## Mensuration for SSC CGL: 10 Questions with answers

Mensuration for SSC CGL Set 43: Solve 10 questions on mensuration in 15 minutes. Verify answers and learn to solve the questions quickly from solutions.

Answers and link to the solutions are at the end.

### 10 Mensuration questions for SSC CGL Set 43 - Answering time 15 mins

**Problem 1.**

An area of a square km of land had a rainfall of 2cm over some time. If 50% of the raindrops were collected in a pool with a 100m by 10m base, what would be increase in water level in the pool?

- 1 km
- 10 km
- 1 m
- 10 m

**Problem 2.**

Water is flowing at the rate of 3 km per hour through a pipe of circular cross-section of internal diameter 20 cm into a circular cistern of diameter 10 m and depth 2 m. In how much time would the cistern be filled?

- 2 hours 40 minutes
- 1 hour
- 1 hour 40 minutes
- 1 hour 20 minutes

**Problem 3.**

If the perimeter of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively which of the following is true?

- $C=S=T$
- $S \lt C \lt T$
- $C \gt S \gt T$
- $C \lt S \lt T$

**Problem 4.**

The diameter of the front wheel of an engine is $2x$ cm and that of rear wheel is $2y$ cm. To cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves $n$ times.

- $\displaystyle\frac{nx}{y}$ times
- $\displaystyle\frac{yn}{x}$ times
- $\displaystyle\frac{n}{xy}$ times
- $\displaystyle\frac{xy}{n}$ times

**Problem 5.**

What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be filled by digging a cylindrical tunnel of diameter 4 m and length 56 m (use $\pi = \displaystyle\frac{22}{7}$)?

- $\displaystyle\frac{1}{9}$
- $\displaystyle\frac{2}{9}$
- $\displaystyle\frac{8}{9}$
- $\displaystyle\frac{7}{9}$

**Problem 6.**

The difference in areas of two squares drawn on two line segments of different lengths is 32 sq cm. Find the length of the greater line segment if one is longer than the other by 2 cm.

- 7 cm
- 16 cm
- 11 cm
- 9 cm

**Problem 7.**

The lengths of three medians of a triangle are 9 cm, 12 cm and 15 cm. The area (in cm$^2$) of the triangle is,

- 48
- 144
- 72
- 24

**Problem 8.**

The area of a triangle of side lengths 9 cm, 10 cm and 11 cm (in cm$^2$) is,

- $30$
- $30\sqrt{2}$
- $60\sqrt{2}$
- $60$

**Problem 9.**

The area of a circle is increased by 22 cm$^2$ by increasing its radius by 1 cm. The original radius of the circle is,

- 3 cm
- 5 cm
- 9 cm
- 7 cm

** Problem 10.**

The base of a right prism is a quadrilateral ABCD. Given that $AB=9$ cm, $BC=14$ cm, $CD=13$ cm, $DA=12$ cm and $\angle DAB=90^0$. If the volume of the prism be 2070 cm$^3$ then the area of the lateral surface of the prism is,

- 720 cm$^2$
- 810 cm$^2$
- 2070 cm$^2$
- 1260 cm$^2$

Know how to visualize the 2D and 3D shapes and calculate the surfaces and volumes in the mensuration questions from the paired solutions at,

**Solutions to mensuration for SSC CGL set 43.**

### Answers to the Mensuration questions for SSC CGL Set 43

**Problem 1.** Option d: 10m

**Problem 2.** Option c: 1 hour 40 minutes

**Problem 3.** Option c: $C \gt S \gt T$

**Problem 4.** Option a: $\displaystyle\frac{nx}{y}$ times

**Problem 5.** Option b: $\displaystyle\frac{2}{9}$

**Problem 6.** Option d: 9 cm

**Problem 7.** Option c: 72

**Problem 8.** Option b: $30\sqrt{2}$

**Problem 9.** Option a: 3 cm

**Problem 10.** Option a: 720 cm$^2$

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