# Mathematics – WBCS Preliminary Question Paper

Contents

###### wbcs preliminary math question

Answer & Video Explanation are given at the end of every year questions.

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## WBCS Preliminary Question – 2023

- Five boys A, B, C, D and E play a game of cards. Each boy has 10 cards. E borrows 3 cards from A and give away 5 to C who in turn gives 4 to B, while B passes 2 to D. How many cards does D have?

(A) 9

(B) 10

(C) 11

**(D) 12**

- Find the value of

(A) .01

**(B) .02**

(C) 1/2

(D) .03

- The perimeter of a triangle whose sides are in the ratio ¹⁄₂₀ : ¹⁄₁₅ : ¹⁄₁₂ is 30 cms. The length of the biggest side is

(A) 7(½) cms

(B) 10 cms

**(C) 12(½) cms**

(D) 7 cms

- Let,
*n*Pr =*n*(*n*– 1)(*n*– 2) …(*n*– r + 1), where*n*,*r*are integers such that 1 ≤*r*≤*n*. If*n*P4 = 5040, find*n*.

**(A) 10**

(B) 12

(C) 20

(D) 16

- Suppose

x * y = x + y, if x < y

= x – y, if x > y

= 2x, if x = y

Evaluate

5 * (7 * 2) + (5 * 7) * 2

**(A) 20**

(B) 21

(C) 22

(D) 19

- A man encashes a cheque of ₹ 6000/- from a Bank. The Bank pays him in 200 rupee notes and 100 rupee notes, totalling 48. The number of 200 rupee notes is

(A) 20

**(B) 12**

(C) 36

(D) 24

- Find the least number added to 8798 × 8792 to make it a perfect square

(A) 7

(B) 3

(C) 6

**(D) 9 **

- There are 75 questions in a question paper, each carrying 2 marks. 1 mark is deducted for each question answered incorrectly. A student answering all the questions got 45 marks. What is the number of questions correctly answered by the student?

(A) 42

(B) 41

(C) 45

**(D) 40**

- In an examination, 55% of the Candidates failed in English, 65% failed in Mathematics, whereas 24% failed in both. Find the percentage of candidates passed in the both subjects.

**(A) 4%**

(B) 4.5%

(C) 5%

(D) 5.5%

- If

Then the value of *f*(-x)

**(A) ***f***(x)**

(B)* -f*(x)

(C) *f*(-1/x)

(D) *-f*(1/x)

Video Explanation

## WBCS Preliminary Question – 2022

- Which of the following fractions is greater than 3/4 and less 5/6 than

(A) 2/3

(B) 1/2

**(C) 4/5**

(D) 9/10

- The next term in the sequence 4, 10, 22, 46 is

(A) 56

(B) 66

**(C) 94**

(D) 92

- Fill in the gap:

3, 8, 6, 14, _____, 20

(A) 11

(B) 10

(C) 8

**(D) 9**

- The age of father is twice that of elder son. Ten years hence, the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, find the age of the father.

**(A) 50 years**

(B) 55 years

(C) 60 years

(D) 70 years

- The average of 6 consecutive odd numbers is 64. Greatest of them is

(A) 67

(B) 65

(C) 71

**(D) 69**

- In a group of cows and hens, the number of legs are 14 more than twice the number of heads. How many cows are there?

**(A) 7**

(B) 12

(C) 5

(D) 10

- In a camp there was food for 190 days of 4000 men. After 30 days 800 men left. Remaining men will spend the remaining food in how many days?

(A) 250 days

(B) 230 days

**(C) 200 days **

(D) 170 days

- What is the percentage of a cloth that should be excluded from 40 metre cloth so that the remaining portion is 7 metre ?

(A) 17.5

(B) 19

**(C) 82.5**

(D) 81

- A fruit seller after purchasing a basket of mangoes saw that some fruits are rotten. He incurred a loss of 5% after selling the rest of the mangoes at ₹2,280 How much money did he spend in purchasing a basket of mangoes?

