Mensuration UPSC Questions

Mensuration MCQ Questions

7.

An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?

UPSC-2016

A.

400 sq m

B.

300 sq m

C.

200 sq m

D.

80 sq m

ANSWER :

A. 400 sq m
An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?

8.

Let x, y be the volumes, m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of. P. Let u=m/x and v=n/y. Which one of the following is correct?

UPSC-2020

A.

u=4v

B.

u=2v

C.

v=u

D.

v=4u

ANSWER :

A. u=4v
Let x, y be the volumes, m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of. P. Let u=m/x and v=n/y. Which one of the following is correct?

9.

A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be

A.

8800 cm2

B.

6400 cm2

C.

7744 cm2

D.

4500 cm2

ANSWER :

C. 7744 cm2
A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be

10.

A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½"on either side. What fractional part of the paper is available to him for typing ?

A.

2/3

B.

1/2

C.

1/2

D.

5/7

ANSWER :

A. 2/3
A typist uses a paper 12" by 5" length wise and leaves a margin of 1" at the top and the bottom and a margin of ½"on either side. What fractional part of the paper is available to him for typing ?

11.

A rectangular tank measuring 5m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m × 2.5 m. The earth dug out is spread evenly over the remaining portion of a field. How much is the level of the field raised ?

A.

4.0 m

B.

4.1 m

C.

4.2 m

D.

4.3 m

ANSWER :

C. 4.2 m
A rectangular tank measuring 5m × 4.5 m × 2.1 m is dug in the centre of the field measuring 13.5 m × 2.5 m. The earth dug out is spread evenly over the remaining portion of a field. How much is the level of the field raised ?

12.

A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?

A.

88 cm2

B.

1250 cm2

C.

154 cm2

D.

616 cm2

ANSWER :

D. 616 cm2
A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?