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WBCS Math Question set for Arithmetic Practice 3

WBCS Arithmetic Question set 3

3rd selected WBCS math question set for Arithmetic practice

Solve WBCS Arithmetic question set 3 in 10 minutes. Verify from answers. To solve this quick you have to solve the questions in mind. Learn from solutions.

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.


WBCS arithmetic question set 3: 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. $1:\pi$

Learn to solve the questions in mind from the companion solution set,

Solution to WBCS Math Question set for Arithmetic Practice 3.


Answers to the WBCS arithmetic question set 3

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: $\sqrt{\pi}:1$.


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