## 5th selected WBCS math question set for Arithmetic practice

10 WBCS math *questions with answers* are on r*atio, componendo dividendo, LCM, Simplification, simple geometry, decimals, time work, continued square root*. It should be useful for prelims of other competitive exams also.

The **solution set** (linked at the end) explains how to solve the questions quickly in mind.

To **refresh concepts on any topic** and to know how to solve the questions quickly, refer to the **concept articles** listed below.

Or to skip the list and take the test straightaway, click **here.**

### Concept tutorials and articles on Arithmetic

#### Number system, fractions and surds

**Numbers, Number system and basic arithmetic operations**

**Factorization or finding out factors**

**Fractions and decimals, basic concepts part 1**

**How to solve surds part 1 rationalization**

**How to solve surds part 2 double square root surds and surd term factoring**

#### Ratio and proportion and mixing liquids

**Arithmetic problems on mixing liquids and based ages**

**How to solve arithmetic mixture problems in a few steps 1**

**How to solve arithmetic mixture problems in a few steps 2**

#### Percentage

**Basic and rich percentage concepts**

#### Componendo dividendo

**Componendo dividendo explained**

#### Simple interest and compound interest

**Basic and rich concepts on simple interest and compound interest**

#### Work time, work wages and pipes and cisterns

**How to solve arithmetic problems on work time, work wages and pipes and cisterns**

**How to solve time work problems in simpler steps type 1**

**How to solve time work problems in simpler steps type 2**

#### Speed time distance, train problems and boats in rivers

**Basic concepts on speed time distance, train running and boats and rivers**

**How to solve time distance problems in a few simple steps 1**

**How to solve time distance problems in a few simple steps 2**

#### Profit and loss

**How to solve in a few steps profit and loss problems 1**

**How to solve similar problems in a few seconds profit and loss problems 2**

**How to solve difficult profit and loss problems in a few steps 3**

**How to solve difficult profit and loss problems in a few steps 4.**

Now let us get down to solving the question set with your time watch on.

### 5th WBCS arithmetic practice question set: time to answer: 10 mins

#### Problem 1

The product of two numbers is 1575 and their division is $\displaystyle\frac{7}{9}$. The two numbers then are,

- 45, 35
- 36, 35
- 35, 27
- 81, 63

### Problem 2

Two pipes A and B can fill a cistern in 6 minutes and 7 minutes respectively. The two pipes are opened alternately for 1 minute each starting with pipe A. In what time will they fill the cistern?

- $1\displaystyle\frac{1}{4}$ minutes
- $6\displaystyle\frac{3}{7}$ minutes
- $5$ minutes
- $5\displaystyle\frac{2}{3}$ minutes

#### Problem 3

Value of $\sqrt{20+\sqrt{20+\sqrt{20+.........}}}$ is,

- 5
- 2
- 3
- -4

#### Problem 4

If $a:b=3:4$, then $(7a+3b):(7a-3b)$ is,

- 5 : 2
- 4 : 3
- 11 : 3
- 37 : 19

#### Problem 5

The value of $(997)^2+(998)^2+(999)^2 -$

$\hspace{30mm} 997\times{998} - 998\times{999}-999\times{997}$ is,

- 1
- 2
- 3
- 0

#### Problem 6

If the sides of a triangle are in the ratio $3:4:5$, the largest angle of the triangle is,

- $75^0$
- $90^0$
- $120^0$
- $50^0$

Problem 7

The largest possible length that can be used for measuring exactly the three lengths, 7m, 3m 85cm and 12m 95cm is,

- 25cm
- 15cm
- 42cm
- 35cm

#### Problem 8

Area of a square field is 6050 sq m. What is the length of the diagonal?

- 110m
- 120m
- 135m
- 112m

#### Problem 9

Value of $0.\overline{3}+0.\overline{4} +0.\overline{7}+0.\overline{8}$ is,

- $2.4$
- $2.\overline{4}$
- $2.44$
- $2.444$

#### Problem 10

40 men take 8 days to earn Rs.2000. How many men will earn Rs.200 in 2 days?

- 16
- 10
- 12
- 1

### Related detailed solution set

Refer to the companion * Solution to WBCS Math Question set for Arithmetic Practice 5* for detailed explanation of the concepts and quick methods of solution.

### Answers to the questions

**Problem 1. ****Answer:** Option a: 45, 35.

**Problem 2. ****Answer:** Option b: $6\displaystyle\frac{3}{7}$ minutes.

**Problem 3.** **Answer:** Option a: 5.

**Problem 4.** **Answer:** Option c: $11:3$.

**Problem 5.** **Answer:** Option c: 3.

**Problem 6.** **Answer:** Option b: $90^0$.

**Problem 7.** **Answer:** Option: d: 35cm.

**Problem 8.** **Answer:** Option a: 110m.

**Problem 9.** **Answer:** Option b: $2.\overline{4}$.

**Problem 10.** **Answer:** Option: a: 16.

### Question and Solution sets on WBCS Arithmetic

**10 WBCS Math Questions - 12th Solved Arithmetic Practice Set**

**Solution to 11th WBCS Math Question set for Arithmetic Practice**

**11th WBCS Math Question set for Arithmetic Practice**

**Solution to 10th WBCS Math Question set for Arithmetic Practice**

**10th WBCS Math Question set for Arithmetic Practice**

**Solution to 9th WBCS Math Question set for Arithmetic Practice**

**9th WBCS Math Question set for Arithmetic Practice**

**Solution to 8th WBCS Math Question set for Arithmetic Practice**

**8th WBCS Math Question set for Arithmetic Practice**

**Solution to 7th WBCS Math Question set for Arithmetic Practice**

**7th WBCS Math Question set for Arithmetic Practice**

**Solution to 6th WBCS Math Question set for Arithmetic Practice**

**6th WBCS Math Question set for Arithmetic Practice**

**Solution to 5th WBCS Math Question set for Arithmetic Practice**

**5th WBCS Math Question set for Arithmetic Practice**

**Solution to 4th WBCS Math Question set for Arithmetic Practice**

**4th WBCS Math Question set for Arithmetic Practice**

**Solution to 3rd WBCS Math Question set for Arithmetic Practice**

**3rd WBCS Math Question set for Arithmetic Practice**

**Solution to 2nd WBCS Math Question set for Arithmetic Practice**

**2nd WBCS Math Question set for Arithmetic Practice**

**WBCS Main level Arithmetic Solution set 1**

**WBCS Main level Arithmetic Question set 1**