroltankwhenit Q.253.Thecurvedsurfaceareaofaright
hall are 10 m, 20 m and 15m
a
is completely filled? ircularcylinderofheight56cmis1408
c
respectively. Find the cost of
SSC CGL 26/07/2023 (2nd shift) cm².Findthediameterofthebaseofthe
whitewashing the walls of the inside of
(a) 1,25,00,000 (b) 12,50,000 cylinder.
the hall and ceiling at the rate of
(c) 1,25,000 (d) 12500 SSC CGL 27/07/2023 (3rd shift)
₹10.20/m²
SSC CGL 25/07/2023 (2nd shift) (a) 8m (b) 0.04m (c) 0.08m (d) 0.008m
Q.246. Find the area of an equilateral
(a) ₹13,394 (b) ₹11,220 t riangle whose sides are 16 cm each.
(c) ₹15,320 (d) ₹16,542 SSC CGL 26/07/2023 (3rd shift)
SSC Selection Post (Phase - XI)
.238.What is the area of the sector of a
Q (a) 60 3cm² (b) 62 3cm²
Q.254.Ifthevolumeofacubeisgivenas
circle of radius 8 cm and formed by an (c) 64 3cm² (d) 66 3cm² 2167 cm³, then thesurfaceareaofthe
1
arc of length 12 cm ? cube will be:
SSC CGL 25/07/2023 (3rd shift) Q.247. Ifthesideofacubicalboxis12
Graduate Level 27/06/2023 (Shift - 4)
(a) 45 cm² (b) 47 cm² m, then find its total surface area.
c
(a) 3475 cm² (b) 4574 cm²
(c) 48 cm² (d) 84 cm² SSC CGL 26/07/2023 (3rd shift)
(c) 3174 cm² (d) 5413 cm²
(a) 952 cm² (b) 864 cm²
Q.239.Thecurvedsurfaceareaofasolid (c) 664 cm² (d) 792 cm² .255. What is the side of a cube (in
Q
ircularcylinderofheight12cmis2640
c metres)inwhichanironrodofmaximum
cm². What is the volume (in cm³) of the Q.248.If the volume of a cube is 4096
length 10 metres can be put ?
22 m³, then what is the lengthoftheside
c
cylinder? (Take π = ) Graduate Level 28/06/2023 (Shift - 3)
7 of the cube ?
(a) 5.77 (b) 7.57 (c) 5.57 (d) 7.75
SC CGL 25/07/2023 (3rd shift)
S SSC CGL 26/07/2023 (4th shift)
(a) 46200 (b) 37900 (a) 12 cm (b) 18 cm (c) 16 cm (d) 14 cm .256. The volumeofacylinderis1650
Q
(c) 42000 (d) 55200 m³,whereasthesurfaceareaofitsbase
.249.In the following figure, the length
Q
4
.240. The length of the longest
Q of arc AB is equal to five times of the is 78 m² . Find the height of the
7
diagonal of a cube is 7√3 cm. Find its radius r of the circle. Find the area of
ylinder.
c
volume (in cm³). sector AOB?
Graduate Level 30/06/2023 (Shift - 1)
SSC CGL 25/07/2023 (4th shift) (a) 7.5 m (b) 14 m (c) 21 m (d) 2.1 m
(a) 343√3 (b) 49√3 (c) 334 (d) 343
Q.257.Meltingahemisphereofradius7
.241. A cuboid with sides 4, 6 and 8
Q
m, four small identical spheres are
c
unitsiscoveredwithpaper.Thepaperis
made. What is the radius of these
removed and a square is made from it. SSC CGL 27/07/2023 (1st shift) spheres ?
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Pinnacle Day: 20th - 29th Mensuration
igher Secondary 27/06/2023 (Shift - 3)
H Q.267. The curved surface area of a hat is the radius of the inner circle?
w
(a) 3 cm (b) 3.5 cm (c) 4 cm (d) 4.5 cm ylindricalpillaris528m2 anditsvolume
c SSC MTS 02/05/2023 (Evening)
is 1848 m3. Theratiobetweenitsradius (a) 280 metres (b) 340 metres
.258.What is the volume (in cm3) of a
Q and height is ________. (c) 360 metres (d) 300 metres
hemispherehavingadiameterof21cm? Matriculation Level 30/06/2023 (Shift - 3)
22
(a) 9 : 10 (b) 7 : 12 (c) 7 : 3 (d) 9 : 5 .276. The radius of a right circular
Q
(Takeπ = )
7 cylinder is thrice of its height. If the
igher Secondary 28/06/2023 (Shift - 2)
H Q.268. The radiusofthebaseofasolid height of the cylinder is 3.5 cm. then
(a) 2625.5 (b) 2255.5 r ightcircularconeis20cmanditsheight what is the volume of cylinder?
(c) 1925.5 (d) 2425.5 is 21 cm. What is its total surface area SSC MTS 02/05/2023 (Evening)
(in cm2) ? (a) 1124.25 cm³ (b) 1324.75 cm³
Q.259. The area of the triangle whose
Matriculation Level 30/06/2023 (Shift - 3) (c) 1468.25 cm³ (d) 1212.75 cm³
ides are 3 cm, 5 cm, and 6 cm is:
s
(a) 760π (b) 980π (c) 890π (d) 680π
Higher Secondary 30/06/2023 (Shift - 2) .277.If the area of a square is 529 cm2,
Q
2
(a) 14𝑐 𝑚
2
(b) 2 14𝑐 𝑚 .269. To pack a set of books, Surbhi
Q then what is the length of its diagonal?
2 2 made a carton that was48incheslong, SSC MTS 03/05/2023 (Morning)
(c) 4 14𝑐 𝑚 (d) 3 14𝑐 𝑚
27 inches wide and30inchestall.What (a) 23 cm (b) 26 3 (c) 23 2 (d) 46 cm
.260. The diagonal(incm)ofacuboid
Q will be the total surface area (insquare
with dimensions 9cm× 12cm× 20cm is: feet)ofthiscarton,onceitisclosedfrom .278.Thelengthoftwoparallelsidesof
Q
Higher Secondary 30/06/2023 (Shift - 2) all sides? [Use 1 foot = 12 inches] a trapezium are 15metreand20metre.
(a) 9 (b) 12 (c) 25 (d) 20 Matriculation Level 30/06/2023 (Shift - 4) Ifitsheightis22metre,thenwhatisthe
(a) 49.25 (b) 48.25 (c) 48.75 (d) 49.75 area of the trapezium ?
.261.Findthelengthofadiagonalofa
Q SSC MTS 03/05/2023 (Morning)
cuboid whose dimensions are 12 m, 10 2 2
SSC CHSL 2022 Tier - 2 (a) 295𝑚𝑒𝑡𝑟𝑒 (b) 385𝑚𝑒𝑡𝑟𝑒
m and 8 m. (up to one decimal point) 2 2
(c) 425𝑚𝑒𝑡𝑟𝑒 (d) 315𝑚𝑒𝑡𝑟𝑒
Matriculation Level 27/06/2023 (Shift - 1)
Q.270.Thelengthofarectangularplotis
(a) 18m (b) 16.5m (c) 17m (d) 17.54m .279. The volume of a hemisphere is
Q
t hrice its breadth. If the area of the
rectangularplotis2700m²,thenwhatis 486π cm³. Find the radius.
.262. The internal and external
Q
the breadth of the rectangular plot? SSC MTS 03/05/2023 (Afternoon)
diameters of a hollow hemispherical
SSC CHSL Tier II (26/06/2023) (a) 7 cm (b) 9 cm (c) 4 cm (d) 8 cm
bowlare6cmand10cm,respectively.If
it is melted and recast into a solid (a) 20 m (b) 12 m (c) 30 m (d) 28 m
Q.280.A farmer's land is in the shape of
cylinder of diameter 14 cm, what is the trapezium which has its parallelsides
a
height of the cylinder in cm? SSC MTS 2022 Tier - 1 measuring6.32yardsand7.68yardsand
Matriculation Level 27/06/2023 (Shift - 1) thedistancebetweentheparallelsidesis
(a) 1.1 (b) 1.22 (c) 1.33 (d) 1 Q.271. If the surface area of two 5.50 yards. The cost of ploughing the
pheresisintheratio81:25,thenwhatis
s land is Rs. 1200 per square yard. What
Q.263. The curved surface area of a
the ratio of their radius. amount have to be spent in order to
emisphereis693cm².Itsradiuswillbe
h
SSC MTS 02/05/2023 (Morning) plough the entire land ?
22
__________ .(Takeπ = ) (a) 5 : 8 (b) 7 : 9 (c) 5 : 7 (d) 9 : 5 SSC MTS 03/05/2023 (Afternoon)
7
atriculation Level 27/06/2023 (Shift - 2)
M (a) Rs. 36600 (b) Rs. 32500
Q.272. When a wireisbentintheform
(a) 10.5 cm (b) 9 cm (c) 10 cm (d) 9.5 cm (c) Rs. 55400 (d) Rs. 46200
fasquare,thentheareaenclosedbyit
o
is5929cm².Ifwireisbentintotheform .281. The length of a cuboid is six
Q
.264. The perimeter of an isosceles
Q
of a circle, then what will be the area times of its breadth and theheightofa
right - angled triangle having an areaof
enclosed by the wire? cuboidisfourtimesofitsbreadth.Ifthe
200 cm² is:
SSC MTS 02/05/2023 (Afternoon) breadthofthecuboidis3cm,thenwhat
Matriculation Level 28/06/2023 (Shift - 1)
(a) 7546 cm² (b) 8542 cm² is the total surface area of the cuboid ?
(a) 68.3 cm (b) 78.2 cm
(c) 7632 cm² (d) 6954 cm² SSC MTS 03/05/2023 (Evening)
(c) 70.6 cm (d) 58.6 cm
(a) 484 cm2 (b) 612 cm2
.273. What will be the area of the
Q
.265.Asolidspherehasasurfacearea
Q (c) 576 cm 2
(d) 676 cm2
semi-circle of perimeter 3.6 meters?
of 616 cm². This sphere isnowcutinto
SSC MTS 02/05/2023 (Afternoon) Q.282.Theratioofradiiofacylindertoa
two hemispheres. What is the total
(a) 1.54 m² (b) 1.76 m² one is 3 : 1. If their heights are equal,
c
surface area of one of the hemispheres?
(c) 1.10 m² (d) 0.77 m² What is the ratio of their volumes?
Matriculation Level 28/06/2023 (Shift - 1)
(a) 440 cm² (b) 462 cm² SSC MTS 03/05/2023 (Evening)
.274.Whatwillbethelength(incm)of
Q
(c) 452 cm² (d) 390 cm² (a) 1 : 3 (b) 27 : 1 (c) 9 : 1 (d) 1 : 9
thelongestdiagonalofthecuboidhaving
length13cm, width11cmandheight20 Q.283.Find the area of triangle having
.266. A solid iron sphere of radius 21
Q
cm? ase 34 cm and corresponding height as
b
cmismelteddownintoaconeofheight
SSC MTS 02/05/2023 (Evening) 22 cm.
84 cm. What will be the radius of the
(a) 23.45 (b) 26.27 (c) 34.65 (d) 22.65 SSC MTS 04/05/2023 (Morning)
cone ?
Matriculation Level 28/06/2023 (Shift - 4) (a) 453 cm² (b) 374 cm²
Q.275. The ratio of the outer and the
(a) 24 cm (b) 28 cm (c) 32 cm (d) 21 cm (c) 234 cm² (d) 378 cm²
inner circumference of acircularpathis
17 : 15. If path is 40 metres wide, then
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Pinnacle Day: 20th - 29th Mensuration
Q.284.Theratioofthesidesofatriangle (c) 990 cm² (d) 1024 cm² Q.302. Find the weight of a cylindrical
is 11 : 11 : 4. If the area of triangle is iron container with base radius12.6cm
Q.293. What is the area of a triangle
117 cm² , then whatisthelengthof
2 andheightis4m,wheretheweightof1
hose base is 120 cm and the
w
the equal sides? cm³ of iron is 2 grams ?
corresponding height is 35 cm?
SSC MTS 04/05/2023 (Morning) SSC MTS 10/05/2023 (Morning)
SSC MTS 08/05/2023 (Evening)
(a) 3 cm (b) 13 cm (c) 11cm (d) 9 cm (a) 299.284 kg (b) 199.584 kg
(a) 2120 cm² (b) 2100 cm²
(c) 399.168 kg (d) 499.482 kg
Q.285. The two adjacent sides of a (c) 2010 cm² (d) 2630 cm²
arallelogram are 12 cm and 5 cm
p .303. Sides ofatriangleare20cm,48
Q
.294. The radius of the base of a
Q
respectively.Ifoneofthediagonalsis13 cm and 52 cm. What is the area of the
conicaltentis8manditsheightis15m,
cm long, then what is the area of the triangle ?
what is the cost of the material needed
parallelogram? SSC MTS 10/05/2023 (Afternoon)
to make it if it costs Rs.54 perπ m² ? 2 2
SSC MTS 04/05/2023 (Afternoon) SSC MTS 08/05/2023 (Evening) (a) 320𝑐 𝑚 (b) 480𝑐 𝑚
(a) 60 cm2 (b) 30 cm2 (a) Rs.6454 (b) Rs.7344 (c) 560𝑐 𝑚
2
(d) 245𝑐 𝑚
2
2
(c) 75 cm (d) 25 cm2 (c) Rs.8678 (d) Rs.7454
Q.304. Find the area of the Kite whose
.286. What is the area of acirclewith
Q .295. The Largest possible sphere is
Q iagonals are 22 cm and 6 cm.
d
diameter 12 mm? carvedoutofacubeofside6cm.What SSC MTS 10/05/2023 (Afternoon)
SSC MTS 04/05/2023 (Afternoon) is the volume of the sphere ? (a) 66 cm² (b) 100 cm²
(a) 12π mm2 (b) 24π mm2 SSC MTS 09/05/2023 (Morning) (c) 88 cm² (d) 50 cm²
2
(c) 36π mm (d) 48π mm2 792 144
(a) m³
c (b) m³
c ind the area of the triangle
Q.305. F
7 7
.287. A solid cylinder having radius of
Q hose h
w eight is 56 cm and the
133 444
base as 21 cm and height as 16 cm is (c) cm³ (d) cm³
1
3 7
bisected from its height to get two corresponding base is th of the height.
4
identical cylinders. What will be the Q.296. Find the area of the rhombus SC MTS 10/05/2023 (Evening)
S
percentage increase in the totalsurface hose diagonals are 16 cm and 20 cm.
w (a) 544 cm² (b) 440 cm²
area ? SSC MTS 09/05/2023 (Morning) (c) 392 cm² (d) 480 cm²
SSC MTS 04/05/2023 (Evening) (a) 110 cm² (b) 150 cm²
(a) 56.76 percent (b) 42.52 percent (c) 160 cm² (d) 120 cm² .306. There is a rectangular gardenof
Q
(c) 62.34 percent (d) 48.88 percent 150metres×25metres.Apathofwidth
Q.297. Two cubes of iron whose edges 10 metres is built around the garden.
.288. What will be the curved surface
Q re 7 cm and 11 cm are melted and
a What is the area of the path?
areaofcylinderhavingradius20cmand formed into a single cube. Find the SSC MTS 10/05/2023 (Evening)
height 34 cm? (useπ= 3.14) volume (in cm³ ) of the new cube formed. (a) 3700 metre2 (b) 3550 metre2
SSC MTS 04/05/2023 (Evening) SSC MTS 09/05/2023 (Afternoon) (c) 3900 metre2 (d) 3220 metre2
(a) 3245.7 cm² (b) 4328.98 cm² (a) 1881(b) 1674 (c) 1444 (d) 1221
(c) 4270.4 cm² (d) 4320.6 cm² Q.307. The outer radius of a spherical
.298. A rectangle has sides of 45 cm
Q hell is 13 cm and the thickness of the
s
.289. A cuboid whose sides are 8cm,
Q and 55 cm. Whatisthearea(incm²)of shell is 3cm.Whatisthevolumeofthe
27 cm and 64 cm is melted to form a this rectangle ? 22
newcube.Whatistherespectiveratioof SSC MTS 09/05/2023 (Afternoon) metal used for the shell? (π = )
7
the total surface areaofthecuboidand (a) 2675 (b) 2475 (c) 2550 (d) 2350 SC MTS 11/05/2023 (Morning)
S
cube ? (a) 1197 cm³ (b) 2197 cm³
SSC MTS 08/05/2023 (Morning) Q.299. Length of a rectangle is 58
(c) 3024 cm³ (d) 5016 cm³
(a) 307: 216 (b) 291: 203 eters, while its breadth is 30 meters.
m
(c) 349: 248 (d) 329: 237 What isthetotalcostofcoveringitwith Q.308. What is the area of a square
grass bed if cost is Rs. 20 per m2 ? whose diagonal is 5 2cm ?
.290. A wire is in the form of square
Q SSC MTS 09/05/2023 (Evening) SC MTS 11/05/2023 (Morning)
S
with side 44 cm. It is bent to form a (a) Rs. 34800 (b) Rs. 32400 (a) 64 cm² (b) 25 cm²
circle. What is the radius of the circle? (c) Rs. 28500 (d) Rs. 17400 (c) 100 cm² (d) 36 cm²
SSC MTS 08/05/2023 (Morning)
(a) 28 cm (b) 21 cm (c) 16 cm (d) 32 cm .300. If the volume of a cube is 5832
Q Q.309. What will be the approximately
cm3, thenwhatisthelateralsurfacearea v olume of sphere with radius 65 cm ?
1 of this cube ? SSC MTS 11/05/2023 (Afternoon)
Q.291. Find th of the volume of a
21 SSC MTS 09/05/2023 (Evening) (a) 4.5 × 106 cm³ (b) 6 × 106 cm³
emisphere whose radius is 4.2 m
h (a) 1024 cm2 (b) 384 cm2 (c) 1.15 × 10 cm³ (d) 2 × 106 cm³
6
SSC MTS 08/05/2023 (Afternoon) (c) 576 cm 2
(d) 1296 cm2
(a) 6.6 m³ (b) 7.3 m³ (c) 8.2 m³ (d) 7.1 m³ .310. What is the volume of a cone
Q
.301. Find the total surface area of
Q whose base diameter is 12 cm and the
.292.Two cubes each of edge 9 cm are
Q cuboid having length 23 cm,breadth18 height is 21.7 cm ?
joined to form a single cuboid. What is cm and height 35 cm. SSC MTS 11/05/2023 (Afternoon)
the total surface area of the cuboid SSC MTS 09/05/2023 (Evening) (a) 626.3 cm³ (b) 548.6 cm³
formed ? (a) 6541 cm2 (b) 2341 cm2 (c) 818.4 cm³ (d) 334.5 cm³
SSC MTS 08/05/2023 (Afternoon) (c) 3698 cm2
(d) 5436 cm2
(a) 775 cm² (b) 810 cm²
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Pinnacle Day: 20th - 29th Mensuration
Q.311.A picture is 40 cm wide and 1.6 m ( a) 388 cm² ( b) 308 cm² Q.330. How many litre of water can a
long. The ratio of its width to its (c) 408 cm² (d) 288 cm² emispherical bowl of diameter 21 m
h
perimeter is : hold? (1m³ - 1000 litre)
Q.321. A sphere of radius 18 cm is
SSC MTS 11/05/2023 (Evening) SSC MTS 16/05/2023 (Afternoon)
elted andthenasolidcylinderofbase
m
(a) 4 : 1 (b) 10 : 1 (c) 1 : 10 (d) 1 : 4 (a) 2100000 litre (b) 2425500 litre
radius 4 cm is made from it. What is the
(c) 2322500 litre (d) 2250500 litre
.312.Thelateralareaisthriceasbigas
Q height of the solid cylinder?
the base area ofacone.Ifthediameter SSC MTS 15/05/2023 (Morning) Q.331. A solid cylinder having radius of
of the cone is 1 cm, then what is the total (a) 196 cm (b) 486 cm ase as 28 cm and height as 24 cm is
b
surface area of the cone ? (c) 224 cm (d) 384 cm bisected from its height to get two
SSC MTS 11/05/2023 (Evening) identical cylinders. What will be the
Q.322.Ametallicsolidspherehasradius
(a) π cm2 (b) 3πcm2 (c) 2π cm2 (d) 4π cm2 percentage increase in the totalsurface
8 cm. If it is melted to form small
2
area ?
