WBCS Math Question set for Arithmetic Practice 3

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

HCF and LCM

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

Ratio and proportion

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 Clock problems

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,

1. $\displaystyle\frac{5}{84}$
2. $\displaystyle\frac{1}{12}$
3. $\displaystyle\frac{1}{84}$
4. $\displaystyle\frac{1}{28}$

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?

1. 4 days
2. 10 days
3. 5 days
4. 8 days

Problem 3

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

1. $-\displaystyle\frac{1}{162}$
2. $\displaystyle\frac{1}{109}$
3. $\displaystyle\frac{1}{108}$
4. $\displaystyle\frac{7696}{10^6}$

Problem 4

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

1. 814
2. 902
3. 738
4. 656

Problem 5

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

1. 4 : 3 : 2
2. 6 : 4 : 3
3. 2 : 3 : 4
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,

1. Rs.1050
2. Rs.1000
3. Rs.433
4. Rs.417.50

Problem 7

The average of the first 100 natural numbers is,

1. 50.5
2. 51
3. 50
4. 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,

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

1. 3, 5
2. 7, 9
3. 15, 25
4. 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. $1 : \sqrt{\pi}$
2. $\sqrt{\pi}:1$
3. $\pi : 1$
4. $1:\pi$

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

---