## Questions on Mensuration for SSC CGL Set 87 with answers

Mensuration for SSC CGL: Solve 10 surface area and volume measurement questions in Set 87 in 15 minutes. Verify your solutions from the answers.

Answers and link to the quick solutions are at the end.

### 10 Questions on Mensuration for SSC CGL Set 87 - Answering time 15 mins

**Problem 1.**

In the figure below O is the center of the circle and $\angle AOB=150^0$. If the shaded portion is $x$ part of the circular region, then value of $x$ is,

- $\displaystyle\frac{1}{12}$
- $\displaystyle\frac{1}{9}$
- $\displaystyle\frac{1}{4}$
- $\displaystyle\frac{1}{6}$

**Problem 2.**

If $D$, $E$, and $F$ are the mid-points of the sides of an equilateral $\triangle ABC$, then the ratio of the area of the $\triangle DEF$ and $\triangle DCF$ is,

- $1.1:1$
- $1:1$
- $1:1.1$
- $0.9:1$

**Problem 3.**

The centroid of a $\triangle ABC$ is $G$. If the area of the $\triangle ABC=72$ sq units, the area of $\triangle BGC$ is,

- 36 sq units
- 48 sq units
- 16 sq units
- 24 sq units

**Problem 4.**

In a trapezium $ABCD$, $AD || BC$, $AD \lt BC$, $BC = 6$ cm and distance between parallel sides is 4 cm. If the area of $ABCD$ is 16 sq cm, then length of $AD$ is,

- 2 cm
- 3 cm
- 1 cm
- 8 cm

**Problem 5.**

Two identical circles intersect so that their centers and points at which they intersect form a square of side 2 cm. What is the area (in sq cm) of the portion that is common to the two circles?

- $3\pi-4$
- $\pi-2$
- $4\pi-8$
- $2\pi-4$

**Problem 6.**

A solid right circular cylinder and a solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface area is,

- 3 : 2
- 2 : 3
- 4 : 3
- 3 : 4

**Problem 7.**

Three medians AD, BE and CF of $\triangle ABC$ intersect at G. The area of $\triangle ABC$ is 36 sq cm. Then the area of $\triangle CGE$ is,

- 12 sq cm
- 6 sq cm
- 18 sq cm
- 9 sq cm

**Problem 8.**

The surface area of one cone is twice that of the second cone and the slant height of the latter is twice that of former. The ratio of their radii is,

- 1 : 4
- 4 : 3
- 3 : 4
- 4 : 1

**Problem 9.**

The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is,

- 8
- 24
- 16
- 3

** Problem 10.**

A rectangular paper sheet of dimensions 22 cm x 12 cm is folded in the form of a cylinder along its length. What will be the volume enclosed by the cylinder? (Take $\pi=\frac{22}{7}$)

- $624\text{ cm}^3$
- $400\text{ cm}^3$
- $462\text{ cm}^3$
- $460\text{ cm}^3$

Learn how to solve the questions easy and quick from the paired solution set at,

**SSC CGL Solution Set 87 Mensuration 7.**

### Answers to the questions

**Problem 1. Answer:** Option d: $\displaystyle\frac{1}{6}$.

**Problem 2. Answer:** Option b : 1 : 1.

**Problem 3. Answer:** Option d: 24 sq units.

**Problem 4. Answer:** Option a: 2 cm.

**Problem 5. Answer:** Option d: $2\pi-4$.

**Problem 6. Answer:** Option c : 4 : 3.

**Problem 7. Answer:** Option b: 6 sq cm.

**Problem 8. Answer:** Option d: 4 : 1.

**Problem 9. Answer:** Option b: 24.

**Problem 10. Answer:** c: $462\text{ cm}^3$.

### Other related question set and solution set on SSC CGL mensuration

**SSC CGL level Solution Set 88 on Mensuration 8**

**SSC CGL level Question Set 88 on Mensuration 8**

**SSC CGL level Solution Set 87 on Mensuration 7**

**SSC CGL level Question Set 87 on Mensuration 7**

**SSC CGL level Solution Set 86 on Mensuration 6**

**SSC CGL level Question Set 86 on Mensuration 6**

**SSC CGL level Solution Set 43 on Mensuration 5**

**SSC CGL level Question Set 43 on Mensuration 5**

**SSC CGL level Solution Set 42 on Mensuration 4**

**SSC CGL level Question Set 42 on Mensuration 4**

**SSC CGL level Solution Set 41 on Mensuration 3**

**SSC CGL level Question Set 41 on Mensuration 3**

**SSC CGL level Solution Set 27 on Mensuration 2**

**SSC CGL level Question Set 27 on Mensuration 2**

**SSC CGL level Solution Set 26 on Mensuration 1**

**SSC CGL level Question Set 26 on Mensuration 1**