.313. The circumference of a circle is
Q spheresofradius3.5cm,thenhowmany
SSC MTS 17/05/2023 (Morning)
220 cm. What is the area of that circle ? small spheres will be obtained ?
(a) 61.72 percent (b) 41.92 percent
SSC MTS 11/05/2023 (Evening) SSC MTS 15/05/2023 (Morning)
(c) 53.85 percent (d) 48.64 percent
(a) 3850 cm2 (b) 4550 cm2 (a) 512 (b) 624 (c) 496 (d) 424
2
(c) 2850 cm (d) 4650 cm2 Q.332. The height and curved surface
Q.323. The radius of a hemisphere is 5
rea of the cylinder are 15 cm and 330
a
3 cm. Find the volume. (in cm³)
Q.314. If theradiusofasphereis of cm². Find the diameter of the cylinder.
4 SSC MTS 15/05/2023 (Afternoon)
SSC MTS 17/05/2023 (Morning)
t he radius of a hemisphere, then what (a) 330.4 (b) 117.9 (c) 150.6 (d) 261.9
(a) 2 cm (b) 5 cm (c) 7 cm (d) 6 cm
willbetheratioofthevolumesofsphere
and hemisphere ? .324.Iftheheightsoftwocylindersare
Q
Q.333. The length, breadth, height of a
SSC MTS 12/05/2023 (Morning) in the ratio of 7 : 9 and their diameters
r oomare6m40cm,4m80cmand3m
(a) 9:16 (b) 51 : 64 (c) 27 : 32 (d) 18:64 are in the ratioof6:7,thenwhatisthe
20cmrespectively.Findthelongesttape
ratio of the volumes of the cylinders ?
which can measure the dimensions of
Q.315. The area of the base of a SSC MTS 15/05/2023 (Afternoon)
the room exactly.
r ectangular tank is 720 m² and the (a) 6 : 7 (b) 7 : 9 (c) 5 : 9 (d) 4 : 7
SSC MTS 17/05/2023 (Morning)
volumeofwatercontainedinitis28800
Q.325. If the curved surface area of a (a) 1 m 80 cm (b) 1 m 20 cm
m³. What is the depth of the water ?
olid cylinder is two-fifth of its total
s (c) 1 m 60 cm (d) 1 m 40 cm
SSC MTS 12/05/2023 (Morning)
(a) 30 m (b) 40 m (c) 50 m (d) 60 m surfacearea,thenwhatistheratioofits
Q.334. A solid hemisphere of radius 8
diameter to its height ?
mismeltedintoNidenticalconewhose
c
Q.316. The radius of a wheel is 21 cm. SSC MTS 15/05/2023 (Evening)
radiusis4cmandheightis2cm.Then,
hatisthedistance(incm)travelledby
W (a) 2 : 5 (b) 1 : 2 (c) 2 : 3 (d) 3 : 1
what is the value of N ?
the wheel in 20 revolutions ?
Q.326. Ifthecircumferenceofacircleis SSC MTS 17/05/2023 (Afternoon)
SSC MTS 12/05/2023 (Afternoon)
3.2 cm, then what is its radius?
1 (a) 26 (b) 10 (c) 32 (d) 25
(a) 1440 (b) 1500 (c) 2640 (d) 2100
SSC MTS 15/05/2023 (Evening)
Q.335.Acuboidisofdimensions80cm
.317. Height of a cone is 12 cm and
Q (a) 1.7 cm (b) 6 cm (c) 21 cm (d) 2.1 cm
× 64 cm × 50 cm How many small
radius of its base is 14cm.Whatisthe
Q.327. Difference between the cubes with side 8 cm can be placed in
volume of the cone?
ircumferences of two circles is 4.4cm
c the given cuboid ?
SSC MTS 12/05/2023 (Afternoon)
andradiusofthesmallercircleis1.4cm. SSC MTS 17/05/2023 (Afternoon)
(a) 2464 cm³ (b) 2692 cm³
The radius of the larger circle is: (a) 480 (b) 700 (c) 1000 (d) 200
(c) 2248 cm³ (d) 2872 cm³
SSC MTS 16/05/2023 (Morning)
Q.336. If the diameter of a circle is 14
.318.Sidesofatriangleare6cm,8cm
Q (a) 4.1 cm (b) 0.7 cm
m, find the area of the sector of the
c
and 10 cm. What is the area of the (c) 2.1 cm (d) 3.5 cm
circle whose central angle measure 60
triangle ?
.328.Theheightofarightcircularcone
Q degree.
SSC MTS 12/05/2023 (Afternoon)
is24cm.Ifthediameterofitsbaseis36 SSC MTS 17/05/2023 (Afternoon)
(a) 20 cm² (b) 28 cm²
cm,thenwhatwillbethecurvedsurface (a) 18.12 cm² (b) 25. 66 cm²
(c) 24 cm² (d) 16 cm²
area of the cone? (c) 38.12 cm² (d) 21.66 cm²
.319.Iftheratioofthevolumesoftwo
Q SSC MTS 16/05/2023 (Morning)
Q.337. The ratio of the outer and the
cylinders is 6: 5 and the ratio of their (a) 1444.6 cm² (b) 2400.9 cm²
innercircumferencesofacircularpathis
heightsis5:24,thenwhatistheratioof (c) 1697.14 cm² (d) 2144.2 cm²
11 : 7
. If path is 20 metres wide, then
their radii ?
Q.329. Nine timestheareaofacircleis what is the radius of the inner circle ?
SSC MTS 12/05/2023 (Evening)
ame as the three times the area of a
s SSC MTS 17/05/2023 (Evening)
(a) 12 : 7 (b) 5 : 6 (c) 1 : 2 (d) 12 : 5
square.Whatistheratioofthediameter (a) 20 metres (b) 55 metres
.320. What is the area of the lateral
Q of the circle and diagonal of the square? (c) 65 metres (d) 35 metres
surface of a rightcircularcylinder,Ifthe SSC MTS 16/05/2023 (Afternoon)
Q.338. The longest side of the obtuse
circumference of thebaseis22cmand (a) 2: 3π (b) 2 : 3π t riangle is 7cmandtheothertwosides
its height is four times of its radius?
(c) 2 : 3π (d) 5: 7π of the triangle are 4 cm and5cm.Find
SSC MTS 12/05/2023 (Evening)
the area of the triangle.
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Pinnacle Day: 20th - 29th Mensuration
SC MTS 18/05/2023 (Morning)
S 6.50 yards. The cost of ploughing the SC MTS 14/06/2023 (Evening)
S
(a) 1√3 cm² (b) 6√3 cm² land is Rs. 2000 per square yard. What (a) 92 cm² (b) 68 cm²
(c) 3√2 cm² (d) 4√6 cm² amount have to be spent in order to (c) 180 cm² (d) 76 cm²
plough the entire land ?
Q.339. The circumference of base of a SSC MTS 13/06/2023 (Morning) Q.356. Find out the area of triangle of
ylinder is 28π cm. If the height of
c (a) Rs. 85000 (b) Rs. 91000 ase 7 cm andcorrespondingheight12
b
cylinder is 17 cm, then what will bethe (c) Rs. 72000 (d) Rs. 102000 cm.
curved surface area of cylinder? SSC MTS 15/06/2023 (Morning)
SSC MTS 18/05/2023 (Afternoon) .348. The ratio of the volume of two
Q (a) 42 cm² (b) 54 cm²
(a) 372π cm² (b) 436π cm² cylinders is 13 : 1 and the ratio oftheir (c) 43 cm² (d) 44 cm²
(c) 524π cm² (d) 476π cm² heightsis13:9.Iftheareaofthebaseof
the second cylinder is 154 cm², then .357. Two cubes each of edge 14 cm
Q
.340. Find the curved surface area of
Q what will be the radius of the first are joinedtoformasinglecuboid.What
coneofradius12cmandslantheight14 cylinder ? is the volume of the cuboid formed?
cm. (Useπ= 3.14) SSC MTS 13/06/2023 (Afternoon) SSC MTS 15/06/2023 (Afternoon)
SSC MTS 18/05/2023 (Afternoon) (a) 42 cm (b) 21 cm (c) 28 cm (d) 14 cm (a) 5022 cm³ (b) 5244 cm³
(a) 4325.5 cm² (b) 527.52 cm² (c) 5666 cm³ (d) 5488 cm³
(c) 5436.6 cm² (d) 501.54 cm² .349.What will be the curved surface
Q
area of cone of radius 5 cm and slant .358.The length of a cuboid is 4 cm. If
Q
.341. How many solid spherical balls
Q height 30 cm? (useπ = 3.14) thebreadthofthecuboidisfourtimesof
eachof33cmradiuscanbemadeoutof SSC MTS 13/06/2023 (Afternoon) its length and height of the cuboid is
a solid spherical ball of radius 66 cm? (a) 234 m² (b) 715 m² twice of its length, then what is the
SSC MTS 18/05/2023 (Evening) (c) 543 m² (d) 471 cm² lateral surface area of the cuboid?
(a) 8 (b) 4 (c) 7 (d) 3 SSC MTS 15/06/2023 (Afternoon)
.350.Thelengthoftwoparallelsidesof
Q (a) 380 cm² (b) 440 cm²
.342. If the diagonalofasquareis18.4
Q a trapezium are 25metreand30metre. (c) 260 cm² (d) 320 cm²
cm, then the area of that square is:(in cm²) Ifitsheightis20metre,thenwhatisthe
SSC MTS 18/05/2023 (Evening) area ( in metre² ) of the trapezium ? Q.359. One of the diagonals of a
(a) 84.64 (b) 338.56 (c) 324.42 (d) 169.28 SSC MTS 13/06/2023 (Evening) r hombus is 70 percent of the other
(a) 420 (b) 350 (c) 590 (d) 550 diagonal.Whatistheratiooftheareaof
.343.Ifthevolumeofacylinderis5000
Q rhombus to the square of the length of
m3 and itsradiusis10meter,thenwhat Q.351. If the radius of a cylinder is the larger diagonal?
is the approximate curved surface area ecreased by 12 percent, then by how
d SSC MTS 15/06/2023 (Evening)
of the cylinder ? (π = 3.14) much percent its height must be (a) 5 : 17 (b) 7 : 20 (c) 6 : 19 (d) 20 : 7
SSC MTS 19/05/2023 (Morning) increased so that the volume of the
(a) 954 m² (b) 1024 m² cylinder remains same ? .360. If the radius of a cylinder is
Q
(c) 1000 m² (d) 968 m² SSC MTS 14/06/2023 (Morning) decreased by 16 percent, then by how
(a) 29.13 percent (b) 21.78 percent much percent its height must be
Q.344.Aconeandacylinderhavesame increased, so that the volume of the
(c) 42.56 percent (d) 34.27 percent
eightandtheradiusoftheconeistwice
h cylinder remains the same ?
of theradiusofthecylinder.Whatisthe Q.352.If the ratio of the volumes of two SSC MTS 15/06/2023 (Evening)
ratioofthevolumeoftheconetothatof ylinders is 7 : 5 and the ratio of their
c (a) 32.96% (b) 41.72%
the cylinder? heights is 5:7,thenwhatistheratioof (c) 45.28% (d) 36.43%
SSC MTS 19/05/2023 (Afternoon) their radii?
(a) 2 : 5 (b) 4 : 5 (c) 3 : 2 (d) 4 : 3 SSC MTS 14/06/2023 (Morning) .361. The ratio of the volume of two
Q
(a) 7 : 5 (b) 3 : 4 (c) 5 : 9 (d) 4 : 5 cylinders is27:25andtheratiooftheir
Q.345. The difference between the heightsis3:4.Iftheareaofthebaseof
length and breadth of a rectangle is 40 .353. The radius of a right circular
Q the second cylinder is 3850 cm², then
metres.Ifitsperimeteris96metres,then cylinder is 7 cm. Its height is thrice its what will be the radius of the first
what will be the area of rectangle? radius. What is the curved surface area cylinder?
SSC MTS 19/05/2023 (Evening) of the cylinder ? SSC MTS 16/06/2023 (Morning)
(a) 254 metre² (b) 110 metre² SSC MTS 14/06/2023 (Afternoon) (a) 42 cm (b) 56 cm (c) 63 cm (d) 34 cm
(c) 176 metre² (d) 152 metre² (a) 724 cm² (b) 666 cm²
(c) 924 cm² (d) 264 cm² Q.362. The sum of the length and
.346. Theareaofarectangularflooris
Q readth of a cuboid is 16 cm. If the
b
600squarefeet.Ifthelengthofthefloor Q.354.Theratioofthesidesofatriangle
1
is30feet,thenwhatisthebreadthofthe heightofthecuboidis ofthesumof
is3:3:4.Iftheareaoftriangleis32 5 4
floor ? its length and breadth, then what is the
cm²,thenwhatisthelengthoftheequal
SSC MTS 19/05/2023 (Evening) lateral surface area of the cuboid ?
sides ?
(a) 20 feet (b) 60 feet SSC MTS 16/06/2023 (Afternoon)
SSC MTS 14/06/2023 (Evening)
(c) 30 feet (d) 10 feet (a) 128 cm² (b) 196 cm²
(a) 12 cm (b) 16 cm (c) 10 cm (d) 15 cm
(c) 96 cm² (d) 156 cm²
Q.347.Afarmer'slandisintheshapeof
Q.355.Asquareparkhassidesoflength
trapezium which has its parallelsides
a .363. The radius of two spheres is in
Q
8 cm. A 1 cm wide path along the
1
measuring7.58yardsand6.42yardsand theratioof1:5.Whatistheratioofthe
edgesisinsideit.Whatistheareaofthe
thedistancebetweentheparallelsidesis volume of the two spheres?
path?
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Pinnacle Day: 20th - 29th Mensuration
SC MTS 16/06/2023 (Afternoon)
S Q.372. The sum of the length and t hetotalsurfaceareaofcuboidis256sq
(a) 8 : 27 (b) 1 : 25 (c) 1 : 125 (d) 1 : 64 readth of a cuboid is 40 cm. If the
b . cm. What is the maximum length (in
1 approximate) of a stick that can be
.364. Thelengthofacuboidis10cm.
Q heightofthecuboidis ofthesumof
5 placed inside the cuboid box ?
If thebreadthofthecuboidishalfofits its length and breadth, then what is the SSC CHSL 13/03/2023 (2nd Shift)
length and height of thecuboidistwice lateral surface area of the cuboid? (a) 32 cm (b) 24 cm (c) 16 cm (d) 12 cm
of its length, then what is the lateral SSC MTS 20/06/2023 (Evening)
surface area of the cuboid? (a) 580 cm² (b) 320 cm² .380. X, Y and Z are three equilateral
Q
SSC MTS 16/06/2023 (Evening) (c) 640 cm² (d) 720 cm² triangles.ThesumoftheareasofXand
(a) 600 cm² (b) 500 cm² Y is equal to the area of Z. If the side
(c) 720 cm² (d) 560 cm² lengths of X and Y are 6 cm and 8 cm
SSC CHSL 2022 Tier - 1
respectively,thenwhatisthesidelength
Q.365.Thelength,breadthandheightof of Z ?
cuboid are 4 cm, 6 cm a
a nd 10 cm Q.373.Find the area of a triangle whose
SSC CHSL 13/03/2023 (2nd Shift)
respectively. Find the total surface area. length of each side is 13 inches, 15
(a) 10.5 cm (b) 10 cm (c) 9.5 cm (d) 9 cm
SSC MTS 19/06/2023 (Morning) inches and 14 inches.
2 2 SSC CHSL 09/03/2023 (1st Shift) .381.AnincirclewithcenterOisdrawn
Q
(a) 248𝑐 𝑚 (b) 244𝑐 𝑚
2 2 (a) 84 square inches insideanequilateraltriangleABCandthe
(c) 144𝑐 𝑚 (d) 222𝑐 𝑚 (b) 81.2 square inches lengthofthesideis12cm.Findthearea
.366. There is a rectangular gardenof
Q (c) 42.1square inches (insq.cm)ofthetrianglewhichisnotin
220m×70m.Apath4mwidehasbeen (d) 84.2 square inches the incircle.
made around the garden. What is the SSC CHSL 13/03/2023 (2nd Shift)
Q.374. The circumference of base of a
area of the path? (a) 21.48 (b) 30.64 (c) 37.71 (d) 24.64
r ightcircularconeis88cm.Iftheheight
SSC MTS 19/06/2023 (Afternoon) of the cone is 28 cm, then what is the .382.Thelength,widthandheightofa
Q
(a) 1836 metre² (b) 2384 metre² curved surface area of the cone ? cuboidal box are 18 cm, 12 cm and 10
(c) 2162 metre² (d) 2472 metre² SSC CHSL 09/03/2023 (2nd Shift) cm, respectively. What is the total
2 2
Q.367. The curved surface area of a (a) 670 3𝑐 𝑚 (b) 616 5𝑐 𝑚 surface area of the box?
2 2 2 SSC CHSL 13/03/2023 (3rd Shift)
ylinder is 968 𝑐 𝑚 . If the height of the
c (c) 627 3𝑐 𝑚 (d) 561 5𝑐 𝑚
(a) 1000 cm² (b) 1048 cm²
cylinder is 11 cm, then what will bethe
Q.375.Iftheratioofthevolumesoftwo (c) 1032 cm² (d) 1120 cm²
diameter of its base ?
ylinders is 6 : 1 and the ratio of their
c
SSC MTS 19/06/2023 (Evening) Q.383. What is the area of a rhombus
heights is 1:6,thenwhatistheratioof
(a) 26 cm (b) 22 cm (c) 28 cm (d) 24 cm hose diagonals are of 8 cm and 13 cm?
w
their radii ?
SSC CHSL 13/03/2023 (4th Shift)
Q.368. The length of a cuboidishalfof SSC CHSL 10/03/2023 (1st Shift)
2 2
its breadth and the height of cuboid is (a) 9 : 1 (b) 3 : 1 (c) 8 : 1 (d) 6 : 1 (a) 52𝑐 𝑚 (b) 96𝑐 𝑚
2 2
thriceofitsbreadth.Ifthebreadthofthe (c) 44𝑐 𝑚 (d) 84𝑐 𝑚
.376. If the radius of the sphere is
Q
cuboid is 12 cm, then what is the total
decreasedby10percent,then volumeof Q.384. If theradiusofasphereisthrice
surface area of cuboid ?
the sphere will be decreased by what t han the radius of a hemisphere, then
SSC MTS 20/06/2023 (Morning)
p ercentage ? what will be the respectiveratiooftheir
(a) 1680 cm2 (b) 1320 cm2
SSC CHSL 10/03/2023 (1st Shift) volumes ?
(c) 1440 cm2 (d) 1560 cm2
(a) 32.5 percent (b) 30.6 percent SSC CHSL 14/03/2023 (1st Shift)
Q.369. The perimeter of the top of a (c) 25.6 percent (d) 27.1 percent (a) 27 : 1 (b) 16 : 1 (c) 54 : 1 (d) 18 : 1
r ectangulartableis56meteranditsarea
.377. Three circles of radius 7 cmare
Q Q.385.Theratioofthevolumeofthefirst
is 192 meter2.. What is the length ofits
placed in such a way that each circle nd second cylinder is 32 : 9 and the
a
diagonal ?
touches the other two. What will bethe ratiooftheirheightsis8:9.Iftheareaof
SSC MTS 20/06/2023 (Morning)
area of the portion enclosed by these the base of the second cylinder is 616
(a) 22 metre (b) 20 metre
three circles ? cm², then what will be the radiusofthe
(c) 16 metre (d) 18 metre
SSC CHSL 10/03/2023 (3rd Shift) first cylinder ?
