Answer & Video Explanation are given at the end of every year questions.
WBCS Preliminary Question – 2019
1. Which of the following interchanges of numbers would make the given equation correctÂ ?
Â Â Â Â Â 8 x 20 Ã· 3 + 9 – 5 = 38
(A) 3, 8Â Â Â Â Â
(B) 8, 9Â Â Â Â Â
(C) 3,Â 5 Â Â Â
(D) 3,Â 9
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2. A result of a survey of 1000 persons with respect to their knowledge of Hindi (H), English (E) and Sanskrit (S) is given below:
Â Â Â Â What is the ratio of those who know all the three languages to those who do not know Sanskrit ?
(A) 1 : 9
(B) 1 : 10Â Â Â Â Â Â
(C) 10 : 17Â Â Â Â Â
(D) 5 : 27
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3. An arc of length 121 cm makes an angle 77Â° at the centre of a circle. The radius of the circle is
(A) 110 cmÂ Â Â Â Â Â
(B) 100 cmÂ Â Â Â Â Â Â
(C) 90 cmÂ Â Â Â Â Â
(D) 70 cm
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4. The arithmetic mean of the numbers 9, 12, 15, 18, 20, 22 is increased by 1, if 15 is replaced by
(A) 16Â Â Â Â Â
(B) 17Â Â Â Â Â Â Â
(C) 19Â Â Â Â Â Â
(D) 21
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5. The percentage increase in the surface area of a cube when each side doubled is
(A) 25%Â Â Â Â Â Â Â
(B) 50%Â Â Â Â Â Â Â
(C) 150%Â Â Â Â Â Â
(D) 300%
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6. Find the LCM of 4/3, 8/9 and 3/5
(A) 20Â Â Â Â Â Â Â
(B) 24Â Â Â Â Â Â Â
(C) 124Â Â
(D) 120
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7.Â
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(A) 330Â Â Â Â Â Â
(B) 345Â Â Â Â Â Â
(C) 355Â Â Â Â Â Â
(D) 360
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Answer
1

2

3

4

5

6

7

C

D

C

D

D

B

C

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Video Explanation
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WBCS Preliminary Question – 2018
1. What is the ratio of the perimeter of the shaded region to the circumference of the circle?
(A) 3/4Â Â Â Â Â Â Â
(B)Â 4+Ï€/4Ï€
(C)Â 2Ï€/4+Ï€
(D)Â 4+Ï€/2Ï€
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2. If per cent increase in radius of cylinder is 300. Then volume of the cylinder changes by how much percent? (Keeping height of the cylinder constant)
(A) 1500%Â Â Â Â Â Â
(B) 600%Â Â Â Â Â Â
(C) – 600%Â Â Â Â Â
(D) None of the above
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3. The difference of the ages of Rohit and Axar is 12 years. The ratio of their ages is 3 : 5 . The age Axar is
(A) 32 yearsÂ Â Â Â Â Â
(B) 24 yearsÂ Â Â Â Â Â
(C) 28 yearsÂ Â Â Â Â Â
(D) 30 years
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4. Two pipes can fill a cistern in 20 minutes and 30 minutes respectively. Both pipes being opened, time when the first pipe must be turned off so that the cistern may be filled in 10 minutes more will be
(A) 8 minutesÂ Â Â Â Â Â
(B) 9 minutesÂ Â Â Â Â Â
(C) 10 minutesÂ Â Â Â Â Â
(D) 12 minutes
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5. A clock strikes one at 1 oâ€™ clock, twice at 2 oâ€™clock, â€¦.. twelve times at 12 oâ€™ clock. How many times will the bell strike in course of 2 days ?
(A) 78Â Â Â Â Â Â
(B) 264Â Â Â Â Â Â
(C) 312Â Â Â Â Â Â
(D) 444
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6. P is greater than Q by 60% and greater than R by 30%. The ratio of Q and R is
(a) 1 : 2
(b) 2 : 1
(c) 13 : 16
(d) 16 : 13
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7. A dishonest dealer defrauds his seller and buyer by using forged weights to the extent of 20%. His true gain per cent is
(a) 20%
(b) 40%
(c) 44%
(d) 50%
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8. In a mixture ratio of first and second liquid is 2 : 3 and in another mixture ratio of those two liquids is 5 : 4. Ratio in which the two mixture be mixed so that quantity of two liquids in the new mixture of two liquid in the new mixture be equal is
(a) 2 : 5
(b) 3 : 7
(c) 5 : 9
(d) 9 : 11
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9. What should come in the place of question mark in the following series?
Â Â Â 3, 8, 6, 14, ?, 20
(a) 12
(b) 20
(c) 42
(d) 9
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Answer
1

