WBCS Math Question Set 1 with Answers | SureSolv

You are here

WBCS Math Question Set 1 with Answers

wbcs math question set 1 with answers

First WBCS math question set for Arithmetic practice

First WBCS Math Question Set with carefully selected 10 math questions of WBCS Mains exam. Take the timed test in all seriousness. Answers given.

Questions are on Time work, LCM, Number system, Simplifications, Surds, indices, Square root, Ratio, Profit loss.

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, you may refer to the concept articles listed at the end.


1st WBCS Math question set: time to answer is 10 mins

Problem 1

If A and B complete a job working together in 20 days, B and C together in 15 days and C and A in 12 days, all three working together will be able to complete the same job in,

  1. 9 days
  2. 10 days
  3. 10.5 days
  4. 6 days

Problem 2

If $x$ is a prime number, the LCM of $x$ and $(x+1)$ is,

  1. $x^2$
  2. $(x+1)^2$
  3. $\displaystyle\frac{x(x+1)}{2}$
  4. $x(x+1)$

Problem 3

$\left(2-\displaystyle\frac{1}{3}\right)\left(2-\displaystyle\frac{3}{5}\right)\left(2-\displaystyle\frac{5}{7}\right)...\left(2-\displaystyle\frac{999}{1001}\right)$ is equal to,

  1. $\displaystyle\frac{1003}{3}$
  2. $\displaystyle\frac{999}{1001}$
  3. $\displaystyle\frac{1001}{3}$
  4. None of these

Problem 4

The value of $\displaystyle\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$ is,

  1. 2
  2. 4
  3. $\sqrt{2}$
  4. 8

Problem 5

The difference between the squares of two consecutive even integers is always divisible by,

  1. 3
  2. 4
  3. 6
  4. 7

Problem 6

The least number which when divided by 15, 27, 35, and 42 leaves a remainder of 7 in each division is,

  1. 1883
  2. 2007
  3. 1897
  4. 1987

Problem 7

$\left(\displaystyle\frac{243}{32}\right)^{-\displaystyle\frac{4}{5}}$ is equal to,

  1. $\displaystyle\frac{81}{16}$
  2. $\displaystyle\frac{16}{81}$
  3. $\displaystyle\frac{2}{9}$
  4. $\displaystyle\frac{9}{2}$

Problem 8

$\sqrt{248 +\sqrt{52 + \sqrt{144}}}$ is equal to,

  1. 16.6
  2. 16
  3. 14
  4. 18.8

Problem 9

The ratio of cost price to sale price is 20 : 23. What is the profit percentage?

  1. 20%
  2. 15%
  3. 5%
  4. 6%

Problem 10

$\sqrt[3]{0.000216}$ is equal to,

  1. 0.6
  2. 0.006
  3. 0.06
  4. 0.0006

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

Solutions to WBCS Math Question Set 1.


Answers to the questions

Problem 1. Answer: Option b: 10 days.

Problem 2. Answer: Option d: $x(x+1)$.

Problem 3. Answer: Option a: $\displaystyle\frac{1003}{3}$.

Problem 4. Answer: Option a: 2.

Problem 5. Answer: Option b: 4.

Problem 6. Answer: Option c: 1897.

Problem 7. Answer: Option b: $\displaystyle\frac{16}{81}$.

Problem 8. Answer: Option b: 16.

Problem 9. Answer: Option b: 15%.

Problem 10. Answer: Option c: 0.06.


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


Question and Solution sets on WBCS Arithmetic

10 WBCS Math Questions - 12th Solved Arithmetic Practice Set

Solution to 11th set of WBCS Math Questions for Arithmetic Practice

11th set of WBCS Math Questions for Arithmetic Practice

Solution to 10th set of WBCS Math Questions for Arithmetic Practice

10th set of WBCS Math Questions for Arithmetic Practice

Solution to 9th set of WBCS Math Questions for Arithmetic Practice

9th set of WBCS Math Questions for Arithmetic Practice

Solution to 8th set of WBCS Math Questions for Arithmetic Practice

8th set of WBCS Math Questions for Arithmetic Practice

Solution to 7th set of WBCS Math Questions for Arithmetic Practice

7th set of WBCS Math Question for Arithmetic Practice

Solution to 6th set of WBCS Math Questions for Arithmetic Practice

6th set of WBCS Math Questions for Arithmetic Practice

Solution to 5th set of WBCS Math Questions for Arithmetic Practice

5th set of WBCS Math Questions for Arithmetic Practice

Solution to 4th set of WBCS Math Questions for Arithmetic Practice

4th set of WBCS Math Questions for Arithmetic Practice

Solution to 3rd set of WBCS Math Questions for Arithmetic Practice

3rd set of WBCS Math Questions for Arithmetic Practice

Solution to 2nd set of WBCS Math Questions for Arithmetic Practice

2nd set of WBCS Math Questions for Arithmetic Practice

WBCS Main level Arithmetic Solution set 1

WBCS Main level Arithmetic Question set 1