## 43rd SSC CGL level Question Set, 5th on topic Mensuration

This is the 43rd question set of 10 practice problem exercise for SSC CGL exam and 5th on topic Mensuration. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

We will repeat here the method of taking a 10 problem test if you have not gone through it already.

### Method for taking this 10 problem test and get the best results from the test set:

**Before start,**go through the tutorials**Basic concepts on Geometry 1**,**, Basic concepts on Geometry 2**or any other short but good material to refresh your concepts if you so require.**Basic concepts on Geometry 3****Answer the questions**in an undisturbed environment with no interruption, full concentration and alarm set at 15 minutes.**When the time limit of 15 minutes is over,**mark up to which you have answered,**but go on to complete the set.****At the end,**refer to the answers at the end of this question set to mark your score at 15 minutes. For every correct answer add 1 and for every incorrect answer deduct 0.25 (or whatever is the scoring pattern in the coming test). Write your score on top of the answer sheet with date and time.**Identify and analyze**the problems that**you couldn't do**to learn how to solve those problems.**Identify and analyze**the problems that**you solved incorrectly**. Identify the reasons behind the errors. If it is because of**your shortcoming in topic knowledge**improve it by referring to**only that part of concept**from the best source you get hold of. You might google it. If it is because of**your method of answering,**analyze and improve those aspects specifically.**Identify and analyze**the**problems that posed difficulties for you and delayed you**. Analyze and learn how to solve the problems using basic concepts and relevant problem solving strategies and techniques.**Give a gap**before you take a 10 problem practice test again.

Important:bothandpractice testsmust be timed, analyzed, improving actions taken and then repeated. With intelligent method, it is possible to reach highest excellence level in performance.mock tests

**Resources that should be useful for you**

**You may refer to:**

* 7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests* or

*to access all the valuable student resources that we have created specifically for SSC CGL, but*

**section on SSC CGL****generally for any hard MCQ test.**

**Tutorials that you should refer to**

*Basic concepts on Geometry 1 lines points and triangles*

*Basic concepts on Geometry 2 quadrilaterals polygons squares*

*Basic and rich concepts on Geometry 3 Circles*

*Basic and rich Geometry concepts part 4 Arc angle subtending concept proof*

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### 43rd question set - 10 problems for SSC CGL exam: topic Mensuration - 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$^2$

### Answers to the questions

**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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