.370. Find the surface area of a
Q (a) 49 3– 77𝑐 𝑚
2
(b) 40 3– 66𝑐 𝑚
2
SSC CHSL 14/03/2023 (2nd Shift)
spherical ball that has a radius of 1.1 cm. 2 2 (a) 24 cm (b) 20 cm (c) 28 cm (d) 36 cm
(c) 50 3– 66𝑐 𝑚 (d) 55 3– 77𝑐 𝑚
SSC MTS 20/06/2023 (Afternoon)
(a) 16 cm² (b) 12.1 cm² Q.386. Half of the perimeter of a
.378. There is a rectangular gardenof
Q
(c) 11.2 cm² (d) 15.2 cm² r ectangle is 30 cm. If the length of the
240metres×80metres.Apathofwidth
rectangle is 6cmmorethanitsbreadth,
4 metres is build outside the garden
Q.371. If the area of non-spherical then what is the area of the rectangle?
along its four sides. Whatistheareaof
ortionofasolidhemisphereis1560m²,
p SSC CHSL 14/03/2023 (4th Shift)
the path ?
then the total surface area of the 2 2
SSC CHSL 10/03/2023 (4th Shift) (a) 216𝑐 𝑚 (b) 250𝑐 𝑚
hemisphere is: 2 2
(a) 2826 metre² (b) 2542 metre² (c) 185𝑐 𝑚 (d) 195𝑐 𝑚
SSC MTS 20/06/2023 (Afternoon)
(c) 2916 metre² (d) 2624 metre²
(a) 6240 m² (b) 4680 m²
Q.387. 24 equal solid hemispheres are
(c) 5140 m² (d) 3120 m² .379.The sum of the length, breadth,
Q eltedtoformarightcircularcylinderof
m
and height of a cuboid box is 20 cm and radius 12 cm and height 24 cm. Find the
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r adius of each solid hemisphere. SC CHSL 17/03/2023 (1st Shift)
S SSC CHSL 21/03/2023 (2nd Shift)
SSC CHSL 15/03/2023 (1st Shift) (a) 2002 m² (b) 2010 m² (a) 2 231cm2 (b) 4 231cm2
(a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm (c) 1890 m² (d) 1990 m² 2
(c) 4 462cm (d) 8 462cm2
.388.Thethreesidesofatriangleare7
Q Q.396. Findtheareaofthecirclewhose
.404.Threemetalliccubeswhosesides
Q
cm, 9 cmand8cm.Whatistheareaof ircumference is 22 cm.
c
are 6 cm, 8 cm and 10 cm respectively
the triangle ? SSC CHSL 17/03/2023 (1st Shift)
are melted and converted into a single
SSC CHSL 15/03/2023 (1st Shift) (a) 38.5 cm² (b) 42 cm²
cube. If there is no lossofmetalinthis
(a) 12 5Sq . cm (b) 10 3Sq . cm (c) 30 cm² (d) 77 cm²
process, then what is the length of the
(c) 12 3Sq . cm (d) 2 5 Sq . cm .397. Parallel sides of atrapeziumare
Q side of the new cube?
21 cm and 14 cm and its area is 875 SSC CHSL 21/03/2023 (3rd Shift)
.389. If the square of productofthree
Q (a) 16 cm (b) 14 cm (c) 12 cm (d) 20 cm
cm². What is the distance between
sidesofthetriangleis1024unitsandthe
parallel sides?
area of its circumcircle is 16π, what is
SSC CHSL 17/03/2023 (3rd Shift) SSC CGL 2022 Tier - 2
the area of the given triangle ?
(a) 45 cm (b) 50 cm (c) 60 cm (d) 65 cm
SSC CHSL 15/03/2023 (1st Shift)
.405.Whatisthevolumeofthelargest
Q
(a) 2 sq . units (b) 3 sq . units .398. If the heights of two cylinders are
Q sphere that can be carved o ut of a
(c) 2.5 sq . units (d) 4 sq . units in the ratio of 2 : 3 and their-radius are in 22
the ratio of 6 : 5, then what is the ratio of wooden cube of sides 21 cm? (π = )
Q.390.The breadth of a rectangular floor 7
3
the volumes of the cylinders ? SSC CGL Tier II (02/03/2023)
is ofitslength.Iftheareaofthefloor SSC CHSL 17/03/2023 (4th Shift) 3 3
5 (a) 3851𝑐 𝑚 (b) 6858𝑐 𝑚
2 (a) 24 : 29 (b) 21 : 31 3 3
is 60𝑚𝑒𝑡𝑟𝑒 ,thenwhatisthedifference (c) 4851𝑐 𝑚 (d) 5821𝑐 𝑚
(c) 24 : 25 (d) 28 : 31
between the length and breadth of the
floor ? .399. The s
Q um of the length and Q.406. Arectangularparkis120mlong
SSC CHSL 15/03/2023 (2nd Shift) breadth of a cuboid is 4 cm. Length is nd104mwide.A1-mwidepathruns
a
(a) 6 m (b) 7.5 m (c) 5 m (d) 4 m three times of breadth. If the height of along the boundary of the park,
thecuboidishalfofthesumofitslength remaining completely inside the park
.391.Howmanybrickseachmeasuring
Q area.Thus,theoutsideedgesofthepath
and breadth, then what is the total
25cm× 12.5cm× 16cmwillbeneeded run along theboundarywallofthepark.
surface area of the cuboid ?
to construct a wall 8 m long , 5mhigh Theinsideedgesofthepatharemarked
SSC CHSL 20/03/2023 (2nd Shift)
and 22.5 cm thick ? with a white lineofnegligiblethickness.
(a) 64 cm² (b) 22 cm2
SSC CHSL 15/03/2023 (3rd Shift) 2 Ifitcosts₹2.50tomarkeachmetrewith
(c) 32 cm (d) 30 cm2
(a) 1800 (b) 3600 (c) 1200 (d) 2400 the white line, then how much would it
.400.TheareaofasquareIs1156cm2
Q cost(in₹)tofullymarktheinsideedges
.392. A solid cylinder having r adius of
Q
.Whatistherespectiveratiobetweenthe of the path ?
base as 7 cm and height as 5 cm is
length and the breadth of a rectangle SSC CGL Tier II (02/03/2023)
bisected from its height to get two
whose length is twice the side of the (a) 1090 (b) 1080 (c) 1120 (d) 1100
identical cylinders. What will be the
squareandwhosebreadthis14cmless
percentage increase in the totalsurface Q.407. A hemispherical bowl ofinternal
than the side of the square?
area? r adius18cmisfullofliquid.Thisliquidis
SSC CHSL 20/03/2023 (4th Shift)
SSC CHSL 16/03/2023 (2nd Shift) to be filled in cylindrical bottleseachof
(a) 16 : 7 (b) 19 : 5 (c) 17 : 5 (d) 21 : 19
(a) 58.33 percent (b) 64.56 percent radius3cmandheight6cm.Howmany
(c) 69.44 percent (d) 52.56 percent .401. In triangle ABC, AB=20 cm, BC=
Q bottles are required to empty the bowl?
16cmandAC=12cmandtheradiusof SSC CGL Tier II (03/03/2023)
.393. If the volume of a cube is 1728
Q
circle inscribed in it is 4 cm. Find the area (a) 72 (b) 70 (c) 68 (d) 66
cm³, then what is the totalsurfacearea
of triangle ABC.
of the cube? Q.408.Whatisthetotalsurfaceareaofa
SSC CHSL 21/03/2023 (1st Shift)
SSC CHSL 16/03/2023 (3rd Shift) 2 2 yramid whose base is a square with
p
(a) 804 cm² (b) 729 cm² (a) 48𝑐 𝑚 (b) 72𝑐 𝑚
2 2
side8cmandheightofthepyramidis3
(c) 864 cm² (d) 926 cm² (c) 96𝑐 𝑚 (d) 120𝑐 𝑚 cm ?
SSC CGL Tier II (03/03/2023)
.394. IfintriangleABC,MNisparallel
Q Q.402. A trapezium plate having two 2 2
toBC,andMandNarepointsonABand arallelsidesoflength15cmand9cm.
p (a) 169𝑐 𝑚 (b) 121𝑐 𝑚
2 2
ACrespectively.Theareaofquadrilateral and distance between them is 6 cm. (c) 144𝑐 𝑚 (d) 184𝑐 𝑚
MBCN = 130 cm². If AN: NC=4:5,then Copperplatingistobedoneontheplate
the area of Triangle MAN is: atarateofRs.3persquarecm.Whatwill .409.Thebreadth'b'ofaroomistwice
Q
SSC CHSL 17/03/2023 (1st Shift) bethetotalcostofcopperplatingonthe its heightandhalfofitslength.Findthe
(a) 40 cm² (b) 65 cm² upper side of the plate? length of the longest diagonal of the
(c) 32 cm² (d) 45 cm² SSC CHSL 21/03/2023 (1st Shift) room.
(a) Rs.432 (b) Rs.216 (c) Rs.72 (d) Rs.108 SSC CGL Tier II (03/03/2023)
Q.395. The circumference of the two 20𝑏
𝑏 1𝑏
2 9𝑏
1
irclesis264mand308mrespectively.
c .403.∆ABC is similar to∆PQR , AB = 4
Q (a) (b) (c) (d)
2 2
2
2
What is the differencebetweenthearea cm,BC=8cmandAC=10cm.IfQR=
of the larger circle and the smaller circle? 16 cm, then what is the area of∆PQR? Q.410. A pyramid has an equilateral
t riangleasitsbase,ofwhicheachsideis
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8cm.Itsslantedgeis24cm.Thewhole ( c) Cuboid will have more volume ire ?
w
urface area of the pyramid (in𝑐 𝑚 ) is:
s
2 (d) Cannot be determined SSC CGL 03/12/2022 (3rd Shift)
SSC CGL Tier II (06/03/2023) (a) 224 cm (b) 183 cm
.418. A hemispherical bowl made of
Q (c) 198 cm (d) 243 cm
(a) (16 3+ 24 35) (b) (12 3+ 24 35) ironhasaninnerdiameterof84cm.Find
(c) (24 3+ 36 35) (d) (16 3+ 48 35) the cost of tinplatingitontheinsideat Q.426.Thelengthofthesideofacubeis
22 .6 𝑐 𝑚 . What is the volume of the
5
Q.411. If the curved surface area of a therateof₹21per100cm²(takeπ =
7
2 largest sphere that can be taken out of
ylinder is 126π 𝑐 𝑚 anditsheightis14
c ) correct to two places of decimal. the cube ?
cm, what is the volume of the cylinder. SSC CGL 02/12/2022 (1st Shift) SSC CGL 05/12/2022 (1st Shift)
SSC CGL Tier II (06/03/2023) (a) ₹2,328.48 (b) ₹2,425.48 3 3
(a) 91.98𝑐 𝑚 (b) 99.96𝑐 𝑚
1 3 1 3 (c) ₹2,425.60 (d) ₹2,355.48
(a) 283 π 𝑐 𝑚 ( b) 137 π 𝑐 𝑚 3 3
2 2 (c) 96.98𝑐 𝑚 (d) 90.69𝑐 𝑚
1 3 1 3
Q.419. If the side of an equilateral
(c) 128 π 𝑐 𝑚 ( d) 125 π 𝑐 𝑚 t riangle is 24 cm, then what is its area? .427. A hollow sphere has an outer
Q
2 2
SSC CGL 02/12/2022 (2nd Shift) radiusof4cmandinnerradiusof1cm.
Q.412.Thedifferencebetweenthelength What is the volume of this hollow
(a) 169 3cm2 m2
(b) 125 3c
ftwoparallelsidesofatrapeziumis12
o sphere?
(c) 256 3cm2 (d) 144 3cm2
cm. The perpendiculardistancebetween SSC CGL 05/12/2022 (3rd Shift)
these two parallel sides is 60 cm. Ifthe .420. The radius of a right circular
Q (a) 84π cm3 (b) 68π cm3
3
2
rea of the trapezium is 1380 𝑐 𝑚 ,then
a cylinder is five times ofitsheight.Ifthe (c) 48π cm (d) 92π cm3
find the length of each of the parallel height of the cylinder is 3.5 cm, then
.428. Threecubesofequalvolumeare
Q
sides (in cm). what is the volume of the cylinder?
joined end to end.Findthesurfacearea
SSC CGL Tier II (06/03/2023) SSC CGL 02/12/2022 (3rd Shift)
of theresultingcuboidifthediagonalof
(a) 27, 15 (b) 31, 19 (c) 29, 17 (d) 24, 12 (a) 3368.75 cm³ (b) 3872.75 cm³
(c) 3146.75 cm³ (d) 3524.25 cm³ the cube is6 3𝑐 𝑚.
SC CGL 05/12/2022 (4th Shift)
S
SSC CGL 2022 Tier - 1 .421.Inthegivenfigure,asquareABCD
Q (a) 509 cm2 (b) 504 cm2
isinscribedinaquadrantAPCQ. IfAB= (c) 516 cm 2
(d) 512 cm2
.413. The length and breadth of a
Q
16cm,findtheareaoftheshadedregion
rectangle are increased by 8% and 5%, .429.Asolidhemispherehasradius21
Q
(take π = 3.14) correct to two places of
respectively. By how much percentage cm. It is melted to formacylindersuch
decimal.
will the area of the rectangle increase? thattheratioofitscurvedsuraceareato
SSC CGL 01/12/2022 (1st Shift) total surface area is 2 : 5. What is the
(a) 13.4% (b) 15.4% (c) 12.4% (d) 16.4% 22
radius (in cm) of its base (take π = ) ?
7
.414. How many spherical lead shots
Q SC CGL 06/12/2022 (1st Shift)
S
eachofdiameter8.4cmcanbeobtained SC CGL 02/12/2022 (4th Shift)
S (a) 23 (b) 21 (c) 17 (d) 19
from a rectangular solid of lead with (a) 155.98cm2 (b) 179.68cm2
dimension 88 cm, 63 cm, 42 cm. (c) 163.85cm2
(d) 145.92cm2 Q.430.Calculatetheareaofasectorofa
22 irclewithradius10metresandangleof
c
(takeπ =
) ? Q.422. If the volume of a sphere is
7 90 degrees at the centre.
3
SC CGL 01/12/2022 (1st Shift)
S 4,416.64 𝑐 𝑚 ,finditssurfacearea(take
2 SSC CGL 06/12/2022 (3rd Shift)
(a) 920 (b) 750 (c) 650 (d) 860 π=3.14) correct to two places of decimal. (a) 79.3 m2 (b) 79.5 m2
2
SSC CGL 03/12/2022 (1st Shift) (c) 78.5 m (d) 75 m2
.415. A solid metallic sphereofradius
Q
(a) 3069.55 cm2 (b) 4069.44 cm2
13 cm is melted and recast intoacone .431. The ratio of the outer and the
Q
(c) 5069.66 cm2 (d) 6069.67 cm2
having diameter of the base as 13 cm. inner circumference of acircularpathis
What is the height (cm) of the cone ? .423.Theareaofasectorofacircleis
Q 5 :4.Ifthepathis50metreswide,then
SSC CGL 01/12/2022 (3rd Shift) 66 cm2 and the angle of the sector is what is the radius of the inner circle?
(a) 246 (b) 152 (c) 174 (d) 208 60°. Find the radius of the circle. SSC CGL 06/12/2022 (3rd Shift)
SSC CGL 03/12/2022 (1st Shift) (a) 250 metres (b) 300 metres
Q.416.Theareaofatriangleis480cm²
(a) 5√15 cm (b) 6√14 cm (c) 200 metres (d) 210 metres
nd the ratio of itssidesis10:24:26.
a
(c) 7√19 cm (d) 3√14 cm
What is the perimeter of the triangle ? .432.Thediagonalofthesquareis8 2
Q
SSC CGL 01/12/2022 (4th Shift) .424. The radius of a right circular
Q cm. Find thediagonalofanothersquare
(a) 120 cm (b) 30 cm cylinder is thrice its height.Iftheheight whose area is triple that of the first
(c) 150 cm (d) 60 cm ofthecylinderis2.1cm,thenwhatisthe square.
volume of the cylinder ? SSC CGL 06/12/2022 (4th Shift)
Q.417. Which of the following two will
SSC CGL 03/12/2022 (3rd Shift) (a) 8 5cm (b) 8 3cm
rovide more volume ?
p
(a) 224.65 cm³ (b) 194.72 cm³
I) A cuboid of edges 6 cm,7 cm and 8 cm (c) 8 2cm (d) 8 6cm
(c) 324.86 cm³ (d) 261.95 cm³
II) A cube of edge 7 cm
SSC CGL 02/12/2022 (1st Shift) .433. Steel is used to make a
Q
.425.Asolidcoppersphereofradius9
Q
(a) Cube will have more volume hemisphericalbowlthatis0.37cmthick.
cmishammeredandmouldedintoawire
(b) Both will have equal volume The bowl's inner radius is 6 cm. Find the
of radius 2 cm. What is the length of this
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3 3
bowl's outer curved surface area ( a) 15468 cm ( b) 14262 cm .448. Determine the total surfacearea
Q
22 (c) 137984 cm3 (d) 11296 cm3 of a hemisphere closed at bottom.
(take π = ).
7
.442. Theradiioftheendsofafrustum
Q 25
SC CGL 07/12/2022 (1st Shift)
S Radius of the hemisphere is unit.
π
(a) 532 cm2 (b) 255.0548 cm2 ofacone7cmhighare5cmand3cm.
SC CPO 09/11/2022 (Morning)
S
2
(c) 484 cm (d) 523.4107 cm2 Find its volume correct to one decimal
22
(a) 75 unit2 (b) 70 unit2
place. (Use π = ) (c) 60 unit2 (d) 50 unit2
.434. The length and breadth of a
Q 7
cuboid is increased by 20% and 25%, SC CGL 12/12/2022 (2nd Shift)
S
Q.449. Find the perimeter of major
respectively, while its height is reduced (a) 345.6 cm³ (b) 359.3 cm3
ector of a circle of radius 12 metres,
s
by 30%. What must be the total (c) 379.3 cm³ (d) 369.3 cm³
whose minor sector subtends an angle
percentage increase/decrease in the
Q.443. Area of the floor of a cubical of 75° at the centre.
volume of the cuboid ?
r oomis64m².Thelengthofthelongest SSC CPO 09/11/2022 (Morning)
SSC CGL 07/12/2022 (3rd Shift)
rod that can be kept in the room is: (a) 24 + 5π metres (b) 24 + 19π metres
(a) Increase by 5% (b) Increase by 3%
SSC CGL 12/12/2022 (3rd Shift) (c) 24 – 5π metres (d) 24 – 19π metres
(c) Decrease by 2% (d) Decrease by 4%
(a) 16 3m (b) 4 3 m .450.Afrustumofarightcircularcone,
Q
.435. What is the area of the curved
Q
(c) 12 3m (d) 8 3m whoseheightis18cm,largebaseradius
surface of a right circular c one with
is25cm,andsmallbaseradiusis20cm,
height 8 m and slant height 10 m? Q.444. A conical vessel, whose internal is melted to form a small sphere of
SSC CGL 08/12/2022 (1st Shift) r adius is 20 cm and height is 27 cm,is diameter 2 cm. How many spheres will
(a) 60 m² (b) 60π m² (c) 40 m² (d) 40π m² fullofwater.Ifthiswaterispouredintoa be formed ?
cylindrical vessel with internalradius15 SSC CPO 09/11/2022 (Afternoon)
.436. An iron rod with diameter 4 cm
Q
cm, what will betheheighttowhichthe (a) 6287 (b) 6862 (c) 4575 (d) 5857
andlength12cmisdrawnintoawireof
water rises in it ?
length 12 m of uniform thickness.
SSC CGL 12/12/2022 (4th Shift) Q.451. The radius of a hollowsphereis
Determine the thickness of the wire.
