## Fifth question set for WBCS Main level Arithmetic

Compulsory paper VI of WBCS Main is on Arithmetic and Test of Reasoning. It has 200 questions to be answered in 180 minutes. In this fifth question set on Arithmetic, 10 representative questions are included. The time recommended is 10 minutes.

Before going through the test, to *refresh concepts* on any topic or to know *how to solve problems at a high speed*, you should refer to **our concept tutorials and articles** listed below.

### 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**

### 5th WBCS Main level Arithmetic solution 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 * WBCS Mains level solution set 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 Main Arithmetic

**WBCS main level Arithmetic Solution set 8**

**WBCS main level Arithmetic Question set 8**

**WBCS Main level Arithmetic Solution Set 7**

**WBCS Main level Arithmetic Question Set 7**

**WBCS Main level Arithmetic Solution set 6**

**WBCS Main level Arithmetic Question set 6**

**WBCS Main level Arithmetic Solution set 5**

**WBCS Main level Arithmetic Question set 5**

**WBCS Main level Arithmetic Solution set 4**

**WBCS Main level Arithmetic Question set 4**

**WBCS Main level Arithmetic Solution set 3**

**WBCS Main level Arithmetic Question set 3**

**WBCS Main level Arithmetic Solution set 2**

**WBCS Main level Arithmetic Question set 2**

**WBCS Main level Arithmetic Solution set 1**

**WBCS Main level Arithmetic Question set 1**