## Fourth 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 fourth 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**

### 4th WBCS Main level Arithmetic solution set: time to answer 10 mins

#### Problem 1

In a river a man takes 3 hrs in rowing 3kms upstream, but rowing downstream he covers 15kms in same 3 hrs. The speed of the river current is,

- 2km/hr
- 4km/hr
- 9km/hr
- 6km/hr

#### Problem 2

The product of two successive positive integers is 1980. The smaller of the number is,

- 34
- 44
- 45
- 35

#### Problem 3

A shop owner gains the selling price of 20 chairs by selling 100 chairs. What is his gain percent?

- 15%
- 12%
- 25%
- 20%

#### Problem 4

The rational numbers lying between $\displaystyle\frac{1}{4}$ and $\displaystyle\frac{3}{4}$ are,

- $\displaystyle\frac{262}{1000}$, $\displaystyle\frac{752}{1000}$
- $\displaystyle\frac{9}{40}$, $\displaystyle\frac{31}{41}$
- $\displaystyle\frac{13}{50}$, $\displaystyle\frac{264}{350}$
- $\displaystyle\frac{63}{250}$, $\displaystyle\frac{187}{250}$

#### Problem 5

The ratio of two numbers is 5 : 8 and their difference is 69. The numbers are,

- 69, 128
- 115, 184
- 128, 197
- 43, 112

#### Problem 6

By what least number must 21600 be multiplied to make it a perfect cube?

- 10
- 30
- 6
- 60

#### Problem 7

The value of $\left[\left\{\left(-\displaystyle\frac{1}{2}\right)^2\right\}^{-2}\right]^{-1}$ is,

- $\displaystyle\frac{1}{4}$
- $\displaystyle\frac{1}{16}$
- $4$
- $16$

#### Problem 8

Each side of a rhombus is 5cm. Its area is,

- 23 cm sq
- 24 cm sq
- 25 cm sq
- data insufficient

#### Problem 9

If $A:B=\displaystyle\frac{1}{6} : \displaystyle\frac{1}{5}$, $B:C=\displaystyle\frac{1}{4} : \displaystyle\frac{1}{3}$, and $C:D=\displaystyle\frac{1}{3} : \displaystyle\frac{1}{5}$, then $A:D$ is,

- $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{25}$
- $\displaystyle\frac{1}{25} : \displaystyle\frac{1}{29}$
- $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{29}$
- $\displaystyle\frac{1}{27} : \displaystyle\frac{1}{25}$

#### Problem 10

3 men or 5 women can do a work in 12 days. In how many days will 6 men and 5 women will take to complete the work?

- 4 days
- 15 days
- 20 days
- 10 days

### Related detailed solution set

Refer to the companion * WBCS Main level solution set 4* for detailed explanation of the concepts and quick methods of solution.

### Answers to the questions

**Problem 1. ****Answer:** Option a: 2km/hr.

**Problem 2. ****Answer:** Option b: 44.

**Problem 3.** **Answer:** Option c: 25%.

**Problem 4.** **Answer:** Option d: $\displaystyle\frac{63}{250}$, $\displaystyle\frac{187}{250}$.

**Problem 5.** **Answer:** Option b: 115, 184.

**Problem 6.** **Answer:** Option a: 10.

**Problem 7.** **Answer:** Option: b: $\displaystyle\frac{1}{16}$.

**Problem 8.** **Answer:** Option d: data insufficient.

**Problem 9.** **Answer:** Option a: $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{25}$.

**Problem 10.** **Answer:** Option: a: 4 days.

### 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**