Maths Solved Objective questions Area and Volume for exams

Maths Solved Objective questions Area and Volume for exams
Maths objective questions for UPSC and other exams

1. The quadrilateral formed by joining the midpoints of the sides of a quadrilateral PQRS, taken in order, is a rhombus if
(a) PQRS is a rhombus
(b) PQRS is a parallelogram
(c) Diagonals of PQRS are perpendicular
(d) Diagona1s of PQRS are equal
Ans. (d)

2. In a parallelogram ABCD, if AB = 2x +5, CD = y+ 1, AD =y+5 and BC = 3x-4 then ratio of AB: BC is
(a) 71: 21
(b) 12:11
(c) 31:35
(d) 4: 7
Ans. (c)

3. If x2 - (a + b) x + ab = 0, then the value of (x - a) 2 + (x - b) 2 is
(a) a2 + b2
(b) (a + b) 2
(c) (a - b) 2
(d) a2-b2
Ans. (c)

4. A closed box made of steel of uniform thickness has length, breadth and height 12
dm, 10 dm and 8 dm respectively. If the thickness of the steel sheet is 1 dm, then the
inner surface area is
(a) 456 dm2
(b) 376 dm2
(c) 264 dm2
(d) 696 dm2
Ans. (b)

5. A sphere of radius 5 cm weighs 4.4 kg, then the weight of a sphere of the same
material whose radius is 3 cm, is
(a) 2.64 kg
(b) 1.584 kg
(c) 0.9504 kg
(d) 1.33(0.9504) kg

Ans. (c)
6. The ratio of the height of a circular cylinder to the diameter of its base is 1 : 2, then
the ratio of the areas of its curved surface to the sum of the areas of its two ends is
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 1 : 3
Ans. (a)

7. The area of a rectangular field is 150 sq. units. If its perimeter is 50 units, then its
dimensions are
(a) 27, 5
(b) 3, 50
(c) 5, 30
(d) 10, 15
Ans. (d)


8. If each side of a rectangle is increased by 50%, then its area will be increased by
(a) 150%
(b) 120%
(c) 125%
(d) none of these
Ans. (c)


9. The length of a rectangle exceeds its breadth by 5 cm. Two vertices of a triangle
coincide with that of the rectangle and the third vertex lies on the opposite side of the
rectangle. The area of the remaining part is
(a) half that of the rectangle
(b) one third that of the rectangle
(c) one fourth that of the rectangle
(d) none
Ans. (a)

10. One side of a parallelogram is 12 m and its area. is 60 cm2. If the angle between
adjacent sides is 30°, then the other side
(a) 4cm
(b) 10cm
(c) 6cm
(d) 4cm
Ans. (b)

11. A wire of length 50 cm is to be bent in the form of a parallelogram of area 50 cm2.
If the angle between the adjacent sides is 30°, then the dimensions of the
parallelogram is
(a) 15 cm, 10 cm
(b) 13 cm, 12 cm
(c) 20 cm, 5 cm
(d) 17 cm, 8 cm
Ans. (c)

12. If the longer side of a rectangle is doubled and the other reduced to half, then the
area of the new rectangle goes up by
(a) 50%
(b) 100%
(c) 150%
(d) no change
Ans. (d)

13. A parallelogram whose sides are 10 cm and 5 cm has one diagonal of 8 cm, then the
length of the other diagonal is
(a) 12 cm
(b) 11cm
(c) 14 cm
(d) none of these
Ans. (d)

14. A cuboid has
(a) 4 edges
(b) 8 edges
(c) 12 edges
(d) 16 edges
Ans. (c)

15. If the difference between the circumference and radius of a circle is 37 cm, then its
diameter is
(a) 28 cm
(b) 14 cm
(c) 42 cm
(d) 56 cm
Ans. (b)

16. A metal pipe has an external radius of 4 cm and an internal radius of 3 cm. The
volume of the metal of length 10 cm is
(a) 120 cm2
(b) 220 cm2
(c) 440 cm2
(d) 225 cm2
Ans. (b)

17. The capacity of a closed wooden box of thickness 1 cm and of dimensions 32 cm
20 cm 17 cm, is
(a) 10880 cm3
(b) 69 cm3
(c) 8100 cm3
(d) 8000 cm3
Ans. (c)

18. The circumference of a 1 cm thick pipe is 44 cm. The level of water that 7 cm of
pipe can hold is
(a) 798 cm3
(b) 308 cm3
(c) 792 cm3
(d) 795 cm3
Ans. (c)

19. A rectangular piece of paper is 100 cm 44cm. A cylinder is formed by rolling the
paper along its length, then the volume of the cylinder so formed is
(a) 15400 cm3
(b) 15500 cm3
(c) 15800 cm3
(d) 15300 cm3
Ans. (a)


20. The number of cubes of side 3 cm that can be cut from a cube of side 6 cm is
(a) 6 cm
(b) 5 cm
(c) 7 cm
(d) 8 cm
Ans. (d)


21. A tank l0 m 5 m 6 m is full of water. The amount of water taken out to reduce
the water leve1by one metre is
(a) 50 m3
(b) 55 m3
(c) 58 m3
(d) 60 m3
Ans. (a)


22. Three cubes of metal whose edges are 3 cm, 4 cm and 5 cm are melted to form a
new cube whose side is
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 12 cm
Ans. (c)


23. The length, breadth and height of a cuboid are in the ratio 5 : 4 : 2 and the total
surface area is 1216 cm2, then the volume of the cuboid is
(a) 2460 cm3
(b) 2560 cm3
(c) 2660 cm3
(d) 2700 cm3
Ans. (b)


24. The volume of a solid cubical box whose surface area is 600 cm2 is
(a) 1000 cm3
(b) 1200 cm3
(c) 1100 cm3
(d) 900 cm3
Ans. (a)


25. If the radius of a lead shot 9 cm is melted and recasted into a right circular cylinder
of height 8 cm and radius 6 cm, then the internal radius of the shot is nearly equal to
(a) 6 cm
(b) 7 cm
(c) 8 cm
(d) 9 cm
Ans. (c)