WBCS Math Question Set 1 with Answers

Submitted by Atanu Chaudhuri on Mon, 14/05/2018 - 19:01

$WBCS Main Level Arithmetic Question Set 1$

First WBCS math question set for Arithmetic practice

Solve WBCS Math Question Set in 10 minutes. Verify results from answers. Learn to solve the questions quick and easy from linked solutions.

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,

9 days
10 days
10.5 days
6 days

Problem 2

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

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

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,

$\displaystyle\frac{1003}{3}$
$\displaystyle\frac{999}{1001}$
$\displaystyle\frac{1001}{3}$
None of these

Problem 4

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

2
4
$\sqrt{2}$
8

Problem 5

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

Problem 6

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

1883
2007
1897
1987

Problem 7

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

$\displaystyle\frac{81}{16}$
$\displaystyle\frac{16}{81}$
$\displaystyle\frac{2}{9}$
$\displaystyle\frac{9}{2}$

Problem 8

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

16.6
16
14
18.8

Problem 9

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

Problem 10

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

0.6
0.006
0.06
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 First WBCS Math Question Set of 10 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

Question and Solution sets on WBCS Arithmetic

For all WBCS main arithmetic question sets click here.

For all WBCS main arithmetic solution sets click here.

WBCS main arithmetic questions

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WBCS Main Level Arithmetic Question Set 1

First WBCS math question set for Arithmetic practice

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

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Answers to the First WBCS Math Question Set of 10 questions

Concept tutorials and articles on Arithmetic

Number system, fractions and surds

Ratio and proportion and mixing liquids

Percentage

Componendo dividendo

Simple interest and compound interest

Work time, work wages and pipes and cisterns

Speed time distance, train problems and boats in rivers

Profit and loss

Clocks and Calendars

Question and Solution sets on WBCS Arithmetic