2

3

4

5

6

7

8

9

B

A

D

A

C

C

C

C

A

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Video Explanation
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WBCS Preliminary Question – 2017
1. If a * b = ab + b – a, what is the value of c such that c* (2*5) = 97 ?
(A) 8Â Â Â Â Â Â Â
(B) 7Â Â Â Â Â Â Â
(C) 3Â Â Â Â Â Â Â
(D) 91
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2. Due to rotten fish, a fish trader forces to sell in 10% loss. If the purchase value is Rs. 250, the selling price will be
(A) Rs. 225Â Â Â Â Â Â
(B) Rs. 240Â Â Â Â Â Â
(C) Rs. 235Â Â Â Â Â
(D) Rs. 230
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3. A man won Rs. 60,000 in a lottery. 35% of the money was taken by the Govt. as a tax. He actually receives
(A) Rs. 21,000Â Â Â Â Â Â Â Â
(B) Rs. 39,000Â Â Â Â Â Â Â Â Â
(C) Rs. 18,000Â Â Â Â Â Â
(D) Rs. 40,000
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4. Due to some error in the weighting machine, Aahana’s weight was shown 72 kg as against the actual value of 80 kg. The percentage error is
(A) 9%Â Â Â Â Â Â Â
(B) 8%Â Â Â Â Â Â Â Â
(C) 10%Â Â Â Â Â Â Â
(D) None of the above
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5. 40% of A is 60% of B. A : B will be
(A) 2 : 3 Â Â Â Â Â
(B) 3 : 2Â Â Â Â Â Â Â
(C) 7 : 8Â Â Â Â Â Â Â
(D) 8 : 7
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6. Ratio of Bus and Train fare is 4 : 5. If Bus fare increases by 10% and Train fare increases by 20%, new ratio of Bus and Train fare will be
(A) 15 : 11 Â Â Â Â
(B) 7 : 13 Â Â Â Â Â Â
(C) 11 : 15Â Â Â Â Â Â
(D) 5 : 9
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7. In an examination, 35% students fail in MathÂematics, 15% fail in English. If 10% fail in both, the pass percent is
(A) 60%Â Â Â Â Â Â Â Â
(B) 40%Â Â Â Â Â Â
(C) 35%Â Â Â Â Â Â
(D) 25%
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8. A person, standing on a railway platform 120 meters long, notices that a train, which passed him in 5 seconds, passed completely through the station in 15 seconds. The length of the train is
(A) 50 mÂ Â Â Â Â Â Â
(B) 60 mÂ Â Â Â Â Â Â
(C) 100 mÂ Â Â Â Â Â
(D) 55 m
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9. A man deposited Rs. 3,000 in a Bank and Rs. 2,500 in a Post Office. Rate of interest of Bank is 1/2% more than that of Post Office. If he gets Rs. 235 as total interest at the end of the year, the rate of interest of Post Office is
(A) 2%Â Â Â Â Â Â Â
(B)Â 21/2%Â Â Â Â Â Â Â Â Â
(C) 4%Â Â Â Â Â Â Â
(D)Â 41/2%
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10. The population of a district increases by 4% during the first year and decreases by 5% during the second year. If the present population of a district is 494000, two years ago it was
(A) 475000Â Â Â Â Â Â Â
(B) 500000Â Â Â Â Â Â Â
(C) 525000Â Â Â Â Â Â Â
(D) 600000
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11. A box contains one red ball, one blue ball and one green ball. The ratio of the weight of the red and blue ball is 5 : 6 and that of blue and green ball is 5 : 4. If the blue ball weights 60g, the weight of the green ball is
(A) 48 gÂ Â Â Â Â Â Â
(B) 50 gÂ Â Â Â Â Â Â
(C) 40 gÂ Â Â Â Â Â
(D) 55 g
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Answer
1

