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

Solve 10 questions in WBCS Arithmetic Practice Question set 11 in 10 mins. Verify from answers. Learn to solve quick from linked solutions.

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

*Answers to the questions and link of the companion solution set are at the end.*

### 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 11th WBCS math question set for arithmetic practice

**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.

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