## 3rd selected WBCS math question set for Arithmetic practice

10 WBCS math **questions with answers** are on simplification, time work, decimals, HCF, ratio, profit loss, number system, average, unitary method.

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**

**How to find perfect square root of integers or decimals**

#### 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**

#### Clocks and Calendars

**How to solve Calendar problems**

### 3rd WBCS arithmetic practice question set: time to answer: 10 mins

#### Problem 1

The simplified value of $\displaystyle\frac{1}{56}+\displaystyle\frac{1}{72}+\displaystyle\frac{1}{90}+\displaystyle\frac{1}{110}+\displaystyle\frac{1}{132}$ would be,

- $\displaystyle\frac{5}{84}$
- $\displaystyle\frac{1}{12}$
- $\displaystyle\frac{1}{84}$
- $\displaystyle\frac{1}{28}$

#### Problem 2

A man cultivates $\displaystyle\frac{1}{3}$rd of a land in 10 days while a second man cultivates $\displaystyle\frac{2}{5}$th of the same land in 6 days. In how many days would the two cultivate $\displaystyle\frac{4}{5}$th of this land if they work together?

- 4 days
- 10 days
- 5 days
- 8 days

#### Problem 3

The value of $(0.\overline{1})^2\left[1-9\times{(0.1\overline{6})^2}\right]$ is,

- $-\displaystyle\frac{1}{162}$
- $\displaystyle\frac{1}{109}$
- $\displaystyle\frac{1}{108}$
- $\displaystyle\frac{7696}{10^6}$

#### Problem 4

The least number of square tiles required to pave the floor of a room 15m 17cm long and 9m 2cm broad is,

- 814
- 902
- 738
- 656

#### Problem 5

If $2A=3B=4C$, then $A : B : C$ is,

- 4 : 3 : 2
- 6 : 4 : 3
- 2 : 3 : 4
- 3 : 4 : 5

#### Problem 6

By selling an item for Rs.350 instead of Rs.400, the percentage loss increases by 5%. The cost price of the item is,

- Rs.1050
- Rs.1000
- Rs.433
- Rs.417.50

#### Problem 7

The average of the first 100 natural numbers is,

- 50.5
- 51
- 50
- 51.5

#### Problem 8

The bell of a wall-clock requires 3 seconds to ring 5 times. The time required for the bell to ring 6 times is,

- $3\displaystyle\frac{1}{2}$ seconds
- $4$ seconds
- $5$ seconds
- $3\displaystyle\frac{3}{4}$ seconds

#### Problem 9

Two numbers are in the ratio of 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. The numbers are,

- 3, 5
- 7, 9
- 15, 25
- 13, 22

#### Problem 10

The area of a square is equal to the area of a circle. The ratio between a side of the square and the radius of the circle is,

- $1 : \sqrt{\pi}$
- $\sqrt{\pi}:1$
- $\pi : 1$
- $1:\pi$

* Solutions to these problems with conceptual explanation*, and how to solve the problems easily and quickly, are available in companion solution set,

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

### Answers to the questions

**Problem 1. ****Answer:** Option a: $\displaystyle\frac{5}{84}$.

**Problem 2. ****Answer:** Option d: 8 days.

**Problem 3.** **Answer:** Option c: $\displaystyle\frac{1}{108}$.

**Problem 4.** **Answer:** Option a: 814.

**Problem 5.** **Answer:** Option b: 6 : 4 : 3.

**Problem 6.** **Answer:** Option b: Rs.1000.

**Problem 7.** **Answer:** Option: a: 50.5.

**Problem 8.** **Answer:** Option d: $3\displaystyle\frac{3}{4}$ seconds.

**Problem 9.** **Answer:** Option c: 15, 25.

**Problem 10.** **Answer:** Option: b: $\sqrt{\pi}:1$.

### 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**