2

3

4

5

6

7

8

B

A

B

C

B

C

A

B

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Video Explanation
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WBCS Preliminary Question – 2016
1.Â The greatest number consisting of five digits which is a perfect square isÂ â€”
(A) 99866Â Â Â Â Â Â Â Â Â Â
(B) 99856Â Â Â Â Â Â Â Â Â
(C) 99846Â Â Â Â Â Â Â
(D)Â 99876
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2.Â The ratio of the radius of two circles is 5Â : 4.Â What is the ratio of their areasÂ ?
(A) 5Â : 4Â Â Â Â Â Â Â Â Â
(B) 25Â : 16Â Â Â Â Â Â Â Â
(C) 6Â : 7Â Â Â Â Â Â Â Â
(D) 9Â :Â 13
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3.Â Â A profit of 25% is made by selling an article for Rs. 30.Â If the article was sold for Rs. 33.60, the profit would haveÂ been
(A) 30%Â Â Â Â Â Â Â Â
(B) 35%Â Â Â Â Â Â Â Â Â
(C) 40%Â Â Â Â Â Â Â
(D)Â 45%
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4.Â The incomes of A and B are in the ratio 3Â : 2 and their expenditures are in the ratio 5Â : 3. If each saves Rs. 1,000, then Bâ€™s incomeÂ is
(A) Rs. 3,000Â Â Â Â Â Â Â
(B) Rs. 4,000Â Â Â Â Â Â Â
(C) Rs. 6,000Â Â Â Â Â Â Â
(D) Rs.Â 800
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5.Â There are 100 questions in a question paper, each carrying 2 marks. But there is a negative marking. 1 mark is deducted for each question answered incorrectly. A student answering all the questions got 80 marks. The number of questions correctly answered by himÂ is –
(A) 70Â Â Â Â Â Â Â
(B) 60Â Â Â Â Â Â Â
(C) 80Â Â Â Â Â Â
(D)Â 75
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6.Â What is the least number to be added to 1500 to make it a perfect squareÂ ?
(A) 12Â Â Â Â Â Â
(B) 15Â Â Â Â Â Â
(C) 21Â Â Â Â Â
(D)Â 25
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7.Â If 17200Â is divided by 18, the remainder isÂ â€”
(A) 16Â Â Â Â Â
(B) 17Â Â Â Â Â
(C) 5Â Â Â Â Â Â
(D)Â 1
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8.Â The next term in the sequenceÂ 4, 10, 22, 46, â€¦ is –
(A) 66Â Â Â Â Â Â
(B) 76Â Â Â Â Â Â Â
(C) 56Â Â Â Â Â Â Â
(D)Â 94
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9.Â The speeds of three cars are in the ratio 2Â : 3Â : 4. The ratio between the time taken by these cars to travel the same distance isÂ –
(A) 2Â : 3Â : 4Â Â Â Â Â Â
(B) 4Â : 3Â : 6Â Â Â Â Â Â Â
(C) 3Â : 4Â : 6Â Â Â Â Â Â Â
(D) 6Â : 4Â :Â 3
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10.Â Â A sum of money kept in a bank amounts to Rs. 1,240 in 4 years and Rs. 1,600 in 10 years at simple interest. Find theÂ sum.
(A) Rs.1,000Â Â Â Â Â Â Â
(B) Rs.800Â Â Â Â Â Â Â
(C) Rs.1,950Â Â Â Â Â
(D) Rs.1,100
11.Â If 3 mangoes are sold for the cost price of Rs. 4, the profitÂ isâ€”
(A) 16Â 1/3Â %Â Â Â Â Â
(B) 33Â 1/4Â %Â Â Â Â Â Â Â
(C) 33Â 1/3Â %Â Â Â Â Â Â Â
(D) 40Â 1/2Â %
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12.Â What is the digit in the unit place of (232)33Â ?
(A) 6Â Â Â Â Â Â
(B) 4Â Â Â Â Â Â Â
(C) 2Â Â Â Â Â Â
(D)Â 8
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13.Â How many ways a captain and a vicecaptain can be selected from a team of 11 playersÂ ?
(A) 99Â Â Â Â Â Â Â Â
(B) 110Â Â Â Â Â Â Â
(C) 98Â Â Â Â Â Â
(D)Â 22
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14.Â A clock strikes once at 1 oâ€™ clock, twice at 2 oâ€™ clock, â€¦â€¦â€¦ twelve times at 12 oâ€™ clock. How many times will the bell strike in course of 2 daysÂ ?
(A) 78Â Â Â Â Â Â
(B) 264Â Â Â Â Â Â Â
(C) 312Â Â Â Â Â Â
(D)Â 144
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15.Â A number X lies between 0 and 1.Â which of the following is trueÂ ?
(A) X >Â âˆšx
(B) X > 1/x
(C) X3Â > X2Â
(D) 1/x > âˆšx
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16.Â Â The salary of Anup is 30% more than of Barun. Find what percentage is the salary of Barun less than that of AnupÂ ?
(A) 26.12 %Â Â Â Â Â Â Â Â
(B) 21.23 %Â Â Â Â Â Â Â Â Â Â
(C) 23.07 %Â Â Â Â Â Â Â
(D) 17.03Â %
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Answer
1

