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Thursday, November 24, 2011

Solved objective type maths questions on Mensuration Area Volume

Solved objective type maths questions on Mensuration Area Volume
Mensuration, area, volume questions for UPSC Bed and other exams

1. A 10 cm deep well with diameter 6 m is dug and the earth spread even to form a
platform 22cm 10cm x cm. The value of x is
(a) 2.2
(b) 1.12
(c) 1.28
(d) 1.3
Ans. (c)


2. Two cubes of side 1 cm each, four cubes of side 2 cm each and two cubes of side 3
cm and 4 cm are melted to form one cube of side
(a) 6 cm
(b) 7 cm
(c) 8 cm
(d) 5 cm
Ans. (a)


3. The surface area of a cube whose volume is 343 cm3 is K cm2, the value of K is
(a) 180
(b) 364
(c) 294
(d) 394
Ans. (c)

4. The bricks of dimensions 25 cm 12.5 cm 7.5 cm required to build a wall 5m
3m 20 m are
(a) 1280
(b) 1285
(c) 1290
(d) 1295
Ans. (a)


5. A closed tea box has 47 cm 47 cm 60 cm internal dimensions, then the total area of tin foil needed for lining it is
(a) 1.57 m
(b) 1.81 m
(c) 1.46 m
(d) 2.10 m
Ans. (a)


6. A wood 1 cm thick required to make a box of dimensions 24 cm 22 cm 17 cm, is
(a) 2276 cm3
(b) 2500 cm3
(c) 2600 cm3
(d) 2376 cm3
Ans. (d)


7. If two cubes, each of side 12 cm are joined end to end, then the surface area of the
resulting cuboid is
(a) 1728 cm2
(b) 1440 cm2
(c) 1445 cm2
(d) 1450 cm2
Ans. (b)

8. The radius of a circle, whose area is equal to the sum of the areas of two circles of
radii 3 cm and 4 cm, is
(a) 5 cm
(b) 5.5 cm
(c) 5.8 cm
(d) 6 cm
Ans. (a)


9. If every side of a cube of volume V is doubled then its volume becomes K V. The
value of K is equa1 to
(a) 8
(b) 4
(c) 2
(d) 16
Ans. (a)
10. The number of vertices in a cube is
(a) 6
(b) 10
(c) 8
(d) 12
Ans. (c)

11. If a rectangle of sides 5 cm and 15 cm is to be divided into three squares of equal
area, then the sides of the squares will be
(a) 4cm
(b) 6cm
(c) 7 cm
(d) none
Ans. (d)

12. The perimeter of a right angled triangle is 60 cm and its hypotenuse is 26 cm, then the
area of the triangle is
(a) 120 cm2
(b) 121 cm2
(c) 119 cm2
(d) 125 cm2
Ans. (a)

13. A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted and
recasted into a sphere, then the radius of the sphere is
(a) 1 m
(b) 0.75 m
(c) 1.25 m
(d) 1.5 m
Ans. (b)

14. The number of bullets of radius 2 cm that can be made from a cube of lead whose
side is 44 cm is
(a) 2540
(b) 2541
(c) 2560
(d) 2575
Ans. (b)

15. If the sphere of radius 6 cm is melted and drawn into a wire of radius 0.2 cm, then
the length of the wire is
(a) 75 cm
(b) 72 cm
(c) 72 cm
(d) 75 cm
Ans. (c)

16. If the volume of a sphere is 4851 cm3, then its surface area is
(a) 1286 cm2
(b) 1386 cm2
(c) 1486 cm2
(d) 1390 cm2
Ans. (a)

17. If the radius of the base of a right circular cone is halved, keeping the height same,
then the ratio of the volume of the reduced cone to that of the original cone is
(a) 2 : 1
(b) 4 : 1
(c) 1 : 4
(d) 1 : 2
Ans. (c)

18. The cost of canvas required for a conical tent, of height 8 m and diameter of base 12
m, at the rate of Rs 3.50 per m2 is
(a) Rs 620
(b) Rs 600
(c) Rs 640
(d) Rs 660
Ans. (d)

19. The curved surface area of a right circular cone of height 84 cm and diameter 70 cm is
(a) 10010 cm2
(b) 100000 cm2
(c) 10020 cm2
(d) 11000 cm2
Ans. (a)


20. A conical tent of radius of 12 m and height 16 m is to be made, then the cost of
canvas required at the rate Rs 10 per m2 is
(a) Rs 7445
(b) Rs 7543
(c) Rs 7550
(d) Rs 7500
Ans. (b)

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