(a) 16 cm (b) 10 cm 1cm.Itiscutintotwoequalhalvesbya
2
SSC CGL 08/12/2022 (2nd Shift)
(c) 12 cm (d) 14 cm planepassingthroughitscentre.Whatis
(a) 0.6 cm (b) 0.7 cm
75% of the curved surface area(incm²,
(c) 0.3 cm (d) 0.4 cm .445.Ifthenumericalvalueoftwicethe
Q rounded off to the nearest tens) of the
curved surface a rea of a right circular 22
.437.Asolidconeofheight42cmwith
Q hemisphere ? (Takе π = )
cylinder is equal to the numerical value 7
diameter of its base 42 cm is cut out
ofitsvolume,thenwhatisthenumerical SC CPO 09/11/2022 (Evening)
S
fromawoodensolidsphereofradius24
value of the radius of the base of the (a) 4160 (b) 3470 (c) 2080 (d) 2770
cm.Findthepercentageofwoodwasted
cylinder ?
correct to two places of decimal. Q.452.Whatisthetotalsurfaceareaofa
SSC CGL 13/12/2022 (1st Shift)
SSC CGL 09/12/2022 (1st Shift) olidrightcircularcylinderofradius7cm
s
(a) 2 (b) 3 (c) 5 (d) 4
(a) 75.56% (b) 56.65% 22
(c) 66.50% (d) 67.50% and height 8 cm? (π = )
7
SSC CPO 2022 Tier - 1
SC CPO 09/11/2022 (Evening)
S
.438.Thelengthofthesideofacubeis
Q
(a) 560 cm² (b) 660 cm²
2.8 cm. Whatisthevolumeofthelargest Q.446. A field is in the shape of a
(c) 850 cm² (d) 760 cm²
spherethatcanbetakenoutofthecube? r ectangleoflength90mandbreadth75
SSC CGL 09/12/2022 (2nd Shift) m.Inonecornerofthefield,apit,which Q.453. The total surface area of a solid
(a) 11.50 cm3 (b) 1.15 cm3 is 18mlong,15mbroadand6mdeep, etallic hemisphere is 462 cm2 . This is
m
3
(c) 11.55 cm (d) 115 cm3 hasbeendugout.TheEarth takenoutof melted and moulded into a right circular
it is evenly spread over the remaining cone.Iftheradiusofthebaseofthecone
.439.Thecurvedsurfaceareaofaright
Q partofthefield.Findtheriseinthelevel is the same as that of the hemisphere,
circularconeofbaseradius21cmis594 of the field ? 22
sq cm. What is the slant height of the SSC CPO 09/11/2022 (Morning) then its height is: (use π = )
7
cone ? (a) 27 cm (b) 25 cm (c) 28 cm (d) 24 cm SC CPO 09/11/2022 (Evening)
S
SSC CGL 09/12/2022 (3rd Shift)
(a) 14 cm (b) 7 cm (c) 21 cm (d) 28 cm
(a) 15 cm (b) 11 cm (c) 9 cm (d) 6 cm Q.447. In the given figure, the length of
rc AB is equal to twice the length of
a Q.454. As shown in the given figure,
.440. The number of solid spheres,
Q radius r of the circle. Find the area of inside the large semicircle, three
each of diameter 6 cm, that could be sector OAB in terms of the radius r. semicircles (with equal radii) are drawn
mouldedtoformasolidmetalcylinderof
sothattheirdiametersallsitonthelarge
height 90 cm and diameter 4 cm is:
semicircle's diameter. What is the ratio
SSC CGL 09/12/2022 (4th Shift)
between the unshaded and shaded
(a) 10 (b) 14 (c) 16 (d) 13
areas?
Q.441. The radius of a right circular
ylinder isfourtimesofitsheight.Ifthe
c
heightofthecylinderis14cm,thenwhat
SC CPO 09/11/2022 (Morning)
S
is the volume of the cylinder? SC CPO 09/11/2022 (Evening)
S
(a) 3r (b) 2r (c) πr2 (d) r2
SSC CGL 12/12/2022 (2nd Shift) (a) 4 : 3 (b) 1 : 2 (c) 2 : 1 (d) 3 : 4
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Pinnacle Day: 20th - 29th Mensuration
Q.455. Whatisthelengthofthelongest nly).Determinethetotalsurfaceareato
o areas of all the 8 small solid spheres ?
ole that can fit itself in a hall 60 feet
p bepainted.(neglecttheareaofwindows 22
(useπ = )
long, 30 feet broad and 20 feet high? and doors) & (floor area is NOT to be 7
SSC CPO 10/11/2022 (Morning) painted) SSC CGL Tier II (08/08/2022)
(a) 50 ft. (b) 70 ft. (c) 30 ft. (d) 20 ft. SSC CPO 11/11/2022 (Morning) (a) 3648𝑐 𝑚
2
(b) 4928𝑐 𝑚
2
(a) 300 m² (b) 280 m² 2 2
.456.Thevolumeofawall,sixtimesas
Q (c) 4244𝑐 𝑚 (d) 4158𝑐 𝑚
(c) 330 m² (d) 230 m²
hight as its breadth and half aslongas
.471. ABCD is a quadrilateral. The
Q
its height, is 23958 cm³. What is the .464. A hemispherical bowl ofinternal
Q
lengthofdiagonalACis24cm.Thesum
breadth of the wall ? radius6cmcontainsaliquid.Thisliquid
of perpendiculars drawn from vertex B
SSC CPO 10/11/2022 (Morning) is to be filled into cylindrical shaped
andDonthediagonalACis10cm.What
(a) 21 cm (b) 15 cm (c) 11 cm (d) 18 cm small bottles of diameter 2 cm and
is the area of the quadrilateral ?
height 4 cm. How many bottles will be
Q.457. The curved surface area and SSC CGL Tier II (08/08/2022)
needed to empty the bowl? 2 2
ircumferenceatthebaseofasolidright
c SSC CPO 11/11/2022 (Afternoon) (a) 240𝑐 𝑚 (b) 180𝑐 𝑚
circular cylinder are 2200 cm² and 110 (a) 32 (b) 37 (c) 38 (d) 36 (c) 120𝑐 𝑚
2 2
(d) 90𝑐 𝑚
cm, respectively. Find the height of the
cylinder. .465. The total surface area of a
Q .472.Thebaseofaprismisarightangle
Q
SSC CPO 10/11/2022 (Morning) hemisphere is462cm2 .Thediameterof trianglewhosesidesare9cm,12cmand
(a) 24 cm (b) 22 cm (c) 20 cm (d) 18 cm this hemisphere is: 15 cm. Volume of this prism is 648cm3.
SSC CPO 11/11/2022 (Evening) What will be the height of prism ?
.458. The lengthofacoldstorageis5
Q (a) 28 cm (b) 21 cm (c) 7 cm (d) 14 cm SSC CGL Tier II (08/08/2022)
times its breadth, and its height is8m. (a) 14 cm (b) 12 cm (c) 9 cm (d) 16 cm
The area of its four walls (includingthe Q.466.Thedifferencebetweenthesemi-
doors) is 720 m2. Find the totalsurface erimeter and thesidesof∆PQRare18
p Q.473.Thedifferencebetweentheareas
area of cold storage. cm, 17cmand25cm,respectively.Find f two concentric circles is 264 𝑐 𝑚 .
o
2
SSC CPO 10/11/2022 (Afternoon) the area of the triangle What is the difference between the
(a) 1290.6 m2 (b) 1275.3 m2 SSC CPO 11/11/2022 (Evening) 22
(c) 1265.25 m 2
(d) 1282.5 m2 (a) 330√510 cm² (b) 230√510 cm² square of their radius ? (useπ = )
7
(c) 30√510 cm² (d) 130√510 cm² SSC CGL Tier II (08/08/2022)
.459. A cylinder of height 8 cm and
Q 2 2
radius6cmismeltedandconvertedinto (a) 70𝑐 𝑚 (b) 140𝑐 𝑚
SSC CGL 2021 Tier - 2 2 2
3 cones of the same radius and height (c) 84𝑐 𝑚 (d) 64𝑐 𝑚
that of cylinder. Determine the total
.467. The sum of the curved surface
Q Q.474.Volumeofaconewhoseradiusof
curved surface area of cones.
areaandthetotalsurfaceareaofasolid base and height are r and h
a
SSC CPO 10/11/2022 (Evening) 2
2 2 ylinder is 2068 𝑐 𝑚 . If theradiusofits
c 3
r espectively,is400𝑐 𝑚 .Whatwillbethe
(a) 180π𝑐 𝑚 (b) 60π𝑐 𝑚
baseis7cm,thenwhatisthevolumeof volume of a cone whoseradiusofbase
2 2
(c) 144π𝑐 𝑚 (d) 120π𝑐 𝑚 22
this cylinder ? (useπ = ) and height are 2r cm and h cm
7
.460.The heights of two right circular
Q respectively ?
SSC CGL Tier II (08/08/2022) SSC CGL Tier II (08/08/2022)
cones are in the ratio 1 : 5 and the 3 3
(a) 2060𝑐 𝑚 (b) 2480𝑐 𝑚 (a) 100 𝑐 𝑚
3
(b) 1600𝑐 𝑚
3
perimeteroftheirbasesareintheratio5:
3 3
3. Find the ratio of their volumes. (c) 3080𝑐 𝑚 (d) 2760𝑐 𝑚 (c) 1200𝑐 𝑚
3
(d) 800𝑐 𝑚
3
SSC CPO 10/11/2022 (Evening)
Q.468. The slant height of a coneis20
(a) 8 : 11 (b) 7 : 6 (c) 5 : 9 (d) 3 : 4
m. If area of its base is 616 𝑐 𝑚 ,then
c
2 SSC Selection Post (Phase - X)
Q.461.The area of the sector of a circle is what is the curved surface area of this
2
cone ? Q.475.Aconicalvesselhasradius4cm
28 𝑐 𝑚 . If the length of thearcofthat
1
SSC CGL Tier II (08/08/2022) nd its curved surface area is 20πcm2.
a
sector is 64 cm, then find the radius of
2 2 The volume of conical vessel is:
the circle. (a) 960𝑐 𝑚 (b) 440𝑐 𝑚
Graduate Level 02/08/2022 ( Shift - 3 )
SSC CPO 10/11/2022 (Evening) 2 2
(c) 1760𝑐 𝑚 (d) 880𝑐 𝑚 (a) 18πcm3 (b) 12πcm3
(a) 4 cm (b) 8 cm (c) 2 cm (d) 16 cm 3
(c) 26πcm (d) 16πcm3
.469. The height of a cylinder is 6cm
Q
.462. A cone-shaped storage tank's
Q
more than the radius of its base. If its .476.A student wants to know the area
Q
height and radius are 9 and 7 feet,
radius is 14 cm, then what will be volume ofarhombus,oneofwhosediagonalsis
respectively. Determinehowmuchliquid
22 6 cm. Hemeasuresanotherdiagonalas
the tank can contain. (Take π = 3.14) of this cylinder ? (useπ = )
7 8 cm. What is the area of the rhombus?
SSC CPO 11/11/2022 (Morning) SSC CGL Tier II (08/08/2022) Graduate Level 05/08/2022 ( Shift - 3)
(a) 471 cubic feet 3 3
(a) 13560𝑐 𝑚 (b) 14340𝑐 𝑚 (a) 25𝑐 𝑚
2 2
(b) 20𝑐 𝑚
(b) 450 cubic feet
3 3
(c) 435.32 cubic feet (c) 10440𝑐 𝑚 (d) 12320𝑐 𝑚 (c) 24𝑐 𝑚
2 2
(d) 48𝑐 𝑚
(d) 461.58 cubic feet
.470. Radius of a largesolidsphereis
Q Q.477. Thevolumesoftwocubesarein
.463. A hall of 10mlength,5mwidth
Q 14cm.Itismeltedtoform8equalsolid t he ratio of 8 : 27. If the volume of the
and6mheightistobepainted(oneside spheres.Whatisthesumoftotalsurface 3
larger cube is513 𝑐 𝑚 morethanthatof
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Pinnacle Day: 20th - 29th Mensuration
t hesmallercube,findthelengthofeach (a) 21 cm (b) 15 cm (c) 11 cm (d) 18 cm 2 2
(a) 25 3𝑐𝑚 (b) 30 3𝑐𝑚
side of the smaller cube. 2 2
Higher Secondary 01/08/2022 ( Shift - 3 ) .485.Findtheareaofatrapeziumwhose
Q (c) 36 3 𝑐𝑚 (d) 42 3 𝑐𝑚
(a) 27 cm (b) 7 cm (c) 6 cm (d) 16 cm parallel sides are of length15cmand20
cm, respectively, and whose distance Q.492.Asolidspherewhoseradiusis21
.478. A chord of a circleofradius21
Q between the parallel sides is 12 cm. m is melted and recast into a regular
c
cm makes a right angle at the center. SSC MTS 06/07/2022 (Evening) pyramid of square base. Iftheheightof
Find the area of major segment. 2 2 the pyramid is 66 cm, then what is the
(a) 280 𝑐𝑚 (b) 210 𝑐𝑚
22 length of each side of the base of the
(take π = ) closest to nearest integer. (c) 360 𝑐𝑚
2
(d) 120 𝑐𝑚
2
22
7
pyramid ? [useπ = ].
Higher Secondary 03/08/2022 ( Shift - 4 ) 7
3
2 2 .486. A goldsmith uses 110 𝑐𝑚 of
Q SC MTS 08/07/2022 (Evening)
S
(a) 1360𝑐 𝑚 (b) 1436𝑐 𝑚
2 2 gold to make a wire 1 mm in diameter. (a) 68 cm (b) 85 cm (c) 42 cm (d) 48 cm
(c) 1260𝑐 𝑚 (d) 1160𝑐 𝑚 Hewillusethiswiretomakegoldchains
Q.493.thetotalsurfaceareaofaclosed
of equal lengths. If each chain requires
SSC MTS 2021 Tier - 1 56 cm length of wire, then how many
2
ube is128 𝑐𝑚 morethantheareaofa
c
22 square. If the length ofeachsideofthe
.479. A goatistiedwitha10.5m-long
Q gold chains can he make? [useπ = ]
7 cube is 8 cm,thenwhatisthelengthof
rope to one corner of a plot whichisin SC MTS 07/07/2022 (Morning)
S each side of the square?
the shapeofanequilateraltriangleeach (a) 320 (b) 250 (c) 160 (d) 210 SSC MTS 11/07/2022 (Morning)
sideofwhichis16mlong.Findthearea (a) 16 cm (b) 12 cm (c) 18 cm (d) 9 cm
Q.487. The measures of the outer
that the goat can graze on.
imensions of a closed metal box are
d .494. In a camp, therearetentsofthe
Q
SSC MTS 05/07/2022 (Morning)
given as 15 cm × 18 cm × 8 cm. The same shape and size. Each tent is
(a) 62.25m2 (b) 53.5m2
thickness of the metal is 1.5 cm. What cylindrical up to a height of 4 m and
(c) 57.75m2 (d) 51.75m2
will be the volumeofthemetalrequired conical above it. The diameters of the
.480.Iftheheightandtheradiusofthe
Q to make the box ? bases of the cylinder and the cone are
base of a cone are both doubled, the SSC MTS 07/07/2022 (Evening) both 10.5 m and the slant heightofthe
3 3
volumeoftheconebecomes______ofits (a) 1680𝑐𝑚 (b) 950𝑐𝑚 conicalpartis10m.Ifatotalof3861m2
previous volume. 3 3 canvas is used in making all the tents,
(c) 1440𝑐𝑚 (d) 1260𝑐𝑚
SSC MTS 05/07/2022 (Morning) then how many tents are there in the
(a) 4 times (b) 3 times .488. The length of a side of an
Q 22
camp ? [useπ = ]
(c) 6 times (d) 8 times 7
equilateral triangle is 120 cm less than
its perimeter. What is the area of the SC MTS 11/07/2022 (Evening)
S
.481. Asmallercircletouchesabigger
Q (a) 11 (b) 7 (c) 19 (d) 13
equilateral triangle?
circle internallyandalsopassesthrough
SSC MTS 07/07/2022 (Evening) Q.495.ArectangularLCDhasanareaof
the centre ‘O’ of the bigger circle. Ifthe
2 2
2 (a) 1800 3𝑐𝑚 (b) 900 3𝑐𝑚 2
80 𝑐𝑚 andaperimeterof92cm.Ifthe
4
areaofthesmallercircleis192𝑐𝑚 ,the
2 2
2 (c) 450 3𝑐𝑚 (d) 1200 3 𝑐𝑚 size of the LCD is defined in term of
rea of the bigger circle (in𝑐𝑚 ) is :
a
length of the diagonal, then what is the
SSC MTS 05/07/2022 (Evening) Q.489. The volume of a cuboid is 3300 size of the LCD?
(a) 768 (b) 384 (c) 1024 (d) 720 3
𝑐𝑚 . The sum of the length and the SSC MTS 12/07/2022 (Evening)
.482. The perimeter of a square is
Q breadth of the cuboid is 37 cm. If the (a) 34 cm (b) 39 cm (c) 31 cm (d) 35 cm
equaltotheperimeterofarectangle,and ifference between the length and the
d
.496.Ifthecircumferenceofacircleis
Q
thelatterhasawidthof12cm.Thearea breadthofthecuboidis13cm,thenwhat
equal to the perimeter of a square and
2
fthesquareis400𝑐 𝑚 .Findtheareaof
o is the height of the cuboid?
the radius of the givencircleispositive,
the rectangle. SSC MTS 08/07/2022 (Morning)
then which of the following options is
SSC MTS 06/07/2022 (Morning) (a) 18 cm (b) 11 cm (c) 14 cm (d) 16 cm
correct ?
2 2
(a) 412𝑐𝑚 (b) 394𝑐𝑚 Q.490. The length and the breadth of a SSC MTS 12/07/2022 (Evening)
2 2 r ectangularcardboardare40cmand35 (a) Area of the circle > Area of the square
(c) 324𝑐𝑚 (d) 336𝑐𝑚
cm, respectively. If the biggest possible (b) Area of the circle≥ Area of the
Q.483. If the total surface area of a square is cut out from this cardboard, square
phereofradiusrcmisequaltothetotal
s whatistheareaoftheremainingpartof (c) Area of the circle < Area of the square
surface area of a cube of side s cm, the cardboard ? (d) Area of the circle = Area of the square
which of the following is true ? SSC MTS 08/07/2022 (Afternoon)
2 2
Q.497. If the length of one side of a
SSC MTS 06/07/2022 (Morning) (a) 175𝑐𝑚 (b) 275𝑐𝑚 r ectangle is twice thatoftheotherside,
(a) r > s (b) r≥ s (c) r = s (d) r < s 2 2
(c) 425𝑐𝑚 (d) 325𝑐𝑚 and its perimeter is54cm,thenwhatis
.484. The volume of a wall whose
Q the length of the longer side of this
heightissixtimesitsbreadthandlength Q.491.Thediagonalofarectangleis12 rectangle ?
3 mlonganditistwiceaslongasoneof
c SSC MTS 13/07/2022 (Evening)
is half its height, is 23958 𝑐𝑚 .Whatis the sides of the rectangle. Find area of (a) 14 cm (b) 9 cm (c) 27 cm (d) 18 cm
the breadth of the wall ? the rectangle ?
SSC MTS 06/07/2022 (Afternoon) SSC MTS 08/07/2022 (Evening) Q.498.A person uses a rectangular
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Pinnacle Day: 20th - 29th Mensuration
metallic sheet of 45 m × 30 m for Q.506. The height of a cylinder is 3cm Q.513. The ratio of the length to the
aking an open box. From each corner
m ore than the radius of its base. If the
m idth of a rectangle is 3:2.Ifthelength
w
of the sheet he cut offsasquare.Ifthe heightis10cm,thenwhatisthevolume ofthisrectangleisincreasedby25%and
lengthofonesideofeachofthesquares 22 its width is kept constant,thenthearea
of this cylinder ? [useπ = ]
is 10m,thenwhatwillbethevolumeof 7
f the rectangle increases by 24 𝑚 .
o
2
the box (in m3) ? SSC MTS 20/07/2022 (Morning)
What is the width of this rectangle?
SSC MTS 13/07/2022 (Evening) (a) 1540𝑐𝑚
3
(b) 1860𝑐𝑚
3
SSC MTS 22/07/2022 (Morning)
(a) 5000 (b) 4500 (c) 7000 (d) 2500
(c) 2160𝑐𝑚
3
(d) 1240𝑐𝑚
3 (a) 12 m (b) 10 m (c) 8 m (d) 15 m
.499.Thetotalsurfaceareaofaclosed
Q
.507. What is the radius of a circular
Q Q.514. If the ratio of an external angle
hemisphere is 16632 cm2. What is the
field whose area is equal to thesumof ndaninternalangleofaregularpolygon
a
sum of the radius and the diameter of
theareaofthreesmallercircularfieldsof is1:5,thenwhatisthenumberofsides
22
this hemisphere? [useπ = ] radii 8 m, 9m and 12m respectively? in the polygon ?
