## 2nd selected WBCS math question set for Arithmetic practice

10 WBCS math **questions with answers** are on *number system, average, profit loss, indices, ratio, simple geometry, square root, train running, LCM.*

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**

### 2nd WBCS arithmetic practice question set: time to answer: 10 mins

#### Problem 1

If sum of two numbers is 10 and the sum of their reciprocals is $\displaystyle\frac{5}{12}$, the numbers would be,

- 6 and 4
- 8 and 2
- 9 and 1
- 7 and 3

#### Problem 2

A man bought 4 trousers at Rs.750 each, 4 shirts at Rs.450 each and 12 pairs of shoes at Rs.750 each. What is the average expenditure per item?

- Rs.900
- Rs.1000
- Rs.690
- Rs.800

#### Problem 3

A dishonest dealer declares that he sells his goods at cost price, but actually he uses a false weight of 900gms for 1kg weight. His profit percentage is,

- $13%$
- $11.25%$
- $12\displaystyle\frac{1}{9}%$
- $11\displaystyle\frac{1}{9}%$

#### Problem 4

Which of $\sqrt[3]{3}$ and $\sqrt{2}$ is larger?

- $\sqrt[3]{3}$
- $\sqrt{2}$
- The two are equal
- None of the above

#### Problem 5

If P is 50% of Q and Q is 50% of R then, P : Q : R is,

- 4 : 2 : 1
- 1 : 2 : 4
- 2 : 1 : 4
- 1 : 4 : 2

#### Problem 6

The number of digits of the square root of 0.00059049 is,

- 6
- 5
- 3
- 4

#### Problem 7

What is the ratio of areas of two squares if the ratio of their diagonals is 5 : 2?

- 125 : 8
- 5 : 2
- 4 : 25
- 25 : 4

#### Problem 8

Two trains, each 100m long and moving in opposite directions, cross each other in 8 secs. If one is moving twice as fast as the other, the speed of the faster train is,

- 60km/hr
- 70km/hr
- 50km/hr
- 40km/hr

#### Problem 9

In what ratio must water be mixed with milk to make a profit of $16\displaystyle\frac{2}{3}$% on selling the diluted milk at cost price?

- 6 : 1
- 4 : 3
- 2 : 3
- 1 : 6

#### Problem 10

A policeman, while running to catch a thief, is 114m behind the thief. The policeman runs 21m and the thief runs 15m every minute. In what time will the policeman catch the thief?

- 18 minutes
- 16 minutes
- 19 minutes
- 17 minutes

* 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 2*.

### Answers to the questions

**Problem 1. Answer:** Option a: 6 and 4.

**Problem 2. Answer:** Option c: Rs.690.

**Problem 3.** **Answer:** Option d: $11\displaystyle\frac{1}{9}$.

**Problem 4. Answer:** Option a: $\sqrt[3]{3}$.

**Problem 5.** **Answer:** Option b: 1 : 2 : 4.

**Problem 6.** **Answer:** Option d: 4.

**Problem 7.** **Answer:** Option d: $\displaystyle\frac{25}{4}$.

**Problem 8.** **Answer:** Option a: 60km/hr.

**Problem 9.** **Answer:** Option d: 1 : 6.

**Problem 10.** **Answer:** Option c: 19 minutes.

### 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**