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WBCS Main level Arithmetic Question set 3

Third question set for WBCS Main level Arithmetic

wbcs-mains-level-question-set-3

Compulsory paper VI of WBCS Main is on Arithmetic and Test of Reasoning. It has 200 questions to be answered in 180 minutes. In this third question set on Arithmetic, 10 representative questions are included. The time recommended is 10 minutes.

Before going through the test, to refresh concepts on any topic or to know how to solve problems at a high speed, you should refer to our concept tutorials and articles listed below.

To skip this list of concept tutorials and go straight to the questions, 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 main level Arithmetic: time 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,

WBCS Main level Arithmetic solution set 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 Main Arithmetic

WBCS Main level Arithmetic Solved Question set 12

WBCS main level Arithmetic Solution set 11

WBCS main level Arithmetic Question set 11

WBCS main level Arithmetic Solution set 10

WBCS main level Arithmetic Question set 10

WBCS main level Arithmetic Solution set 9

WBCS main level Arithmetic Question set 9

WBCS main level Arithmetic Solution set 8

WBCS main level Arithmetic Question set 8

WBCS Main level Arithmetic Solution Set 7

WBCS Main level Arithmetic Question Set 7

WBCS Main level Arithmetic Solution set 6

WBCS Main level Arithmetic Question set 6

WBCS Main level Arithmetic Solution set 5

WBCS Main level Arithmetic Question set 5

WBCS Main level Arithmetic Solution set 4

WBCS Main level Arithmetic Question set 4

WBCS Main level Arithmetic Solution set 3

WBCS Main level Arithmetic Question set 3

WBCS Main level Arithmetic Solution set 2

WBCS Main level Arithmetic Question set 2

WBCS Main level Arithmetic Solution set 1

WBCS Main level Arithmetic Question set 1


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