7
SSC MTS 20/07/2022 (Morning) SSC MTS 22/07/2022 (Afternoon)
SC MTS 14/07/2022 (Afternoon)
S
(a) 20 m (b) 21 m (c) 29 m (d) 17 m (a) 24 (b) 22 (c) 12 (d) 30
(a) 172 cm (b) 168 cm
(c) 126 cm (d) 154 cm Q.508.Atoyisformedbyplacingasolid .515. The length, the breadth, and the
Q
ircular cone onasolidhemisphereand
c heightofacuboidalroomaregivenas80
.500. The length of the longest
Q
the radius of the common base of the m, 70 m, and 80 m, respectively. What
diagonal that can be placed inaclosed
coneandthehemisphereis15cm,Ifthe willbethetotalcostofpaintingthefour
ube is 50 3 cm. What is the total
c 3 wallsofthisroom,attherateof50paise
v olume of the toy is 2850π𝑐 𝑚 , then find
surface area of this cube ? per square meter ?
the total surface area of that toy.
SSC MTS 14/07/2022 (Evening) SSC MTS 25/07/2022 (Morning)
SSC MTS 20/07/2022 (Morning)
(a) 15000cm2 (b) 10000cm2 (a) Rs 1,20,000 (b) Rs 28000
2 2
(c) 12000cm2 (d) 6000cm2 (a) 815π 𝑐𝑚 (b) 755π 𝑐𝑚 (c) Rs 48000 (d) Rs 12000
2 2
(c) 705π 𝑐𝑚 (d) 685π 𝑐𝑚
.501.Thelargerdiagonalofarhombus
Q 2
Q.516.The area of a square is 1296 𝑐𝑚
is 150% of its smaller diagonal, and its .509. A large solid cubeismeltedand
Q
7
areais432cm2.Findthelength(incm) castinto‘N’smallsolidspheres,eachof and the radius of a circle is of the
6
of the side of the rhombus ? radius 3 cm , and ‘N+2’ small solid length of a side of the square. What is
SSC MTS 14/07/2022 (Evening) cuboids, Each of dimensions 4 cm × t he ratio of the perimeter of the square
(a) 8 13 (b) 4 13 (c) 6 13 (d) 2 13 4cm × 6.5cm.Ifthelengthofeachside and the circumference of the circle ?
ofthelargesolidcubeis12cm,thenfind 22
.502. The surface area of a sphere is
Q (useπ = )
22 7
2464 cm2. Findtheradiusofthesphere. the value of ‘N’ [useπ = ]
7 SC MTS 25/07/2022 (Morning)
S
22 SC MTS 20/07/2022 (Afternoon)
S
[useπ = ] (a) 13:11 (b) 8:11 (c) 6:11 (d) 3:7
7
(a) 8 (b) 5 (c) 7 (d) 6
SC MTS 15/07/2022 (Afternoon)
S Q.517. Thelength,thebreadths,andthe
(a) 14 cm (b) 28 cm (c) 42 cm (d) 40 cm .510. The height of a trapezium is 68
Q v olumesoftwocuboidsareintheratios
cmandthesumofitsparallelsidesis75 of4:5,3:4and2:3respectively.What
Q.503. The length of each side of a 6
cm. If the area of the trapezium is is the ratio of their heights ?
r hombusis10cm.Ifthelengthofoneof 17 SSC MTS 25/07/2022 (Afternoon)
its diagonals is 16 cm,then what is the t imes of the area of a square, then the (a) 3 : 5 (b) 10 : 9 (c) 8 : 15 (d) 2 : 3
area of the rhombus? length of the diagonal of the square is:
SSC MTS 15/07/2022 (Evening) Q.518.Thebreadthofarectangleis4/5
( take 2= 1.41)
(a) 108cm2 (b) 112cm2 ftheradiusofacircle.Theradiusofthe
o
SSC MTS 21/07/2022 (Morning)
(c) 128cm2 (d) 96cm2 (a) 127.39 cm (b) 183.49 cm circle is 1/5 of the side of a square,
2
(c) 119.85 cm (d) 102.39 cm hose area is 625 cm . What is the
w
Q.504. Two cubes, each having a total
2
area of the rectangle if the length of
urface area of 150𝑐 𝑚 ,are joined
s Q.511. Thelengthofacuboidalroomis rectangle is 20 cm ?
t ogether toformacuboid.Findthetotal 6m,itsbreadthis34manditsheightis
5 SSC MTS 25/07/2022 (Afternoon)
surface area of the resulting cuboid. 8m.Findthelengthofthelongestladder 2 2
SSC MTS 18/07/2022 (Afternoon) that can be placed in the room. (a) 150𝑐𝑚 (b) 60𝑐𝑚
2 2
(a) 225 (b) 250 (c) 275 (d) 300 SSC MTS 21/07/2022 (Afternoon) (c) 100𝑐𝑚 (d) 80𝑐𝑚
(a) 66 m (b) 58 m (c) 42 m (d) 33 m
.505. The circumference of a circle is
Q
7
Q.519. The diameter of a circle is
equal to the perimeter of an equilateral .512. Find the total surface area of a
Q 4
triangle. If the radius of the circle is 84 closed hemisphere whose diameteris7 times of the base of a triangle, andthe
cm, thenwhatwillbethelengthofeach 22 eightofthetriangleis14cm.Ifthearea
h
cm. [Useπ =
]
side of the equilateral triangle ? 7 2
f the triangle is 56𝑐𝑚 , then what is the
o
22 SSC MTS 21/07/2022 (Evening)
[useπ = ] 2 2
circumference(inm)ofthecircle-(useπ
7
(a) 77𝑐𝑚 (b) 154𝑐𝑚 22
SC MTS 19/07/2022 (Afternoon)
S 2 2 = )
7
(a) 192 cm (b) 176 cm (c) 110𝑐𝑚 (d) 115.5𝑐𝑚
SSC MTS 26/07/2022 (Morning)
(c) 172 cm (d) 184 cm
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Pinnacle Day: 20th - 29th Mensuration
( a) 0.44 m ( b) 2.46 m .527.Whatisthevolumeofthelargest
Q (a) 144 (b) 354 (c) 188 (d) 111
(c) 0.48 m (d) 1.74 m right circular cone that can be cut out
from a cube whose edge is 10 cm ? .535. A cone-shaped temple top has
Q
.520. A square of side 𝑝 is taken. A
Q SSC CHSL 26/05/2022 (Morning) slantheightof10mandradiusofbaseis
rectangle is cut out from this square 250π 51π
3 45π
1 50π
1 11 m. Find the total cost for painting its
such that the length of one side of the (a) (b) (c) (d) 2
3
3
3
3 urved surface area at the rate of ₹7/𝑚 .
c
rectangleisequaltohalfofthelengthof SSC CHSL 31/05/2022 (Afternoon)
onesideofthesquareandthelengthof .528. 15 identical solid spherical balls
Q (a) ₹2440 (b) ₹2040
another side oftherectangleisequalto of radius 5 cm are melted to form a (c) ₹2420 (d) ₹2240
1 singlesphere.Inthisprocess,35%ofthe
of the length of the first side of the
3 mass is wasted. What is the radius (in .536. The area of a triangle is 96𝑐 𝑚
Q
2
r ectangle.Whatistheareaoftheportion cm) of the single sphere that is now and the length of one of its sides is24
of the square that remained after the formed? [Use π = 22/7, and give your cm. What is the length of the
rectangle is cut out? answer correct to two decimal places.] perpendicular drawn t o this side of the
SSC MTS 26/07/2022 (Afternoon) SSC CHSL 26/05/2022 (Evening) triangle from the opposite vertex?
2
7 2
3 1 2
1 5 2
1 (a) 12.68 (b) 16.68 (c) 10.68 (d) 34.68 SSC CHSL 01/06/2022 (Morning)
(a) 𝑝 (b) 4 𝑝
(c) 12 𝑝 (d) 16 𝑝
8
(a) 16 cm (b) 8 cm (c) 4 cm (d) 12 cm
Q.529.Asairispumpedintoaspherical
.521. The length of arope,bywhicha
Q alloon,itsradiusincreasesfrom7cmto
b 3
.537. Find the volume(in 𝑐 𝑚 ) of the
Q
calfistied,isdecreasedfrom9mto5m 14 cm. Find the ratio of volume of the
cuboid,ifitslengthistwicemorethanits
. Find the decrease in the areathatcan balloon's in both circumstances.
breadthanditsbreadthis8cm,whichis
22 SSC CHSL 27/05/2022 (Morning)
be grazed by the calf.[useπ = ] twice its height.
7 (a) 2 : 5 (b) 1 : 9 (c) 1 : 8 (d) 3 : 7
SSC MTS 26/07/2022 (Evening) SSC CHSL 01/06/2022 (Afternoon)
2 2 Q.530. A solid right-circular cylinder, (a) 768 (b) 769 (c) 767 (d) 766
(a) 112𝑚 (b) 154𝑚
hose radius of the base is 15 cmand
w 3
2 2
(c) 122𝑚 (d) 176𝑚 height is 12 cm, ismeltedandmoulded Q.538.If the volume of a cube is 64𝑐 𝑚 ,
2
intothesolidright-circularcone,whose t hen find its total surface area(𝑐 𝑚 ).
SSC CHSL 2021 Tier - 1 radiusofthebaseis24cm.Whatwillbe SSC CHSL 01/06/2022(Evening)
the height of this cone? (a) 96 (b) 82 (c) 88 (d) 64
Q.522. A pillar 11 m in radius is 21 m SSC CHSL 27/05/2022 (Evening)
3 (a) 14.0625 cm (b) 14.0675 cm Q.539. Ifthelengthofacuboidis20m,
high. How much material(in 𝑚 ) was readth is 5 m and height is 4 m, then
b
(c) 14.6025 cm (d) 14.0525 cm
22 find the length of diagonal of the cuboid.
used to construct it? (Use π = )
7 .531. Find the totalsurfacearea(cm2)
Q SSC CHSL 01/06/2022(Evening)
SC CHSL 24/05/2022 (Morning)
S ofa containerincylindricalshapewhose (a) 12 m(b) 21 m (c) 18 m (d) 24 m
(a) 7996 (b) 7886 (c) 7989 (d) 7986 diameter is 14 cm and heightis25cm.
22 Q.540. The radius of a hemispherical
.523. A sphere passes through the
Q [Use π = ]
7 owl is given as 7 cm. What is the
b
eight corners of a cube of side 14 cm. 22
3
SC CHSL 30/05/2022 (Afternoon)
S 3
capacity(𝑐 𝑚 ). of the bowl ? [π = ]
Find the volume (in𝑐 𝑚 ) of the sphere. (a) 1452 (b) 1392 (c) 1408 (d) 1424 7
22 SSC CHSL 02/06/2022(Afternoon)
( π = )
7 .532. A solid toyisintheshapewhich
Q
2 1 1 2
(a) 718 (b) 812 (c) 618 (d) 518
SSC CHSL 25/05/2022 (Morning) isacombinationofacylinder,coneanda 3 3 3 3
(a) 4312 3 (b) 4012 3 hemispherical bowl. The cylinder
Q.541. The length of each side of a
(c) 4312 2 (d) 4012 2 contributesto50%ofthetotalvolumeof
r egular hexagon is 10 cm. What is the
the toy, the cone contributes to 20% of
2
.524. A pond is 50 mlong,35mwide
Q the volume. Find the ratio of the rea(𝑐 𝑚 ).of the hexagon ?
a
and2.5mdeep.Findthecapacityofthe contribution (in terms of volume) ofthe SSC CHSL 02/06/2022(Evening)
pond. cone, cylinder and hemisphere. (a)156 3 (b)144 3(c) 148 3(d) 150 3
SSC CHSL 25/05/2022 (Afternoon) SSC CHSL 30/05/2022 (Afternoon)
2
(a) 4165 (b) 4375 (c) 4165 (d) 3850 (a) 2 : 3 : 5 (b) 5 : 2 : 3 .542.The area of a square is 9𝑚 +
Q
(c) 2 : 5 : 3 (d) 4 : 5 : 3 12m+4.Findthemeasureofthesideof
.525.Arectangularwatertankis1.5m
Q the square.
high, 3 m long and 3.5 m wide. How .533. What is the volume (cm3 )of a
Q SSC CHSL 02/06/2022(Evening)
much water (in litres) can it hold? right circular cylinder whose curved (a) 3m + 2 (b) 3m + 4
SSC CHSL 25/05/2022 (Evening) surface area is 12π cm2 and the 2 2
(c) 3𝑚 + 2 (d) 3𝑚 + 2m
(a) 13520 (b) 14510 (c) 15750 (d) 11780 circumference of its base is 4π cm ?
SSC CHSL 30/05/2022 (Evening) Q.543.Ifasolidpieceofironintheform
.526.How many 25 cm × 11.25 cm × 6
Q (a) 48π (b) 36π (c) 12π (d) 24π f a cuboid, of dimensions 49 cm × 33
o
cmbrickswillberequiredtoconstructan
cm × 24 cm, ismouldedtoformasolid
8m×6m×22.5cmwall?(ignoringother Q.534. The sum of the length, breadth
sphere, then the radius of the sphere is
material used) nd depth of a cuboid is23cm,andits
a
SSC CHSL 03/06/2022 (Morning)
SSC CHSL 26/05/2022 (Morning) iagonalis 5 7cm.Itstotalsurfacearea
d
(a) 16 cm (b) 10 cm
(a) 7020 (b) 6400 (c) 5800 (d) 6800 (cm2 ) is:
(c) 18 cm (d) 21 cm
SSC CHSL 31/05/2022 (Morning)
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Pinnacle Day: 20th - 29th Mensuration
Q.544. The area of a square is Q.552. The total surface area of a SC CHSL 10/06/2022 (Afternoon)
S
2
𝑥 − 12𝑥 + 9 , which of the following
4
2
hemisphere is 64.57𝑐 𝑚 . Find its curved (a) 18 (b) 3 (c) 9 (d) 27
will be the side of the square? urface area(𝑐 𝑚 ).
s
2
Q.561.Whatistheheightofasolidright
SSC CHSL 03/06/2022 (Afternoon) SSC CHSL 08/06/2022 (Morning) ircular cylinder whose radius is 3 cm
c
(a) (2x + 3) (b) (2x - 3) (a) 64.57 (b) 53.44 (c) 43.04 (d) 33.04 2
(c) (3x - 2) (d) (3x + 2) nd total surface area is 60 π𝑐 𝑚 ?
a
Q.553. Find the length of diagonal (m ) SSC CHSL 10/06/2022 (Evening)
Q.545. If the areas of three adjacent f a cuboid13mlong,7mbroadand3
o (a) 3 cm (b) 5 cm (c) 7 cm (d) 9 cm
2
facesofacuboidalboxare729𝑐 𝑚 ,529 m high.
2 2
𝑐 𝑚 and289 𝑐 𝑚 ,respectively,thenfind SSC CHSL 08/06/2022 (Evening) SSC CGL 2021 Tier - 1
the volume of the box. (a) 207 (b) 232 (c) 327 (d) 227
.562. A solid cube of side 8 cm is
Q
SSC CHSL 03/06/2022 (Evening)
3 3 .554. The perimeter of an equilateral
Q dropped into a rectangular container of
(a) 10557𝑐 𝑚 (b) 10560𝑐 𝑚 triangle is 75 cm. Find its area. length 16cm, breadth 8 cm and height
3 3
(c) 10555𝑐 𝑚 (d) 10551𝑐 𝑚 SSC CHSL 08/06/2022 (Evening) 15cm which is partlyfilledwithwater.If
625 2 2 625 3 2
the cube is completely submerged, then
.546.Thediameterofthebaseandthe
Q (a) 𝑐 𝑚 (b) 𝑐 𝑚 the rise of water level (in cm) is :
4 4
slant height of a right circular cone are SSC CGL 11/04/2022 (Morning)
10 cm and 16cm, respectively. Find its 625 3 2 125 3 2
(c) 𝑐 𝑚 (d) 𝑐 𝑚 (a) 2 (b) 6 (c) 5 (d) 4
3 4
2 22
total surface area(𝑐 𝑚 ).[Use π = ]
7
.555. If the curved surface area of a
Q .563. A solid cube of side 8 cm is
Q
SSC CHSL 06/06/2022 (Morning) closed cylinder is 225 cm2 andthearea dropped into a rectangular container of
5720 20
7 1760
of its base is 169 cm2, then find the total length 16cm, breadth 8 cm and height
(a) (b) (c) 330 (d)
7
7 7 15cm which is partlyfilledwithwater.If
surface area (cm2) of the cylinder.
SSC CHSL 09/06/2022 (Morning) the cube is completelysubmerged,then
Q.547. The diagonal of a rhombus is 8
2 (a) 394 (b) 343 (c) 563 (d) 195 the rise of water level (in cm) is :
manditsareais48𝑐 𝑚 ,thenthelength
c SSC CGL 11/04/2022(Morning)
of each side of the rhombus is: .556.Theradiusofarolleris14cmand
Q (a) 2 (b) 6 (c) 5 (d) 4
SSC CHSL 06/06/2022 (Afternoon) its length 20cm. It takes 235 complete
(a) 13 (b) 2 13 (c) 6 13 (d) 5 13 revolutions to moveonceovertolevela Q.564. The length and the breadth of a
playground. Find the area of the r ectangle are made to increase and
Q.548. The total surface area ofasolid 22 decrease, respectively, by 8% and 10%.
ylinderwhoseradiusisrcmandheight
c playground.(Use π = ) What is the percentage increase or
7
𝑟 2 SC CHSL 09/06/2022 (Afternoon)
S decrease in its area ?
is cm (in𝑐 𝑚 ) is :
2 SSC CGL 11/04/2022 (Afternoon)
(a) 4136 cm2 (b) 4136× 103cm2
SSC CHSL 07/06/2022 (Morning) (c) 41360 cm 2
(d) 4136× 102cm2 (a) Decrease by 1.8 (b) Increase by 1.8
2 3
𝑟 2 2 𝑟 (c) Increase by 2.8 (d) Decrease by 2.8
(a)3π (b)4π𝑟 (c)3π𝑟 (d)π Q.557.Thelengthofthehypotenuseofa
2 2
r ight-angled triangle is 37cm and the Q.565. What is the difference in the
.549.The base of a hemispherical bowl
Q length of one of its other two sides is
3
v olume (in 𝑐 𝑚 ) of a sphere ofradius7
has a circumference of 132 cm. Find the 12cm.Whatistheareaofthetrianglein cm and that of a coneofaradius7cm
22 2 22
capacity of the bowl [Use π = ] 𝑐 𝑚 ? and height of 10 cm?[Use π = ]
7 7
SSC CHSL 09/06/2022 (Evening)
SSC CHSL 07/06/2022 ( Afternoon ) SC CGL 12/04/2022 (Morning)
S
3 3
(a) 222 (b) 204 (c) 216 (d) 210
(a) 18240𝑐 𝑚 (b) 19404𝑐 𝑚 (a) 205 (b) 704 (c) 924 (d) 1078
3 3 .558.Whatisthelengthofthearcofa
Q
(c) 19708𝑐 𝑚 (d) 16540𝑐 𝑚
circle whose radius is 35 cm and arc Q.566. If the length of a diagonal of a
.550. Find the volume of the cylinder
Q subtends an angle of 36° at the centre of quare is (a + b), then the area of the
s
circumscribing a spherewithadiameter 22 square is:
the circle ?[Use π = ] SSC CGL 13/04/2022 (Morning)
22 7
f 14 cm. [Use π =
o ] SC CHSL 10/06/2022 (Morning)
S 2 2
1
7 2 2
(a)𝑎 +𝑏 (b)
(𝑎 +𝑏 ) + ab
SSC CHSL 07/06/2022 (Evening) (a) 44 (b) 22 (c) 10 (d) 220 2
3 3 2 2 1 2 2
(a) 2156𝑐 𝑚 (b) 2158𝑐 𝑚 Q.559. The area of quadrilateral is 336 (c)𝑎 +𝑏 + 2ab (d) (𝑎 +𝑏 )
2
3 3
(c) 2155𝑐 𝑚 (d) 2157𝑐 𝑚 2
and theperpendicularsdrawntoone
𝑚 2
diagonal from the opposite vertices are Q.567.Let𝑥𝑐 𝑚 be the surface area and
Q.551. The surface area of a spherical 3
2 16 m and 12 m long. Findthelengthof 𝑐 𝑚 be the volume of a sphere such
𝑦
v olleyball is 100π 𝑐 𝑚 . Find the volume
this diagonal. thaty=14𝑥.Whatistheradius(incm)of
of air enclosed in the ball.
