## Seventh 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 seventh question set on Arithmetic, 10 selected questions of varied types are included.

The questions are followed by answers and link to the corresponding detailed solution set.

The solution set will provide valuable insight into how the problems are solved quickly in mind followed by detailed explanation and concept elaboration when needed.

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**

### 7th WBCS Main level Arithmetic question set: time to answer: 10 mins

#### Problem 1

A man gains 10% by selling an article at a certain price. If he sells it at double the price, the profit made is,

- 60%
- 20%
- 100%
- 120%

#### Problem 2

When 40% of a number is added to 42, the result is the number itself. The number is,

- 72
- 70
- 82
- 105

#### Problem 3

If $\displaystyle\frac{4}{5}$th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?

- 10 sec
- 20 sec
- 12 sec
- 15 sec

#### Problem 4

If $a:b=c:d=e:f=1:2$, then $(3a+5c+7e):(3b+5d+7f)=\text{?}$.

- $1:2$
- $2:1$
- $1:4$
- $8:7$

#### Problem 5

The speed of a train 150m long is 50km/h. How much time will it take to pass a platform 600m long?

- 64 sec
- 60 sec
- 50 sec
- 54 sec

#### Problem 6

A can do a work in 20 days and B can do it in 12 days. B worked at it for 9 days. In how many days can A alone finish the remaining work?

- 3
- 5
- 7
- 11

#### Problem 7

If $(1^2 + 2^2 + 3^2+.....+10^2)=385$, then the value of $(2^2+4^2+6^2+.....+20^2)$ is,

- $770$
- $1155$
- $385\times{385}$
- $1540$

Problem 8

If $1.5x=0.04y$, then the value of $\left(\displaystyle\frac{y-x}{y+x}\right)$ is,

- $\displaystyle\frac{73}{77}$
- $\displaystyle\frac{703}{77}$
- $\displaystyle\frac{73}{770}$
- $\displaystyle\frac{730}{77}$

#### Problem 9

The population of a town increases annually by 5% . If it is 15435 now, the population two years ago was,

- 13700
- 14000
- 15000
- 14800

#### Problem 10

In a 100m race, A beats B by 10m and C by 13m. In a race of 180m between the three, B will beat C by,

- 6m
- 5m
- 5.4m
- 4.5m

To know how to solve the problems quickly in mind and detailed explanation, you should refer to the corresponding solution set, **WBCS Main Arithmetic solution set 7.**

### Answers to the questions

**Problem 1.** Answer: Option d: 120%.

**Problem 2.** Answer: Option b: 70.

**Problem 3.** Answer: Option d: 15 secs.

**Problem 4.** Answer: Option a: $1:2$.

**Problem 5.** Answer: Option d: 54 secs.

**Problem 6.** Answer: Option b: 5 days.

**Problem 7.** Answer: Option d: 1540.

**Problem 8.** Answer: Option a: $\displaystyle\frac{73}{77}$.

**Problem 9.** Answer: Option b: 14000.

**Problem 10.** Answer: Option c: 5.4m.

### Question and Solution sets on WBCS Main Aritmetic

**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**