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Mensuration

The document contains a series of mathematical problems related to geometry, including calculations of area, perimeter, volume, and ratios. Each question is followed by multiple-choice answers. The problems cover various shapes such as rectangles, triangles, circles, and cubes.

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0% found this document useful (0 votes)
15 views4 pages

Mensuration

The document contains a series of mathematical problems related to geometry, including calculations of area, perimeter, volume, and ratios. Each question is followed by multiple-choice answers. The problems cover various shapes such as rectangles, triangles, circles, and cubes.

Uploaded by

saileshkpt
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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MRNSURATION

1.Find the area and perimeter of a rectangle having length 12 cm and breadth 10cm ?

(a) 120cm,44cm (b) 120cm,248cm (c)128cm,248cm (d)124cm,240cm

2. The perimeter of a equilateral triangle is 27cm , what is the length of its sides ?

(a) 13cm,7cm,7cm (b) 10cm,9cm,8cm (c)9cm,9cm,9cm (d)10cm,10cm,7cm

3.Find the perimeter of a square having area 144 cm square ?

(a) 12cm (b) 36cm (c)24cm (d)48cm

4.Which one has larger perimeter , a square with 1 cm long or a circle with 1 cm radius ?

(a)square (b) circle (c)both have same perimeter (d)cannot say


5. The length of three sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 78 cm. find
the length of its sides ? (a) 36cm,22cm,20cm (b) 36cm,26cm,16cm (c)36cm,24cm,18cm
(d)32cm,28cm,18cm

6. The sum of three angles of a triangles of a triangle is explain in details ?

(a) 270 (b) 180 (c)90 (d)360

7. The perimeter of a square courtyard is 100 meter. Find the cost of cementing it at the rate of Rs.5
per m2 ? (a) Rs.32125 (b) Rs.50,000 (c)Rs.200 (d)Rs.500

8. If the radius of a circle is halved , its area will decreased by what % ?

(a) 75% (b) 100% (c)25% (d)50%

9.Find the area of a triangle whose side measure 13cm, 14cm and 15cm ?

(a) 74cm2 (b) 84cm2(c)54cm2 (d)64cm2

10. If 3 angle of quadrilateral are 50,75 and 80 degree, then find the remaining angle ?

(a) 180 (b) 65 (c)155 (d)90

11. If the area of a triangle is 250cm2 and the ratio of the base and the height is 4:5 then find its
height ? (a) 25m (b) 20 m (c)30m (d)24m

12. The length of a rectangle is increased by 25%. By what % should the width be decreased to
maintain the same area ? (a) 33% (b) 20% (c)25% (d)22%

13. The diameters of two concentric circles are 14 cm and 12 cm. The area of the region between
them is : (a) 4πcm2 (b)8πcm2 (c)13πcm2 (d)52πcm2

14.The volume of a cube is 512cm. the total surface area of the cube is :

(a) 729cm2 (b) 486cm2 (c)294cm2 (d)384cm2

15. A solid piece of iron whose length, breadth and height are 44cm,42cm, and 21cm respectively is
moulded into a sphere. The radius of the sphere is : (a) 21cm (b) 35cm (c)42cm (d)49cm

16. If the perimeter of an equilateral triangle is 24m, then find out its area ?
(a) 8√4m2 (b) 9√3m2 (c)12√3m2 (d)16√3m2

17. The area of a rectangular field is 1800m2. The ratio of its length and breadth is 5:4 . find out the
length and breadth of the field respectively ?

(a) 200m,90m (b) 300m,60m (c)150m,120m (d)180m,100m

18. How many small cubical blocks of side 6cm can be cut from a cubical block whose each side
measures 24cm ? (a) 64 (b) 56 (c)48 (d)36

19. If the radius of a sphere is doubled ,then its surface area is increased by ?

(a) 300% (b) 200% (c)100% (d)50%


20. A rectangular block having length , breadth , and height 16cm,12cm,8cm respectively , is cut into
an exact number of equal cubes . find the least possible number of cubes ?

(a) 18 (b) 24 (c)30 (d)36

21. If the external and internal circumference of a circular road in 396m and 352 respectively, then
what is the width of the road ? (a) 7m (b) 14m (c)21m (d)28m

22. The volume of a cylinder is 1232 m3 . If the area of the curved surface is 176m2 , then find out the
circumference of its base ? (a) 22m (b) 44m (c)88m (d)196m

23. If the side of an equilateral triangle is decreased by 2 cm ,its area is decreased by 11√3cm2 what
is the height of the triangle ? (a) 3√3cm (b) 4√3cm (c)5√3cm (d)6√3cm

24. If each angle of a triangle is decreased by 10◦ the ratio of three resultant angles will be 6:4:5 . find
out the greatest angle of the triangle ? (a) 50 (b) 60 (c)70 (d)80

25. The length of three rectangles having equal area are 24cm,12cm and 8cm. What will be the ratio
of their breadth ? (a) 3:2:1 (b) 2:3:1 (c)2:1:3 (d)1:2:3

26. A cube of wood of side 12cm was cut formed into a largest sphere. Find out the volume of the
sphere ? (a)288 π cm3 (b) 864 π cm3 (c)2304 π cm3 (d)6912 π cm3

27. A wire can be bent in the form of a circle of radius 28cm. if it is bent in the form of a square, then
what will be its area ? (a)1089cm2 (b)1936cm2 (c)3025cm2 (c)4356cm2

28. The length of a rectangle is increased by 60% , by what % would the width has to be decreased
to maintain the same area ? (a) 37.5% (b) 100% (c)25% (d)66%

29. A radious of a circular playground is 21 mtr.one monkey covers 3mtr.in one jumb and takes one
-minute rest in between consecutive jumps .calculate the total time of rest the monkey will take for
covering the circumference of the playground ? (a) 44min (b) 43min (c)42 (d)66

30. The length and width of a rectangle is increased by 50% what is the percent increases in area of
the new rectangle over the original ? (a) 300% (b) 225% (c)250% (d)400%

31. If the ratio of the area of two square is 3:27, then what is the ratio of their perimeters ?

(a) 1:9 (b) 1:81 (c)1:3 (d)4:36

32. If the volume of two spheres are in the ratio of 8:125, then the ratio of their area is ?

(a) 2:5 (b) 16:250 (c)4:25 (d)25:4


33. A circle and a square have the same area . what is the ratio of the side of the square and the
radius of the circle ? (a)√𝜋:1 (b) 1:√𝜋 (c)π:1 (d)1:π

34. If the height of a cone is doubled , then its volume is increased by :

(a) 300% (b) 200% (c)100% (d)400%

35. A cube of side 6 cm is cut into a number of cubes of 2cm each, the number of cubes will be :

(a) 6 (b) 9 (c)12 (d)27

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