SSC CHSL 10/06/2022 ( Morning) the sphere ?
SSC CHSL 08/06/2022 (Morning)
(a) 28 cm (b) 26 cm (c) 21 cm (d) 24 cm SSC CGL 13/04/2022 (Evening)
400 350
(a) π (b) π (a) 102 (b) 42 (c) 51 (d) 68
3 3 Q.560. How many spherical balls of
500 200 r adius 5 cm can be made by melting a .568. A hemispherical depression of
Q
(c) π (d) π
3 3 spherical clay ball having a radius of 15 diameter4cmiscutoutfromeachface
cm? of a cubical block of sides 10 cm. Find
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Pinnacle Day: 20th - 29th Mensuration
the surface area of the remaining solid SSC CGL 2020 Tier - 2 areaoftheoriginalspheretothesumof
2 22 urface areas of the spheres, so formed?
s
(in𝑐 𝑚 ) (Use π = )
7
.575. A solid metallic cuboid of
Q SSC CGL Tier II (03/02/2022)
SSC CGL 18/04/2022 (Morning) (a) 2 : 1 (b) 2 : 3 (c) 1 : 2 (d) 1 : 4
dimensions 12 cm × 54 cm × 72 cm is
4
4
(a) 900 (b) 112 meltedandconvertedinto8cubesofthe
7 7 .583. A cylindrical tube, open at both
Q
samesize.Whatisthesumofthelateral
3 1 ends, is madeofametalsheetwhichis
(c) 675 (d) 713 2
urface areas (in𝑐 𝑚 ) of 2 such cubes ?
s 0.5cmthick.Itsouterradiusis4cmand
7 7
SSC CGL Tier II (29/01/2022) 3
length is 2m.Howmuchmetal(in 𝑐 𝑚 )
.569. The area of a cardboard(incm²)
Q (a) 2592 (b) 2268 (c) 3888 (d) 1944
has been used in making the tube ?
needed tomakeaclosedboxofsize20
.576.The radius of a spherical balloon
Q SSC CGL Tier II (03/02/2022)
cm× 10 cm× 8 cm will be:
is inflated from 3.5 cm to 4.9 cm by (a) 800π (b) 450π (c) 750π (d) 550π
SSC CGL 18/04/2022 (Evening)
(a) 880 (b) 690 (c) 750 (d) 960 pushing air into it. What is the
Q.584. The base of a right prism is a
percentageincreaseinthevolumeofthe
t riangle whose sides are 8 cm, 15 cm
Q.570. Fromthebodyofasolidcubeof original balloon ?
and17cm,anditslateralsurfaceareais
dge 7 cm, a solid sphere is removed.
e SSC CGL Tier II (29/01/2022) 2 3
The volume of the remaining solid was (a) 74.4% (b) 174.4% (c) 73.6% (d) 173.6% 80𝑐 𝑚 . What is the volume (in𝑐 𝑚 ) of
4
1 3
the prism?
found to be 163 𝑐 𝑚 . What is the Q.577. The radius of the base of a SSC CGL Tier II (03/02/2022)
3
diameter (in cm) of the sphere? ylindricaltankis4m.Ifthreetimesthe
c (a) 540 (b) 600 (c) 720 (d) 640
22 sumoftheareasofitstwocircularfaces
(Use π = ) is twice the area of its curved surface, Q.585.Thecurvedsurfaceareaofaright
7
2
SC CGL 19/04/2022 (Morning)
S thenthecapacity(inkilolitres)ofthetank ircular cone is 2310 𝑐 𝑚 anditsradius
c
(a) 10 (b) 7 (c) 5 (d) 8 is: is 21 cm. If its radius is increased by
SSC CGL Tier II (29/01/2022) 100%andheightisreducedby50%,then
Q.571. The length of a wire (in cm) of (a) 54π (b) 108π (c) 96π (d) 144π its capacity (in litres) will be correct to
.1mm radius that can be drawn from
0 22
melting a solid copper sphere of a .578. The slant height and radius ofa
Q one decimal place) .(Use π = )
7
diameter 6 cm is: right circular cone are in the ratio 29 : 20.
SC CGL Tier II (03/02/2022)
S
3
SSC CGL 19/04/2022 (Evening) If its volume is 4838.4 π𝑐 𝑚 , then its (a) 27.8 (b) 28.2 (c) 26.7 (d) 25.9
(a) 250000 (b) 360000 radius is:
(c) 440000 (d) 810000 SSC CGL Tier II (29/01/2022) SSC MTS 2020 Tier - 1
(a) 20 cm (b) 28 cm (c) 24 cm (d) 25 cm
.572. The inner circumference of a
Q
circular path enclosed between two .579. The base of a right prism is a
Q .586.TheareaofasquareisSandthat
Q
concentric circles is 264m. Theuniform triangle withsides16cm,30cmand34 of the square formed byjoiningthemid
width ofthecircularpathis3m.Whatis cm. Its height is 32 cm. The lateral pointsofthegivensquareisA.Thenthe
the area (in m2 ,to the nearest whole 2
𝐴
surfacearea(in 𝑐 𝑚 )andthevolume(in value of is equal to:
𝑆
22 3
number ) of the path ?.(Use π = ) 𝑐 𝑚 ) are, respectively: SC MTS 05/10/2021 (Morning)
S
7
SSC CGL Tier II (29/01/2022) (a) 0.25 (b) 0.5 (c) 0.125 (d) 1.25
SC CGL 20/04/2022 (Morning)
S
(a) 2560 and 7680 (b) 2688 and 7680
(a) 696 (b) 756 (c) 820 (d) 948 .587.Acontainerintheshapeofaright
Q
(c) 2624 and 7040 (d) 2560 and 6400
Q.573. The total surface area of aright circular cone, whose radius and depth
Q.580.The areas of three adjacent faces are equal, gets completely filled by
yramid,withbaseasasquareofside8
p
2 f a cuboidal solid block of wax are 216
o 128000 spherical droplets, each of
cm,is208 𝑐 𝑚 .Whatistheslantheight
cm², 96 cm² and 144 cm². It is melted diameter 2mm. What is the radius (in
( in cm) of the pyramid?
and8cubesofthesamesizeareformed cm) of the container?
SSC CGL 20/04/2022 (Afternoon)
from it. What is the lateral surfacearea SSC MTS 05/10/2021 (Morning)
(a) 7 (b) 10 (c) 9 (d) 8 2
( in𝑐 𝑚 ) of 3 such cubes? (a) 6 (b) 4 (c) 8 (d) 2
Q.574. A 22.5 mhightentistheshape SSC CGL Tier II (03/02/2022)
Q.588. The total surface area ofasolid
f afrustumofaconesurmountedbya
o (a) 648 (b) 432 (c) 576 (d) 288
r ight circular cylinder of height13cm,is
hemisphere.Ifthediameteroftheupper 2 3
.581. A well with inner radius 3 m, is
Q 880 𝑐 𝑚 . Its volume (in 𝑐 𝑚 )is11k.The
andthelowercircularendofthefrustum
dug6mdeep.Thesoiltakenoutofithas 22
are21mand39mrespectively,thenfind value of k is:(Use π = )
2 been spread evenly all around it to a 7
t he areas of the cloth (in 𝑚 ) used to SC MTS 05/10/2021(Afternoon)
S
width of 2 m to form an embankment.
make the tent (ignoring the wastage). (a) 208 (b) 182 (c) 104 (d) 91
The height (in m) of the embankment is:
22
(Use π = ) SSC CGL Tier II (03/02/2022)
7
1 1 1 3 Q.589.TheareaofaparallelogramABCD
SSC CGL 21/04/2022(Evening) (a) 4 (b) 4 (c) 3 (d) 3 2
2 4 4 8 is 300 𝑐 𝑚 . The distance between AB
2
2
(a) 787 (b) 2107 and CD is 20cm and the distance
7 7 Q.582.Asolidmetallicsphereofradius4 betweenBCandADis30cm.Whatisthe
6 2 mismeltedandrecastintospheresof2
c
(c) 1635 (d) 2800 perimeter (in cm) of the parallelogram?
7 7 cmeach.Whatistheratioofthesurface SSC MTS 05/10/2021 (Evening)
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Pinnacle Day: 20th - 29th Mensuration
(a) 60 (b) 50 (c) 40 (d) 100 22 o material is lost in recasting?
n
closest to: (Use π = )
7 SSC MTS 12/10/2021 (Afternoon)
Q.590.The radii of the circular ends of a SC MTS 08/10/2021 (Afternoon)
S 3 3
𝑟
4 𝑟
4
f rustum ofaconeare20cmand13cm (a) 196 (b) 201 (c) 197 (d) 198 (a) (b)
3𝑎
( 2
𝑎− 𝑏
) 3𝑎
( 𝑏
+𝑎 ) (𝑏−𝑎
)
and its height is 12 cm. What is the 3 3
capacity(inlitres)ofthefrustum(correct .598. A rectangular plot is420mlong
Q 𝑟
4 𝑟
4
(c) (d)
and 84 m wide. It is surrounded by 3𝑎
( 𝑏
−𝑎 ) 3𝑎
( 2
𝑏 −𝑎
)
22
to one decimal place)? (Use π = )
7 semi-circular flower beds along all its
Q.605. The radiusofthebaseofacone
SC MTS 06/10/ 2021 (Morning)
S sides. The area of the entire plot (in
ndalsothatofahemisphereeachis14
a
(a) 10.4 (b) 11.2 (c) 10.8 (d) 11.4 hectares) is x. The value of x (correct to
cm. Also, the volumes of these two
22
.591. If the widthofthepatharounda
Q one decimal place) is: (Use π = ) solidsareequal.Thecurvedsurfacearea
7
squarefieldis4.5mandtheareaofthe 22
SC MTS 08/10/2021 (Evening)
S of the cone is: (Takeπ= )
2 7
path is 252 𝑚 , then the length of the (a) 19.1 (b) 18.7 (c) 17.9 (d) 19.4
SSC MTS 12/10/2021 (Evening)
ide of the field is:
s
Q.599. From a wooden cubical blockof (a) 614 5(b) 626 5(c) 616 5(d) 516 5
SSC MTS 06/10/ 2021 (Morning)
(a) 9.5 m (b) 9 m (c) 8 m (d) 8.5 m ide10cm,asphereofradius4.2cmis
s
.606. Aboywalkedalongtwoadjacent
Q
carvedout.Howmuchwoodiswastedin
sides of a rectangular field. If he had
.592. Asolidmetalcubeofedge12cm
Q 22
the process (Use π = ) walkedalongthediagonal,thenhewould
is immersed completely in water in a 7
SSC MTS 11/10/2021(Morning) have saved a distance equal to
cylindrical vesselwhoseradiusis20cm
3 3 one-fourth ofthelargerside.Theratioof
andheightis32cm,andthewaterinthe (a) 476.2𝑐 𝑚 (b) 689.536𝑐 𝑚
the larger to the smaller side is:
vessel is up to a height of 15 cm. The 3 3
(c) 310.464𝑐 𝑚 (d) 523.8𝑐 𝑚
height(incm)bywhichthewaterwillrise SC MTS 13/10/2021 (Morning)
S
in the vessel is (correct to one decimal Q.600. A typist uses a paper of size32 (a) 7 : 24(b) 11 : 18 (c) 24 : 7 (d) 18 : 11
place): m× 20cm.Heleavesamarginof2cm
c
.607. The length of a rectangle is
Q
SSC MTS 06/10/2021 (Evening) each on all the sides. If he leaves a
three-fifth of the radius of a circle. The
(a) 0.9 (b) 1.4 (c) 1.2 (d) 1.1 marginof1cmonlyonallthesides.then
radiusofthecircleisequaltothesideof
whatisthepercentageoftheincreasein 2
.593. Fromeachofthefourcornersof
Q asquarewhoseareais6400𝑚 .Findthe
theareaavailablefortyping(correctto2
arectangularsheetofdimensions48cm 2
rea (in 𝑚 ) of the rectangle, if the
a
decimal places)?
× 27 cm, a square ofside3.5cmiscut breadth is 20 m is:
SSC MTS 11/10/2021 (Morning)
offandaboxismade.Thevolumeofthe SSC MTS 13/10/2021 (Morning)
(a) 20.54% (b) 82.69%
box is: (a) 1200 (b) 480 (c) 960 (d) 1000
(c) 17.04% (d) 79.46%
SSC MTS 07/10/2021 (Morning)
(a) 2880 (b) 2780 (c) 2870 (d) 2860 Q.601. A rectangular water reservoir .608. Kamala has three cylindrical
Q
ontains 126 kilolitres of water. The
c containers, each with radius 20 cmthat
.594. Apath6mwiderunsaroundand
Q she wants tofillwithgrain.Ifherbagof
depth of the reservoir is 3.5 m and its
outside of a rectangular plot of length grain contains 1 00 kg of grain, and she
length measures 8m. What is the width
10m and breadth 8m. Find the area(in fillsallthreecontainerstoaheightof70
of the reservoir?
2
) of path ?
𝑚 SSC MTS 11/10/2021 (Afternoon) cm, how much grain will be left in the
SSC MTS 07/10/2021 (Afternoon) (a) 4.5 m (b) 4.2 m (c) 4 m (d) 5 m bag. If 1 kg grain occupies 3000 𝑐 𝑚
3
(a) 440 (b) 600 (c) 80 (d) 360 22
.602. A hall is 18 m long and 12 m
Q space ? (Use π = )
7
Q.595. The internal dimensions of a broad.Ifthesumoftheareasofthefloor
SC MTS 13/10/2021 (Afternoon)
S
r ectangular closed wooden box are 30 and the ceiling is equal to the sum of the
(a) 88 kg (b) 50 kg (c) 58 kg (d) 12 kg
cm , 18cm and 23cm,. What space (in 3
reasofthefourwalls,thevolume(in𝑚
a
3
𝑐 𝑚 ) will it occupy, if the wood used is ) of the hall is: Q.609. Theradiusofasphericalballoon
1cm thick? SSC MTS 12/10/2021 (Morning) increases from 6 cm to 10 cm when
SSC MTS 08/10/2021 (Morning) (a) 1175.5 (b) 1876.2 more air is pumped into it. The ratio of
(a) 12420 (b) 16000 (c) 1555.2 (d) 1376.4 the surface area of the original balloon
(c) 14136 (d) 9408 and the inflated balloon is:
Q.603.Awoodenpieceintheshapeofa SSC MTS 13/10/2021 (Afternoon)
.596. A solid metallic cylinder with a
Q uboidisdividedintofiveequalpartsby
c (a) 4 : 5 (b) 27 : 125 (c) 3 : 5 (d) 9 : 25
baseradiusof3cmandaheightof120 cutting itwithfourcutsperpendicularto
cmismeltedandrecastintoasphereof itslength,anditturnsoutthateachpiece Q.610. The radius of a cylinder is
radiusrcm.Whatisthevalueofrifthere 3 r educedto50%ofitsactualradius.Ifits
is a cubeofvolume27𝑐 𝑚 .Whatisthe
is a 10% metal loss in the conversion? 2 volumeremainsthesameasbefore,then
SSC MTS 08/10/2021 (Afternoon) t otal surface area (in𝑐 𝑚 ) of the cuboid? its height becomes k times the original
(a) 9 (b) 8 (c) 13.5 (d) 12 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)
Q.597.Thedifferencebetweentheareas (a) 2 (b) 16 (c) 8 (d) 4
2 Q.604.The material of a sphere of radius
f two concentric circles is 88 𝑐 𝑚 .If
o
r is melted and recast into a hollow Q.611. The length a readth of a
nd b
theradiusoftheinnercircleis 6cmthen
cylindrical shellofthicknessaandouter r ectangle are 35 cm and 12 cm,
2
the area ( in𝑐 𝑚 ) of the larger circle is radiusb. What is its length assuming that
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Pinnacle Day: 20th - 29th Mensuration
r espectively. What will be the SC MTS 20/10/2021 (Evening)
S 3
capacity of the bucket (in𝑐 𝑚 ) is :
circumferenceofthecirclethatinscribes (a) 11025π (b) 3030π
22
22 (c) 11020π (d) 3036π (π = )
this rectangle ? (π = ) 7
7
Q.618. A solid right circular cone is cut SSC MTS 02/11/2021 (Morning)
SSC MTS 14/10/2021 (Evening)
3
1 into two parts by a plane parallel to its (a) 8800𝑐 𝑚
3
(b) 13200𝑐 𝑚
3
(a) 115 m
c (b) 117 m
c base and at a point one-third vertically
7 7 3 3
4 2 below itsvertex.Whatistheratioofthe (c) 17000𝑐 𝑚 (d) 17600𝑐 𝑚
(c) 114 cm (d) 116 cm
7 7 volumeofthesmallerconetothatofthe
.626. A rectangle of dimension 10cm
Q
whole cone ?
Q.612.Foursolidcubes,eachofvolume and 5 cm is placed adjacent toanother
SSC MTS 20/10/2021 (Evening)
3
728 𝑐 𝑚 ,are kept in two rows having
1 rectangle of the samesizetodrawanL
1
1 1
1
two cubes in each row. They form a (a) (b) (c) (d) shape figure. Find the perimeter of the
9 8 27 3
rectangularsolidwithasquarebase.The shape so formed.
2) Q.619.Ahorseracecourseisintheform SSC MTS 02/11/2021 (Morning)
t otal surface area (in 𝑐 𝑚 of the
fanannularringwhoseouterandinner
o (a) 100 (b) 40 (c) 50 (d) 60
resulting solid is:
circumferences are 748 m and 396 m,
SSC MTS 18/10/2021 (Afternoon) Q.627. The total surface area of a
respectively. The width (in m) of the
(a) 1440 (b) 2304 (c) 576 (d) 1152 emisphereis nearlyequaltothatofan
h
22
racecourse is: (π = ) equilateral triangle. The side of the
Q.613. A right circular coneisinscribed 7
triangle is how many times
in a cube of side 14 cm occupying the SC MTS 22/10/2021 (Morning)
S
(approximately) of the radius of the
maximum space possible. What is the (a) 176 (b) 88 (c) 56 (d) 28
hemisphere?
ratio of the volume of the cube to the
.620.Thediameterofanironballused
Q SSC MTS 02/11/2021 (Evening)
22
volume of the cone ? (π = ) for shot-put is 21 cm. It is melted and 8π
4π 0.5
7 (a) ( ) 0.5 (b) ( )
thenacylinderofheight3.5cmismade. 3 3
SC MTS 18/10/2021 (Afternoon)
S
The curved surface area of the cylinder 0.5
0.5
(a) 81 : 22 (b) 11 : 42 (c)(2π 3) (d)(4π 3)
will be
(c) 42 : 11 (d) 22 : 81
SSC MTS 22/10/2021 (Afternoon) .628. When a rectangle is divided into
Q
.614. Three circles,eachhavingradius
Q (a) 462 (b) 464 (c) 362 (d) 460 three equal parts, each of them turns out
equal to 4 cm, are drawn with the to be a square of 16 cm2 What is the
vertices of an equilateral triangleasthe .621. A hall is 18 m long and 12 m
Q
perimeter (in cm) of the rectangle?
centres. Ifthelengthofeachsideofthe broad. Iftheareaofthefloorisequalto
SSC MTS 02/11/2021 (Evening)
triangleisequalto8cm,thenwhatisthe the sum of the areas of the four walls,
(a) 64 (b) 16 (c) 32 (d) 48
2 the volume (in m3 ) of the hall is:
rea(in𝑐 𝑚 )oftheportionofthetriangle
a
SSC MTS 22/10/2021 (Evening) 2
thatisNOTcoveredbythesectorsofthe Q.629.Thearea(in 𝑐 𝑚 )ofasectorofa
(a) 876.2 (b) 777.6 (c) 576.4 (d) 675.5 4π
circles ? circleofradius2cmis . Whatisthe
SSC MTS 18/10/2021 (Evening) 5
.622.Theareaofatriangularfieldwith
Q
entral angle (in degrees) of the sector?
c
(a) 16 (2 3− π) (b) 8 (2 3− π) sides60m,175mand185misequalto
SSC MTS 02/11/2021 (Evening)
π π that of a rectangular park whose sides
(c) 8 (2 3− ) (d) 16 (2 3− ) (a) 60 (b) 75 (c) 36 (d) 72
2 2 are intheratioof21:10.Theperimeter
(in m) of the park is:
Q.615.Three cubes each having volume SSC MTS 26/10/2021 (Afternoon) SSC CGL 2020 Tier - 1
3
728 c𝑚 are placed one above the
1 (a) 341 (b) 403 (c) 372 (d) 310
Q.630.Aheapofwheatisintheformof
other. What is the total surface area of
.623.Acircularwireofdiameter56cm
Q cone whose base diameter is 8.4 m
a
the resulting solid?
is folded in the shape of a rectangle and height is 1.75 m. Theheapistobe
SSC MTS 20/10/2021 (Morning)
whose sides are in the ratio 7 : 4. The covered by canvas. What is thearea(in
(a) 2304 (b) 2592 (c) 2160 (d) 2016
area enclosed by the rectangle is: 22
m2) of the canvas required ? (π = )
Q.616.Inthegivenfigure,theareaofthe SSC MTS 26/10/2021 (Evening) 7
nshaded region is 35% of the area of
u (a) 1842 (b) 1792 (c) 1684 (d) 1782 SC CGL 16/08/2021 (Afternoon)
S
theshadedregion.Whatisthevalueofx (a) 60.06 (b) 115.05 (c) 63.6 (d) 115.5
.624. A solid metallic toy has a
Q
hemispherical base with radius 3.5 cm .631. The area of the square shaped
Q
surmounted by a cone. If the height of field is 1764 m². The breadth of a
the cone is the same as the radius of its rectangular park is 1/3rdthesideofthe
base, then the volume of metal used in cm3 square field and its length is two times
SSC MTS 20/10/2021 (Morning)
SSC MTS 27/10/2021 (Morning) its breadth. What is the cost (in Rs.) of
( a) 20 (b) 15 (c) 10 (d) 5
2
3 3 2 leveling the park at Rs.15 per m² ?
