Sample Objective test maths Area perimeter and menstruation

Sample Objective test maths Area perimeter and menstruation
Area and Perimeter objective solved questions
Test your ability to compute the area or perimeter

1. The length of a given rectangle is increased by 20% and the breadth is decreased by
20%, then the area
(a) remains the same
(b) increases by 5%.
(c) decreases by 5%
(d) decreases by 4%
Ans. (d)

2. A rectangle is 8 cm longer than its width. A square of side x cm has been cut out of it.
If x cm is half the width of the rectangle, then the remaining area is
(a) (2x2 + 8x) cm2
(b) (2x 2 + 16x) cm2
(c) (3x 2 + 8x) cm2
(d) (3x 2 + 16x) cm2
Ans. (d)


3. A rectangular garden has an area 2000 m2 and its length and breadth are in the ratio
5: 4. A road of uniform width runs inside the garden around the perimeter and has an
area 344 m2, then the width of the road is
(a) 4 m
(b) 3.5 m
(c) 3 m
(d) 2 m
Ans. (d)

4. A room is rectangular in shape and has a flat roof. It is 10 m wide, 13 m long and 5
m high. It is to be painted inside and outside and on the floor but not on the ceiling,
then the total area to be painted is
(a) 360 m2
(b) 460 m2
(c) 490 m2
(d) 590 m2
Ans. (d)


5. One side of a parallelogram is 8 cm. If the corresponding altitude is 6 cm, then its
area is given by
(a) 24 cm2
(b) 36 cm2
(c) 40 cm2
(d) 48 cm2
Ans. (d)

6. The base of a triangle is 15 dm and its height is 12 dm. The height of another triangle
of double the area and the base of which is 20 dm, is given by
(a) 9 dm
(b) 18 dm
(c) 8 dm
(d) 12.5 dm
Ans. (b)

7. If the diagonals of a rhombus are 24 dm and 10 dm, then the perimeter of the
rhombus will be
(a) 68 dm
(b) 60 dm
(c) 52 dm
(d) 50 dm
Ans. (c)


8. The perimeter of a rhombus is 100 cm and one of the diagonals is 40 cm. Then the
area of the rhombus is
(a) 1000 cm2
(b) 500 cm2
(c) 1200 cm2
(d) 600 cm2
Ans. (d)

9. If all possible diagonals from a vertex of an ‘n’ sided polygon be drawn, then the
number of triangles thus formed is
(a) n + 1
(b) n
(c) n – 1
(d) n – 2
Ans. (d)

10. The perimeter of one face of a cube is 20 m, then its volume is
(a) 800 m3
(b) 1000 m3
(c) 125 m3
(d) 400 m3
Ans. (c)



11. The outer length, breadth and height of a box open at the top are 10 dm, 8 dm and 5
dm respectively. If the thickness of the wood is 1 dm, then the total surface area of
the box is
(a) 420 dm2
(b) 452 dm2
(c) 451 dm 2
(d) 483 dm2
Ans. (a)

12. If ‘l’, ‘b’ and ‘h’ of a cuboid are increased, decreased and increased by 1%, 3% and
2% respectively, then the volume of the cuboid
(a) increases
(b) decreases
(c) increases or decreases depending on original dimensions
(d) can’t be calculated with given data
Ans. (b)

13. The radius of the base and the height of a right circular cylinder are each increased by
10%, then the volume of the cylinder is increased by
(a) 30%
(b) 40%
(c) 42%
(4) 33.1%
Ans. (d)

14. The radius and height of a cone are each increased by 20%, then the volume of the
cone is increased by
(a) 20%
(b) 40%
(c) 60%
(d) 72.8%
Ans. (d)

15. If the volume in m3 and the surface area in m2 of a sphere are numerically equal, then
the radius of the sphere in m is
(a) 4
(b) 2
(c) 3.5
(d) 3
Ans. (d)

16. In the case of cuboid, N0 denotes the number of vertices, N1 the number of edges,
and N2 the number of faces, then
(a) N0 + N1 = N2 + 2
(b) N0 + N2 = N1 + 2
(c) N1 + N2 = N0 + 2
(d) N1+ N2 = 2N0
Ans. (b)

17. If the length of every side of a triangle is increased by 50%, then the area of the
triangle will be increased by
(a) 50%
(b) 100%
(c) 125%
(d) 150%
Ans. (c)

18. A piece of wire 132 dm long is bent successively in the shape of an equilateral
triangle, a square, a regular hexagon and a circle. Then the area included is largest
when the shape is
(a) triangle
(b) square
(c) hexagon
(d) circle
Ans. (d)

19. Two cubes have volumes in the ratio 1 : 27, then the ratio of the area of the face of
one to that of the other is
(a) 1 : 3
(b) 1 : 6
(c) 1 : 9
(d) 1 : 18
Ans. (c)

20. The curved surface of a circular cylinder of height ‘h’ and the curved surface area of
the cone of slant height 2’h’ having the same circular base, are in the ratio of
(a) 1 : 2
(b) 2 : 1
(c) 1 : 1
(d) 1 : 3
Ans. (c)