# Mensuration UPSC Questions

## Mensuration MCQ Questions

1.

A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden

UPSC-2014

A.

has increased by 20%.

B.

has increased by 12%.

C.

has increased by 8%.

D.

is exactly the same as the old area.

B. has increased by 12%.

2.

A cubical vessel of side 1 m is filled completely with water. How many millilitres of water is contained in it (neglect thickness of the (vessel)?

UPSC-2021

A.

1000

B.

10000

C.

100000

D.

1000000

D. 1000000

3.

The village having a population of 4000 requires 150 litres of the water per head per day. It has a tank measuring 20 m x 15 m x 6 m. The water of this tank will last for

UPSC-2011

A.

2 days

B.

3 days

C.

4 days

D.

5 days

B. 3 days

4.

Twelve equal squares are placed to fit in a rectangle of diagonal 5 cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?

UPSC-2018

A.

5/7 sq cm

B.

7/5 sq cm

C.

1 sq cm

D.

25/12 sq cm

C. 1 sq cm

5.

A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m x 4 m x 6 m. How much portion of the underground tank is still filled with water after filling the overhead tank completely?

UPSC-2016

A.

1/3

B.

1/2

C.

1/4

D.

1/6

A. 1/3

6.

AB is a vertical trunk of a huge tree with A being the point where the base of the trunk touches the ground. Due to a cyclone, the trunk has been broken at C which is at a height of 12 meters, broken part is partially attached to the vertical portion of the trunk at C. If the end of the broken part B touches the ground at D which is at a distance of 5 meters from A, then the original height of the trunk is:

UPSC-2016

A.

20 m

B.

25 m

C.

30 m

D.

35 m  