(A) ₹3,000

(B) ₹4,000

**(C) ₹2,400 **

(D) ₹2,500

- In a chess tournament, each of six players will play every other player exactly once. How many matches will be played in the tournament?

(A) 12

**(B) 15**

(C) 30

(D) 72

## WBCS Preliminary Question – 2021

157. A vehicle covers half the distance with uniform speed v1 and the other half with uniform speed v2. The average speed of the vehicle is

177. Manoj can type 100 pages of a report in 10 hours and Bobby can do the same in 15 hours. They worked together for 5 hours. The remaining work was completed by Lucy in 2 hrs. If they received Rs. 2,400 for whole work, Lucy got

(A) Rs. 300

(B) Rs.250

(C) Rs. 200

(D) Rs. 400

178. The ratio of 6 inches to 4 feet will be

(A) 1 : 6

(B) 1 : 4

(C) 3 : 2

(D) 1 : 8

181. A ladder is kept against a wall. The top of the ladder touches the wall at a height of 270 cm from the ground. The base of the ladder is 54 cm away from the wall on the ground. Find the length of the ladder.

182. 480 students out of 1500 are enrolled in NCC. What percentage of students are not there in NCC ?

(A) 70%

(B) 68%

(C) 73%

(D) 64%

183. A building which is 64 feet high cast a shadow of length 96 feet. The height of telephone tower, which cast a shadow of length 180 feet, under similar condition is

(A) 80 feet

(B) 100 feet

(C) 120 feet

(D) 90 feet

188. Mohan takes 6 hours to do a job. Laltu takes 10 hours to do the same job. How long should it take if Mohan and Laltu work together the same job ?

192. A train is 150 m long. It is running at a speed of 41 kmph. A man is running at 11 kmph in the same direction as the train. In what time will it pass the man ?

197. What is the missing number ?

32, 19, 8, ?

(A) 3

(B) 12

(C) 5

(D) 1

198. What is the missing number ?

1, 2, 10, 37, 101, ?

(A) 320

(B) 226

(C) 206

(D) 402

## WBCS Preliminary Question – 2020

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

C | B | C | B | A | B | B | B |

9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |

C | A | A | A | D |

## WBCS Preliminary Question – 2019

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 |

C | D | C | D | D | B | C |

#### Video Explanation

## WBCS Preliminary Question – 2018

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

B | A | D | A | C | C | C | C | A |

#### Video Explanation

## WBCS Preliminary Question – 2017

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

B | A | B | C | B | C | A | B |

9 | 10 | 11 |

C | B | A |

#### Video Explanation

## WBCS Preliminary Question – 2016

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

B | B | C | B | B | C | D | D |

9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |

D | A | C | C | B | C | D | C |

#### Video Explanation

## WBCS Preliminary Question – 2015

#### Answer

1 | 2 | 3 | 4 |

B | D | D | D |

#### Video Explanation

## WBCS Preliminary Question – 2014

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

A | A | B | A | C | B | A | C | D | C |

11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |

C | D | C | B | C | D | A | D | B | A |

#### Video Explanation

## WBCS Preliminary Question – 2013

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

A | B | B | C | C | B | B | B |

9 | 10 | 11 | 12 | 13 | 14 |

B | D | C | B | D | C |

#### Video Explanation

## WBCS Preliminary Question – 2012

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

B | C | B | C | A | C | C | B | C | C |

11 | 12 | 13 | 14 | 15 | 16 | 17 |

D | B | D | C | B | C | D |

#### Video Explanation

## WBCS Preliminary Question – 2011

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

C | D | C | B | D | D | C | C |

9 | 10 | 11 | 12 | 13 | 14 |

A | A | A | C | C | B |

#### Video Explanation

## WBCS Preliminary Question – 2010

#### Answer

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

D | D | B | A | C | C | C | C | C | C |