## 11th selected WBCS math question set for Arithmetic practice

11th WBCS arithmetic practice set of 10 WBCS math questions on mixture, percentage, profit loss, HCF, number system, clock, simple interest, ratio, pipes cisterns **with answers. **

Should be useful for *prelims of other competitive exams* also.

*Link of the solution is at the end.*

To refresh concepts on any topic and to know how to solve the problems quickly, refer to the **concept tutorials** listed below.

To start the test directly and skip this list below 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**

### 11th WBCS arithmetic practice question set: time to answer: 10 mins

#### Problem 1

What will be the percentage markup on cost price to achieve a profit of 4% after 20% discount?

- 10%
- 35%
- 25%
- 30%

#### Problem 2

In a 200 litre solution of sugar fully dissolved in water, sugar is 20%. On heating for a while the solution gets more concentrated with sugar percentage increasing to 80% of the solution. What is the volume of water that evaporated?

- 140 litre
- 150 litre
- 130 litre
- 100 litre

#### Problem 3

At what time between 1 O'clock and 2 O'clock both minute hand and hour hand will be together?

- $5\displaystyle\frac{6}{11}$ minutes past 1 O'clock
- $5\displaystyle\frac{4}{11}$ minutes past 1 O'clock
- $5\displaystyle\frac{5}{11}$ minutes past 1 O'clock
- $5\displaystyle\frac{3}{11}$ minutes past 1 O'clock

#### Problem 4

The simple interest over 2 years at a certain interest rate on a certain amount is Rs. 2400. If the difference between the compound interest compounded annually at same rate over same period on same amount, and the simple interest be Rs. 138, what is the percentage interest rate per annum?

- 13.5%
- 10.5%
- 12.5%
- 11.5%

#### Problem 5

A basketful of oranges are counted in pairs, in 3s and in 5s, and every time one orange is left over. The least number of oranges in the basket is,

- 31
- 41
- 61
- 51

#### Problem 6

HCF of $\displaystyle\frac{12}{13}$ and $\displaystyle\frac{3}{5}$ is,

- $3$
- $12$
- $\displaystyle\frac{12}{65}$
- $\displaystyle\frac{3}{65}$

#### Problem 7

Two rational numbers lying between $\displaystyle\frac{4}{5}$ and $\displaystyle\frac{6}{7}$ are,

- $\displaystyle\frac{29}{35}$, $\displaystyle\frac{62}{70}$
- $\displaystyle\frac{28}{34}$, $\displaystyle\frac{35}{39}$
- $\displaystyle\frac{29}{35}$, $\displaystyle\frac{5}{6}$
- $\displaystyle\frac{65}{84}$, $\displaystyle\frac{5}{6}$

#### Problem 8

What is the unit's digit of the product of all the prime numbers between 10 and 30?

- 7
- 9
- 3
- 1

#### Problem 9

Present ages (in years) of Romi and Runu are in the ratio of 5 : 6. Three years ago their ages were in the ratio 9 : 11. What will the ratio of their ages after 6 years from now?

- 6 : 7
- 1 : 2
- 7 : 8
- 3 : 4

#### Problem 10

Inlet pipes A and B can fill a tank independently in 15 mins and 12 mins respectively. If both are opened simultaneously and B is closed after 3 mins how much more time will A take to fill the tank?

- 6 mins
- 8 mins 15 secs
- 10 mins 30 secs
- 9 mins 15 secs

To know how to solve the problems quickly in mind and detailed explanation, you should refer to the corresponding solution set, * Solutions to 11th WBCS Math Question set for Arithmetic Practice*.

### Answers to questions

**Problem 1. ** **Answer:** Option d: 30%.

**Problem 2. Answer:** Option b: 150 litres.

**Problem 3. Answer:** Option c: $5\displaystyle\frac{5}{11}$ minutes past 1 O'clock.

**Problem 4. Answer:** Option d: 11.5%.

**Problem 5. Answer:** Option a: 31.

**Problem 6. Answer:** Option d: $\displaystyle\frac{3}{65}$.

**Problem 7. Answer:** Option c: $\displaystyle\frac{29}{35}$, $\displaystyle\frac{5}{6}$.

**Problem 8. Answer:** Option c: 3.

**Problem 9. Answer:** Option a: 6 : 7.

**Problem 10. Answer:** Option b: 8 mins 15 secs.

### 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**