WBCS Main level Arithmetic Question set 2 | SureSolv

WBCS Main level Arithmetic Question set 2

Second question set for WBCS Main level Arithmetic

wbcs-mains-level-question-set-2

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 second 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.

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

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


2nd WBCS main level Arithmetic: time 10 mins

Problem 1

If sum of two numbers is 10 and the sum of their reciprocals is $\displaystyle\frac{5}{12}$, the numbers would be,

  1. 6 and 4
  2. 8 and 2
  3. 9 and 1
  4. 7 and 3

Problem 2

A man bought 4 trousers at Rs.750 each, 4 shirts at Rs.450 each and 12 pairs of shoes at Rs.750 each. What is the average expenditure per item?

  1. Rs.900
  2. Rs.1000
  3. Rs.690
  4. Rs.800

Problem 3

A dishonest dealer declares that he sells his goods at cost price, but actually he uses a false weight of 900gms for 1kg weight. His profit percentage is,

  1. $13%$
  2. $11.25%$
  3. $12\displaystyle\frac{1}{9}%$
  4. $11\displaystyle\frac{1}{9}%$

Problem 4

Which of $\sqrt[3]{3}$ and $\sqrt{2}$ is larger?

  1. $\sqrt[3]{3}$
  2. $\sqrt{2}$
  3. The two are equal
  4. None of the above

Problem 5

If P is 50% of Q and Q is 50% of R then, P : Q : R is,

  1. 4 : 2 : 1
  2. 1 : 2 : 4
  3. 2 : 1 : 4
  4. 1 : 4 : 2

Problem 6

The number of digits of the square root of 0.00059049 is,

  1. 6
  2. 5
  3. 3
  4. 4

Problem 7

What is the ratio of areas of two squares if the ratio of their diagonals is 5 : 2?

  1. 125 : 8
  2. 5 : 2
  3. 4 : 25
  4. 25 : 4

Problem 8

Two trains, each 100m long and moving in opposite directions, cross each other in 8 secs. If one is moving twice as fast as the other, the speed of the faster train is,

  1. 60km/hr
  2. 70km/hr
  3. 50km/hr
  4. 40km/hr

Problem 9

In what ratio must water be mixed with milk to make a profit of $16\displaystyle\frac{2}{3}$% on selling the diluted milk at cost price?

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

Problem 10

A policeman, while running to catch a thief, is 114m behind the thief. The policeman runs 21m and the thief runs 15m every minute. In what time will the policeman catch the thief?

  1. 18 minutes
  2. 16 minutes
  3. 19 minutes
  4. 17 minutes

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

WBCS Mains level Arithmetic solution set 2.

Answers to the questions

Problem 1. Answer: Option a: 6 and 4.

Problem 2. Answer: Option c: Rs.690.

Problem 3. Answer: Option d: $11\displaystyle\frac{1}{9}$.

Problem 4. Answer: Option a: $\sqrt[3]{3}$.

Problem 5. Answer: Option b: 1 : 2 : 4.

Problem 6. Answer: Option d: 4.

Problem 7. Answer: Option d: $\displaystyle\frac{25}{4}$.

Problem 8. Answer: Option a: 60km/hr.

Problem 9. Answer: Option d: 1 : 6.

Problem 10. Answer: Option c: 19 minutes.


Question and Solution sets on WBCS Main Arithmetic

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