(a) 89 (b)144 (c) 134 (d)179
Q.617.Thesumoftheheightandradius 3 4 4 3 SSC CGL 16/08/2021 (Evening)
f the base of a solid right circular
o (a) 4200 (b) 4290 (c) 5880 (d) 4320
Q.625. A bucket in the shape of the
cylinderis46cm.Ifthetotalsurfacearea
f rustumofaconehasitstopandbottom Q.632.Thevolumeofawallwhoseheight
2
ofthesolidcylinderis6072𝑐 𝑚 , whatis radii as 20 cm and 10 cm, respectively. is10timesitswidthandwhoselengthis8
3 The depth of the bucket is 24 cm. The times its height, is 51.2 m³. What is the
the volume ( in𝑐 𝑚 ) of the cylinder ?
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cost (in Rs.) of painting the wall on one SC CHSL 04/08/2021 (Morning)
S ectors of the circle ?
s
ide at the rate of Rs.100/m² ?
s (a) 88 (b) 94 (c) 80 (d) 66 SSC CPO 23/11/2020 (Morning)
SSC CGL 20/08/2021 (Afternoon) (a) 27.72 (b) 120 (c) 105.86 (d) 92.28
(a) 12750 (b) 12500 (c) 12800 (d) 12250 Q.641. The inner and outer radii of two
oncentriccirclesare6.7cmand9.5cm
c .649.A9cmsolidmetalliccubeanda
Q
.633.Asquarehastheperimeterequal
Q respectively. What is the difference solid metallic cuboidhavingdimensions
to the circumference of a circle having between their circumferences (in cm)? 5cm,13cm,31cmaremeltedandrecast
radius7cm.Whatistheratioofthearea 22 into a single cube. What is the total
( π = )
of the circle to the area of the square? 7 2
urface area(in𝑐 𝑚 ) of the new cube?
s
SSC CGL 23/08/2021 (Afternoon) SC CHSL 04/08/2021 (Morning)
S SSC CPO 23/11/2020 (Evening)
(a) 7 : 2 (b) 14 : 11 (c) 7 : 11 (d) 121 : 44 (a) 20.5 (b) 10.4 (c) 6.5 (d) 17.6 (a) 2744 (b) 1362 (c) 865 (d) 1176
Q.634. The area of the circular path Q.642. From a rectangle sheet of Q.650. Arectangularlawnwhoselength
nclosed by two concentric circles is
e imensions 32cm × 18 cm,asquareof
d is twice of its breadth is extended by
3080 m2. If the difference between the side3cmiscutfromthefourcornersof having four semi-circular portionsonits
radius of the outer edgeandthatofthe thesheetandaboxismade.Thevolume sides. What is the total cost (in Rs.) of
inner edge of the circular path is 10m, of the box is: levelling the entire lawn at the rate of
what is the sum (in m) of the two radii? SSC CHSL 05/08/2021 (Afternoon) Rs.100 per square metre if the smaller
SSC CGL 23/08/2021 (Afternoon) (a) 946 (b) 936 (c) 1305 (d) 1300 side of the rectangular lawn is 12 m :
(a) 70 (b) 112 (c) 98 (d) 84 SSC CPO 23/11/2020 (Evening)
.643.Howmanysphericalbullets,each
Q
bullet being 7 cm in diameter, can be (a) 85,320 (b) 86,540
SSC CHSL 2020 Tier - 1 made out ofacubeofleadwhoseedge (c) 78,650 (d) 97,625
22
Q.635. One diagonal of a rhombus is measures 77 cm? (π = ) .651. A9cmsolidmetalliccubeanda
Q
7
solid metallic cuboidhavingdimensions
8 3𝑐 𝑚. If the otherdiagonalisequalto SC CHSL 05/08/2021 (Evening)
S
5cm,13cm,31cmaremeltedandrecast
its side, then the area of rhombus is: (a) 1452 (b) 4521 (c) 2451 (d) 2541
into a singlecube.Howmuch(inRs.)is
SSC CHSL 12/04/2021 (Morning)
.644.Thebaseofatriangleisequalto
Q the cost to polish the new cube at the
(a)12 3 (b)24 3 (c)16 3 (d)32 3 2
the perimeter of a square whose r ate of Rs.10 per𝑐 𝑚
.636.The sum of the radius of the base
Q iagonalis7 2cmanditsheightisequal
d SSC CPO 24/11/2020 (Morning)
and the heightofaclosedsolidcylinder to the side of a square whose area is 169 (a) 13,620 (b) 11,760 (c) 8,650 (d) 27,440
is12.5cm.Ifthetotalsurfaceareaofthe cm2. The area(in cm2) of the triangle is :
2
2 SSC CHSL 06/08/2021 (Afternoon) .652. A hexagon is 1944 3𝑚
Q . What
ylinder is 275𝑐 𝑚 , then its radius is:
c
(a) 182 (b) 175 (c) 156 (d) 130 willbe thecost(inRs)offencingitatthe
SSC CHSL 12/04/2021(Evening)
rate of Rs.11.50 per metre?
(a) 3 cm (b) 3.5 cm (c) 5cm (d) 7 cm .645.How many bricks each measuring
Q SSC CPO 24/11/2020 (Morning)
.637. What is the perimeter of a
Q 64𝑐 𝑚 × 11. 25𝑐 𝑚 × 6𝑐 𝑚, will be (a) 2,256 (b) 2,785 (c) 3,200 (d) 2,484
right-angled triangle whose sides (maki- needed to build a wall measuring
8𝑚 × 3𝑚 × 22. 5𝑚? .653. The base of a triangle is equalto
Q
- ng 90°) are20 3𝑐 𝑚and15 3𝑐 𝑚? the perimeterofasquarewhosediagonal
SSC CHSL 11/08/2021 (Morning)
SSC CHSL 13/04/2021 (Morning)
(a) 200000 (b) 250000 is 6 2cm , and its height is equal to the
(a)60 3 (b)55 3(c)65 3(d)50 3 (c) 67500 (d) 125000 2
side of a square whose area is 144 𝑐 𝑚 .
Q.638. The perimeter of an isosceles .646.Theperimeterofarectangleis86
Q he area of the triangle (in𝑚 )
T
2
1 cm. The measures of its area and SSC CPO 24/11/2020 (Evening)
triangle is 91 cm and its base is 1
4 (a) 144 (b) 216 (c) 288 (d) 72
breadth are in the ratio of 9 : 1,
timeseachofitsequalsides.Whatisthe
respectively.Thebreadthoftherectangle
length of its base ? ( in cm) Q.654. Theperimeterofasquareishalf
is:
SSC CHSL 16/04/2021 (Morning) t he perimeter of a rectangle. The
SSC CHSL 11/08/2021 (Evening)
(a) 35 (b) 20 (c) 25 (d) 28 perimeter of the square is 40m. If its
(a) 32 cm (b) 34 cm (c) 36 cm (d) 30 cm
breadth is two-thirds of its length, then
.639. The lengths of three sides of a
Q what is the area of the rectangle ?
Q.647. The square of the diagonal of a
triangle are in the ratio 3:4:5. Among 2 SSC CPO 25/11/2020 (Morning)
cube is 2175𝑐 𝑚 . What is the total
three sides, the difference between the (a) 321 (b) 196 (c) 400 (d) 384
2
largestsideandthesmallestsideofthis urface area ( in𝑐 𝑚 ) of the cube?
s
triangle is 3.6 cm. The area of this SSC CHSL 12/08/2021 (Afternoon)
(a) 4305 (b) 4272 (c) 4530 (d) 4350
SSC CGL 2019 Tier - 2
triangle is:
SSC CHSL 16/04/2021 (Evening)
Q.655.Theareasofthreeadjacentfaces
(a) 19.44 (b) 32.4 (c) 21.75 (d) 15.64 SSC CPO 2020 Tier - 1 2 2
of a cuboidal tankare 3𝑚 , 12𝑚 and
.640.One - quarter of a circular pizza of
Q 2
Q.648.The sides of a triangle are 24cm, 6𝑚 . Thecapacityofthetankinlitres
1
d
iameter 28 cm was removed from the
6cm and 10cm. At each of its vertices,
2 is :
whole pizza. What is the perimeter (in
circles of radius 4.2 cm are drawn. What SSC CGL Tier II (15/11/2020)
22
cm) of the remaining pizza? (π = ) 2 (a) 48000 (b) 24000
7 is the area (in 𝑐 𝑚 ) of the triangle,
(c) 72000 (d) 36000
excluding the portion covered by the
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Q.656. The base of a right pyramidisa 2
rea (in𝑐 𝑚 ) of the remaining solid?
a respectively, and its height isdecreased
quareofaside10cm.Ifitsheightis10
s SSC CGL Tier II (16/11/2020) y 20%. The percentage increase in the
b
c
2
m, then thearea(in 𝑐 𝑚 )ofitslateral (a) 326.25π (b) 416.25π volume of the cuboid is:
surface is: (c) 472.5π (d) 270π SSC CHSL 14/10/2020 (Morning)
SSC CGL Tier II (15/11/2020)
4
1
2
3
(a) 5 % (b) 5 % (c) 5 % (d)5 %
.664.Ahemisphericaltankfullofwater
Q 5 5 5 5
(a)100 (b)100( 5+ 1)
is emptied by a pipe at the rate of 7.7
(c)50 5 (d)100 5 litres per seconds. How much time(in Q.671.In the given figure, the ratio of the
2 rea of the largest squaretothatofthe
a
.657.Theheightofacylinderis30cm
Q hours)willittaketoempty partofthe smallest square is:
3
and the diameter of its base is 10 cm.
tank if the internal radius of the tank is
Two identical conical holes each of
0.5 m ?
1
radius 5 cm and height of 12 cm are
SSC CGL Tier II (16/11/2020)
drilled out. what is the surface area (in
185 75
1 85
1 75
1
2
𝑐 𝑚 ) of the remaining solid? (a) (b) (c) (d)
6
3
3
2
SSC CGL Tier II 15/11/2020 SSC CHSL 14/10/2020 (Afternoon)
(a) 230π (b) 430π (c) 330π (d) 120π .665. A solid metallic cuboid of
Q (a) 4 : 1 (b) 2: 1 (c) 3 : 1 (d) 2 : 1
dimensions 18 cm × 36cm × 72cm is
.658. The base of a right prism is a
Q melted and recast into 8 cubes of the .672. Water flowsintoatank180m×
Q
regular hexagon of side 5 cm. If its same volume. What is the ratio of the 140 m through a rectangular pipe of
height is 12 3c
m, then its volume (in total surface area of the cuboid to the 1.2m × 0. 75𝑚 at a rate of 15 km/h. In
3 sum of the lateral surface area of all 8 what time will the water rise by 4 m ?
𝑐 𝑚 )
cubes ? SSC CHSL 14/10/2020 (Afternoon)
SSC CGL Tier II (15/11/2020)
SSC CGL Tier II (16/11/2020) (a) 6 hours 42 minutes
(a) 900 (b) 1800 (c) 1350 (d) 675
(a) 2 : 3 (b) 7 : 8 (c) 4 : 7 (d) 7 : 12 (b) 7 hours 28 minutes
.659. A spherical metallic shell with 6
Q (c) 5 hours 46 minutes
cm external radiusweighs6688g,What .666. The base of a right prism is a
Q (d) 8 hours 12 minutes
isthethicknessoftheshellifthedensity squarehavingsideof15cm.Ifitsheight
2 2
3 22 is 8 cm, then find the total surface area. .673. The area of a rectangle is 𝑎 - 𝑏
Q
of metal is 10.5 g per cm π = ) SSC CGL Tier II (18/11/2020)
7 and its length is a + b, what will be its
2 2
SSC CGL Tier II (15/11/2020) (a) 920𝑐 𝑚 (b) 930𝑐 𝑚 b readth ?
1 2 2 SSC CHSL 15/10/2020 (Morning)
(a) 2 cm (b) 3 cm (c) 2 cm (d) 4 cm (c) 900𝑐 𝑚 (d) 940𝑐 𝑚
2 (a) 2ab (b) a + b (c) ab (d) a - b
Q.667. If the perimeter of an isosceles
.660.The sum of the radii of spheres A
Q .674. The area of the largest triangle
Q
r ight triangle is 8( 2 + 1) cm, then the
and B is14cm,theradiusofAislarger that can be inscribed in a semicircle of
length of the hypotenuse of thetriangle
than that of B. The difference between radius 4 cm in square centimetres is
is:
their surface area is 112π. What is the SSC CHSL 15/10/2020 (Evening)
SSC CGL Tier II (18/11/2020)
ratio of volumes of A and B ? (a) 16 (b) 14 (c) 12 (d) 18
(a) 10 cm (b) 8 cm (c) 24 cm (d) 12 cm
SSC CGL Tier II (15/11/2020)
(a) 64 : 27 (b) 8 : 1 (c) 125 : 64 (d) 27 : 8 .675.Theareaofasquareparkis16x2
Q
SSC CHSL 2019 Tier - 1 + 8x + 1. What is the length of the park?
.661. If the radius of a sphere is
Q SSC CHSL 16/10/2020 (Afternoon)
increasedby2.5decimeter(dm),thenits Q.668.Inthefigure,Listhecentreofthe (a) (4x - 1) units (b) (4x + 1) units
surfaceareaincreasesby110𝑑𝑚 .What
2
ircle,andMListheperpendiculartoLN.
c (c) (4x + 1)2 units (d) 4x units
2
is the volume(in𝑑𝑚 ) of the sphere IftheareaofthetriangleMLNis36,then
.676. A triangle PQR is a right angled
Q
SSC CGL Tier II (16/11/2020) the area of the circle is:
triangleatQ.EandFarethemidpoints
3 1
1 3
1
4 of QR and PR respectively. What willbe
(a) (b) (c) (d)
7 21 21 7 theratiooftheareaofquadrilateralPQEF
to the area of triangle PQR.
Q.662. A cylindrical roller made up of
SSC CHSL 19/10/2020 (Morning)
iron is1.2mlong.Itsinternalradiusis24
2
3 3 4
cmandthicknessoftheironsheetused (a) (b) (c) (d)
SC CHSL 12/10/2020 (Afternoon)
S 3 4 2 3
inmakingtherolleris15cm.Whatisthe
(a) 70π (b) 72π (c) 66π (d) 68π
3
eight(inkg)oftheroller,if1𝑐 𝑚 ofthe
w .677.Three sides of a triangle measure
Q
iron has 8 g mass ? .669. A cylindricalvesselwithradius6
Q 6 cm, 10 cm and x cm. The minimum
SSC CGL Tier II (16/11/2020) cm and height 5 cm is to be made by integral value of x is:
(a) 892.8π (b) 907.2π melting a number of spherical metal SSC CHSL 19/10/2020 (Evening)
(c) 846.72π (d) 845.75π balls of diameter 2 cm. The minimum (a) 2 (b) 1 (c) 3 (d) 5
number of balls needed is:
.663. From a solid cylindrical wooden
Q SSC CHSL 13/10/2020 (Morning) .678. ABC is a right angled triangle,
Q
blockofheight18cmandradius7.5cm,a (a) 125 (b) 135 (c) 115 (d) 105 right angled atA.Acircleisinscribedin
conical cavity of sameradiusandsame it. The lengths of two sides containing
height is taken out. What is total surface .670. The length and breadth of a
Q the right angle are 48 cm and 14 cm. The
cuboid are increased by 10% and 20%, radius of the inscribed circle is:
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Pinnacle Day: 20th - 29th Mensuration
SC CHSL 20/10/2020 (Morning)
S Q.688. The length of tangents drawn surfaceisfourtimestheareaofitsbase.
(a) 4 cm (b) 6 cm (c) 8 cm (d) 5 cm f rom an external point to the circle are: hat is the volume of the cone (in 𝑚
W
3
SSC CHSL 19/03/2020 (Morning) and correct up to 3 decimal places)
.679. Two concentric circles form a
Q (a) not equal (b) perpendicular SSC CPO 09/12/2019 (Morning)
ring. The inner and outer circumference (c) parallel (d) equal (a) 3.316 (b) 3.384 (c) 2.994 (d) 2.625
of the ring are 22 cm and 44 cm
respectively. The width of the ring is: Q.696.60 discs each of diameter 21 cm
SSC CHSL 20/10/2020 (Afternoon)
SSC CGL 2019 Tier - 1
1
(a) 3.5 cm (b) 1.5 cm (c) 2.5 cm (d) 3 cm and thickness cm are stacked one
3
Q.689. A race track is intheshapeofa
bove the other to form arightcircular
a
Q.680.A, B and C are three points on the r ing whose inner and outer
cylinder. What isitsvolumeinm3 if(π=
ircle. If AB = AC = 7 2cmand∠BAC=
c circumferences are 440m and 506m,
22
90°, then the radius is equal to: respectively. What is the cost of levelling ) ?
7
SSC CHSL 21/10/2020 (Afternoon) 22
the track at ₹6/m2 ? (π = ) SC CPO 09/12/2019 (Morning)
S
7
(a) 14 (b) 7 (c)7 2 (d) 6 (a) 4.25× 10-2 (b) 8.05× 10-3
SC CGL 03/03/2020 (Afternoon)
S -2
(c) 7.62× 10 (d) 6.93× 10-3
.681.InanisoscelestriangleABC,AB=
Q (a) ₹18,966 (b) ₹24,832
ACandADisperpendiculartoBCatD.If (c) ₹19,866 (d) ₹29,799 .697.Acylinder84cmlongismadeof
Q
AD = 8 cm and perimeter of ∆ABC is steel. Itsexternalandinternaldiameters
Q.690. A cylindrical vessel of radius
64cm, then the area of∆ABC are10cmand8cmrespectively.Whatis
0cm and height 42 cm isfullofwater.
3
SSC CHSL 26/10/2020 (Evening) thevolumeofthesteelinthecylinder(in
Its contents are emptied into a
(a) 130 (b) 124 (c) 120 (d) 125 10-3 m3 and correct upto three decimal
rectangular tub of length 75cm and
places) ?
.682. If M is the mid point oftheside
Q breadth 44cm. The height(in cm) to
SSC CPO 09/12/2019 (Morning)
BCof ∆ABC,andtheareaof ∆ABMis18 which the water rises in the tub is:
(a) 2.112(b) 2.376 (c) 4.752 (d) 9.504
2 22
𝑐 𝑚 , then the area of∆𝐴 𝐵𝐶is: (π = )
7
SSC CHSL 17/03/2020 (Morning) Q.698. A field is in the shape of a
SC CGL 04/03/2020 (Afternoon)
S t rapeziumwhoseparallelsidesare200m
(a) 30 (b) 34 (c) 36 (d) 32
(a) 36 (b) 30 (c) 40 (d) 45 and 400m long, whereas each of the
.683. A 5 cm long perpendicular is
Q other two sides is 260m long . what is
.691. The diagonal of a square A is
Q
drawnfromthecentreofacircletoa24 2
t he area (in𝑚 ) of the field ?
(a+b) units. What is the area (in square
cm long chord. Findthediameterofthe SSC CPO 11/12/2019 (Morning)
units) of the square drawn on the
circle. (a) 48000 (b) 52000
diagonalofsquareBwhoseareaistwice
SSC CHSL 17/03/2020 (Morning) (c) 72000 (d) 60000
the area of square A ?
(a) 32 cm (b) 13 cm (c) 30 cm (d) 26 cm
SSC CGL 05/03/2020 (Morning)
2 2 Q.699.Asolidmetallicsphereofradiusx
.684.The length of a rectangular plot is
Q (a)(𝑎 + 𝑏) (b) 2(𝑎 + 𝑏) m is melted and then drawn into 126
c
five times its breadth. If the areaofthe (c)4(𝑎 + 𝑏)
2
(d)8(𝑎 + 𝑏)
2
coneseachofradius3.5cmandheight3
2
r ectangular plot is 2000𝑚 , then what is cm. There is no wastage of material in
the breadth of the rectangular plot ? Q.692. A circular disc of area 0.64Πm2
this process. What is the value of x ?
SSC CHSL 18/03/2020 (Evening) rolls down a length of 1.408 km. The
SSC CPO 11/12/2019 (Morning)
(a) 40 m (b) 10 m (c) 20 m (d) 30 m number of revolutions it make is:
(a) 10.5 (b) 7 (c) 3.5 (d) 21
22
(π = )
.685. Two small circular grounds of
Q 7 Q.700. In ∆ABC, ∠A = 90°, AB = 16 cm
diameters 42 m and 26 m are to be SC CGL 06/03/2020 (Morning)
S ndAC=12cm.DisthemidpointofAC
a
replaced by a bigger circular ground. (a) 280 (b) 360 (c) 140 (d) 180 and DE ⊥CB at E. What is the area (in
What would be the radius of the new 2
f∆CDE ?
𝑐 𝑚 )o
.693. If the perimeter of a certain
Q
ground if the new ground hasthesame SSC CPO 11/12/2019 (Evening)
rectangle is 50 units anditsareais150
area as the two small grounds ? (a) 8.64 (b) 7.68 (c) 5.76 (d) 6.25
sq . units, then how many units is the
SSC CHSL 18/03/2020 (Evening)
length of its shorter side?
(a) 24.69 (b) 23 (c) 25 (d) 25.01 .701. A right circular cone of largest
Q
SSC CGL 07/03/2020 (Afternoon)
volume is cut from a solid wooden
Q.686. In an isosceles right-angled (a) 9 (b) 12 (c) 10 (d) 15
hemisphere. The Volume of the
t riangle, the perimeter is 30 m. Find its remaining portion iswhatpercentageof
2 .694. The volumes of sphere A and B
Q
rea ( In𝑚 Approximate.)
a are in the ratio 125 : 64. If the sum of the volume of the original hemisphere?
S SC CHSL 18/03/2020 (Evening) radii of A and B is 36 cm, then the SSC CPO 12/12/2019 (Morning)
(a) 38.63 (b) 39.60 (c) 37.86 (d) 40 surface area (in cm2) of A is: (a) 50% (b) 33.33% (c) 75% (d) 66.66%
.687. The radius a circular cone is R
Q SSC CGL 09/03/2020 (Afternoon)
Q.702. A conical vessel whose internal
and its height is H. the volume of cone is: (a) 512 π (b) 1600 π (c) 800 π (d) 1024 π
aseradiusis18cmandheight60cmis
b
SSC CHSL 19/03/2020 (Morning) full of a liquid. The entire liquid of the
2
π𝑅 𝐻 2 SSC CPO 2019 Tier - 1 vesselisemptiedintoacylindricalvessel
(a) (b)
3 3π
𝑅
2
𝐻 withinternalradius15cm.Theheight(in
2 2 .695.Theheightofarightcircularcone
Q cm) to which the liquid rises in the
(c)π𝑅 𝐻 (d)π𝑅 𝐻 is 35 cm and the area of its curved cylindrical vessel is:
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Pinnacle Day: 20th - 29th Mensuration
SC CPO 12/12/2019 (Morning)
S 2
increases by 704𝑐 𝑚 .The diameter of the
1
(c) increase by 11 %
(a) 30.2 (b) 28.8 (c) 27 (d) 24 22 9
original sphere is _______.( takeΠ = ) 1
7 (d) decrease by 11 %
Q.703. From a point P which is at a 9
SC CPO 13/12/2019 (Evening)
S
istanceof10cmfromthecentreOofa
d
(a) 8.2 (b) 5.2 (c) 6.8 (d) 6.2 .718. A solid cube is cut into three
Q
circle of radius 6 cm, apairoftangents
PQandPRtothecircleatpointQandR cuboids of same volumes. What is the
respectively, aredrawn.Thenthearea(in SSC CGL 2018 Tier - 2 ratio of the surface area of the cube to
sqcm)ofthequadrilateralPQORisequal thesumofthesurfaceareasofanytwo
to : .711. A right circular cylinder of
Q of the cuboids so formed ?
SSC CPO 12/12/2019 (Evening) maximumvolumeiscutout fromasolid SSC CGL Tier II (12/09/2019)
(a) 30 (b) 40 (c) 24 (d) 48 wooden cube. The material left is what (a) 9 : 10 (b) 27 : 16 (c) 27 : 10 (d) 9 : 8
percent of the volume (nearest to an
Q.704. A cuboidal tank has25000litres integer) of the original cube ? Q.719. A field roller, in the shape of a
1 SSC CGL Tier II (11/09/2019) ylinder, has a diameter of 1 m and
c
ofwater.Ifthedepthofthecuboidis
1
5 (a) 19 (b) 28 (c) 23 (d) 21 length of 1 m. If the speed at which
1 4
of its length and breadth is of its the roller rolls is 14 revolutions per
8 Q.712.Iftheradiusofthebaseofacone
length, then the length of the tank is: is doubled, and the volume of the new minute, then the maximum area (in 𝑚 )
2
SSC CPO 12/12/2019 (Evening) cone is three times the volume of the 22
(a) 12 m (b) 10 m (c) 15 m (d) 18 m original cone, thenwhatwillbetheratio that it can roll in 1 hour is : (take π = )
7
of the heightoftheoriginalconetothat SC CGL Tier II (12/09/2019)
S
.705. A rectangular sheet of paper
Q of the new cone ? (a) 3960 (b) 3600 (c) 3300 (d) 3560
which is 88 cm long and 11cmwideis SSC CGL Tier II (11/09/2019)
rolled to form a cylinderofheightequal (a) 1 : 3 (b) 4 : 3 (c) 2 : 9 (d) 9 : 4 Q.720. A solid cylinder of base radius
to its width of the paper. What is the 2cm and height 15 cm is melted and
1
volume of the cylinder so formed? .713. Three solid metallic spheres
Q recastintontoyseachintheshapeofa
SSC CPO 12/12/2019 (Evening) whoseradiiare1cm,xcmand8cm,are right circular cone of height 9 cm
(a) 7676 (b) 6776 (c) 6546 (d) 6786 melted and recast into a single solid mounted on a hemisphere of radius 3
sphere of diameter 18 cm. The surface cm. The value of n is :
.706. The diameter ofacyclewheelis
Q 2
rea (in 𝑐 𝑚 )ofthespherewithradiusx
a SSC CGL Tier II (13/09/2019)
126 cm. A cyclist takes16.5minutesto
cm is : (a) 27 (b) 64 (c) 48 (d) 54
reach the destination at a speed of 72
SSC CGL Tier II (11/09/2019)
km/hr. How many revolutions will the Q.721.Thebaseofarightpyramidisan
(a) 144π (b) 72π (c) 64π (d) 100π
wheel make during the journey? 2
quilateraltrianglewitharea16 3𝑐 𝑚 .If
e
SSC CPO 12/12/2019 (Evening) Q.714. The area of the base of a right the area of one ofitslateralfacesis30
(a) 5000 (b) 5200 (c) 4000 (d) 4500 ircularconeis400π anditsheightis15
c 2
𝑐 𝑚 , then its height (in cm) is:
cm.Thecurvedsurfaceareaofthecone SSC CGL Tier II (13/09/2019)
Q.707. A right circular cylinder of 2
aximumpossiblesizeiscutoutfroma
m ( in𝑐 𝑚 ) is :
739 209
solid wooden cube. The remaining SSC CGL Tier II (12/09/2019) (a) (b)
12 12
material of the cubeiswhatpercentage (a) 480π (b) 500π (c) 450π
(d) 560π
611 643
of the original cube ? (takeπ = 3.14) (c) (d)
.715. A cylindrical vessel ofradius3.5
Q 12 12
SSC CPO 13/12/2019 (Morning)
misfullofwater.If15400litresofwater
(a) 22.4 (b) 21.5 (c) 22.8 (d) 21.8 .722. A sphere ofmaximumvolumeis
Q
is taken outfromit,thenthedropinthe
cutoutfromasolidhemisphere.Whatis
Q.708.Theratioofvolumesoftworight water level in the vessel will be :
the ratio of the volume ofthesphereto
ircular cylinders A and B
c isx:yandthe SSC CGL Tier II (12/09/2019)
that of the remaining solid ?
ratio of their heightsisa:b.Whatisthe (a) 72 cm (b) 40 cm (c) 35 cm (d) 60 cm
SSC CGL Tier II (13/09/2019)
ratio of their radii?
Q.716.Thebaseofarightpyramidisan (a) 1 : 4 (b) 1 : 2 (c) 1 : 3 (d) 1 : 1
SSC CPO 13/12/2019 (Evening)
quilateral triangle with side 8 cm, and
e
Q.723. A 15m deep well withradius2.8
𝑏
𝑥 𝑏
𝑥 𝑎
𝑥 𝑏
𝑦 the height of pyramid is 24 3c
m. The
(a)
𝑦𝑎
(b) 𝑦𝑎 (c) 𝑦𝑏
(d)
𝑥𝑎 isdugandtheearthtakenoutfromit
m
3
v olume (in𝑐 𝑚 ) of the pyramid is : is spread evenly to form a platform of
.709. There is a circular park of
Q SSC CGL Tier II (12/09/2019) breadth 8m and height 1
.5m. What will
diameter ‘d’. A circular path of uniform (a) 1152 (b) 480 (c) 576 (d) 384 be the length of the platform ?
width‘x’metreismadeoutsidethepark. SSC CGL Tier II (13/09/2019)
The areaofthecircularpathoutsidethe Q.717. If the diameter of the base of a (a) 28.4 (b) 28.8 (c) 30.2 (d) 30.8
1
park is ________ . rightcircular cylinderisreducedby33
SSC CPO 13/12/2019 (Evening)
3 .724.Theinternaldiameterofahollow
Q
and its height is doubled, then the
% hemisphericalvesselis24cm.Itismade
(a)π𝑥(𝑥 + 𝑑) (b)π𝑥(𝑥 + 2𝑑)
volume of the cylinder will : of a steel sheet which is 0.5 cm thick.
𝑑
(c)π𝑥(𝑥 + ) (d)π𝑥(2𝑥 + 𝑑) SSC CGL Tier II (12/09/2019) 2
2 hatisthetotalsurfacearea(in𝑐 𝑚 )of
W
1
(a) increase by 1 % the vessel ?
.710. When the radius of a sphere is
Q 9
SSC CGL Tier II (13/09/2019)
increased by 5 cm, its surface area (b) remain unchanged
(a) 612.75π (b) 468.75π
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Pinnacle Day: 20th - 29th Mensuration
(c) 600.2π (d) 600.5π 9.(a) 10.(b) 11.(a) 12.(a) 193.(a) 194.(d) 195.(a) 196.(c)
13.(c) 14.(c) 15.(b) 16.(b) 197.(d) 198.(a) 199.(b) 200.(b)
SSC MTS 2019 Tier - 1
17.(c) 18.(d) 19.(b) 20.(c) 201.(a) 202.(a) 203.(c) 204.(a)
.725. Thereisapathofequalwidthof
Q 21.(a) 22.(b) 23.(c) 24.(d) 205.(d) 206.(a) 207.(a) 208.(a)
3.5malongwithabuildingmeasuring25 25.(a) 26.(b) 27.(d) 28.(a) 209.(d) 210.(b) 211.(a) 212.(d)
minlengthand15minbreadth.Findthe
flooring cost of this path at the rate of
29.(a) 30.(d) 31.(d) 32.(b) 213.(b) 214.(d) 215.(d) 216.(b)
Rs. 25.50 per sq . m. 33.(c) 34.(c) 35.(a) 36.(d) 217.(b) 218.(d) 219.(b) 220.(a)
SSC MTS 09/08/2019 (Evening) 37.(c) 38.(a) 39.(c) 40.(b) 221.(d) 222.(d) 223.(a) 224.(b)
(a) Rs. 8389.50 (b) Rs.4186.50
(c) Rs. 8146.50 (d) Rs. 9149.50 41.(d) 42.(c) 43.(d) 44.(c) 225.(c) 226.(d) 227.(d) 228.(a)
45.(b) 46.(c) 47.(c) 48.(d) 229.(c) 230.(d) 231.(a) 232.(d)
SSC CHSL 2018 Tier - 1 49.(d) 50.(b) 51.(d) 52.(b) 233.(c) 234.(c) 235.(c) 236.(c)
.726. The volume of a right circular
Q 53.(d) 54.(c) 55.(d) 56.(a) 237.(b) 238.(c) 239.(a) 240.(d)
cone is 924cubiccm.Ifit'sheightis18 57.(c) 58.(d) 59.(b) 60.(d) 241.(c) 242.(c) 243.(c) 244.(d)
cm, then the areaofit’sbase(Insquare
61.(d) 62.(c) 63.(a) 64.(a) 245.(a) 246.(c) 247.(b) 248.(c)
cm) is:
SSC CHSL 02/07/2019 (Morning) 65.(d) 66.(c) 67.(b) 68.(b) 249.(a) 250.(a) 251.(a) 252.(a)
(a) 154 (b) 132 (c) 176 (d) 198 69.(a) 70.(b) 71.(c) 72.(c) 253.(c) 254.(c) 255.(a) 256.(c)
Q.727.Whatistheareaofarhombus(in 73.(a) 74.(c) 75.(d) 76.(d) 257.(b) 258.(d) 259.(b) 260.(c)
2
𝑐 𝑚 ) whose side is 10 cm and the 77.(a) 78.(a) 79.(d) 80.(a) 261.(d) 262.(c) 263.(a) 264.(a)
smallest diagonal is 12 cm?
81.(a) 82.(a) 83.(d) 84.(a) 265.(b) 266.(d) 267.(b) 268.(b)
SSC CHSL 09/07/2019 (Afternoon)
(a) 120 (b) 192 (c) 96 (d) 50 85.(d) 86.(a) 87.(c) 88.(a) 269.(a) 270.(c) 271.(d) 272.(a)
89.(b) 90.(b) 91.(b) 92.(a) 273.(d) 274.(b) 275.(d) 276.(d)
SSC CGL 2018 Tier - 1
93.(b) 94.(b) 95.(b) 96.(d) 277.(c) 278.(b) 279.(b) 280.(d)
Q.728. The radiioftwocircularfacesof 97.(d) 98.(c) 99.(a) 100.(c) 281.(b) 282.(b) 283.(b) 284.(c)
t he frustum of a cone of height 21 cm 101.(b) 102.(c) 103.(a) 104.(d) 285.(a) 286.(c) 287.(a) 288.(c)
are 3cmand2cmrespectively.Whatis
the volume of the frustum of the cone in 105.(b) 106.(d) 107.(a) 108.(c) 289.(a) 290.(a) 291.(b) 292.(b)
22 109.(c) 110.(a) 111.(a) 112.(c) 293.(b) 294.(b) 295.(a) 296.(c)
cubic cm ? (Take 𝜋 = )
7
113.(a) 114.(d) 115.(d) 116.(d) 297.(b) 298.(b) 299.(a) 300.(d)
SC CGL 11/06/2019 (Morning)
S
(a) 154 (b) 286 (c) 345 (d) 418 117.(d) 118.(d) 119.(d) 120.(d) 301.(c) 302.(c) 303.(b) 304.(a)
121.(c) 122.(c) 123.(b) 124.(c) 305.(c) 306.(c) 307.(d) 308.(b)
SSC CPO 2018 Tier - 1 125.(a) 126.(b) 127.(b) 128.(c) 309.(c) 310.(c) 311.(c) 312.(a)
.729.How much volume will the wood
Q 129.(c) 130.(c) 131.(b) 132.(c) 313.(a) 314.(c) 315.(b) 316.(c)
need to make a closed box of 2.5 cm 133.(c) 134.(c) 135.(a) 136.(b) 317.(a) 318.(c) 319.(d) 320.(b)
thickness with outer measurements 90
137.(b) 138.(b) 139.(c) 140.(b) 321.(b) 322.(a) 323.(d) 324.(d)
cm× 75 cm× 50 cm ?
SSC CPO 14/03/2019 (Evening) 141.(b) 142.(d) 143.(c) 144.(a) 325.(d) 326.(d) 327.(c) 328.(c)
3 3
(a) 46720𝑐 𝑚 (b) 69750𝑐 𝑚 145.(c) 146.(c) 147.(a) 148.(d) 329.(a) 330.(b) 331.(c) 332.(c)
3 3
(c) 49050𝑐 𝑚 (d) 36170𝑐 𝑚 149.(d) 150.(a) 151.(c) 152.(b) 333.(c) 334.(c) 335.(a) 336.(b)
.730. The perimeter of a square is
Q 153.(a) 154.(b) 155.(a) 156.(d) 337.(d) 338.(d) 339.(d) 340.(b)
equal to the perimeter of arectangleof 157.(b) 158.(c) 159.(a) 160.(c) 341.(a) 342.(d) 343.(c) 344.(d)
length16cmandbreadth14cm.Findthe
161.(c) 162.(d) 163.(a) 164.(a) 345.(c) 346.(a) 347.(b) 348.(b)
circumference of a semicircle whose
diameter is equal to the side of the 165.(a) 166.(c) 167.(d) 168.(d) 349.(d) 350.(d) 351.(a) 352.(a)
square. 169.(d) 170.(d) 171.(a) 172.(c) 353.(c) 354.(a) 355.(b) 356.(a)
SSC CPO 16/03/2019 (Evening)
173.(c) 174.(c) 175.(d) 176.(c) 357.(d) 358.(d) 359.(b) 360.(b)
(a) 38.57 (b) 21.57 (c) 23.57 (d) 25.57
177.(a) 178.(c) 179.(b) 180.(a) 361.(a) 362.(a) 363.(c) 364.(a)
Answer Key :- 181.(d) 182.(b) 183.(b) 184.(a) 365.(a) 366.(b) 367.(c) 368.(c)
185.(d) 186.(a) 187.(c) 188.(a) 369.(b) 370.(d) 371.(b) 372.(c)
1.(b) 2.(a) 3.(c) 4.(c)
189.(a) 190.(b) 191.(a) 192.(a) 373.(a) 374.(b) 375.(d) 376.(d)
5.(b) 6.(d) 7.(a) 8.(d)
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