2

3

4

5

6

7

8

B

B

C

B

B

C

D

D

Â
9

10

11

12

13

14

15

16

D

A

C

C

B

C

D

C

Â
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Video Explanation
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WBCS Preliminary Question – 2015
1.Â Â In a class of 60 where boys are twice that of girls, Ram ranked 17th from the top. If there are 9 boys ahead of Ram, how many girls are after him in the rankÂ ?
(A) 26Â Â Â Â Â Â
(B) 13Â Â Â Â Â
(C) 12Â Â Â Â Â
(D)Â 33
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2.Â Flight to Mumbai leaves every 5 hours. At the information counter I learnt that the flight took off 25 minutes before. If the time now is 10.45 a.m., what is the time for the next flightÂ ?
(A) 2.20 a.m.Â Â Â Â Â Â Â
(B) 3.30 a.m.Â Â Â Â Â Â Â
(C) 3.55 P.m.Â Â Â Â Â
(D) 3.20Â P.m.
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3.Â What should come in the place of question mark in the following seriesÂ ?
Â Â Â 3, 8, 6, 14, ?, 20
(A) 11Â Â Â Â Â
(B) 10Â Â Â Â Â
(C) 8Â Â Â Â Â Â
(D)Â 9
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4.Â Babloo ranked 16th from the top and 29th from the bottom among those who passed an examination. 6 boys did not participate in the competition and 5 failed in the examination. How many boys were there in that classÂ ?
(A) 44Â Â Â Â Â Â
(B) 40Â Â Â Â Â Â
(C) 50Â Â Â Â Â Â Â
(D) 55
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Answer
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Video Explanation
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WBCS Preliminary Question – 2014
1.Â Find the wrong number among theÂ following.
(A) 1381Â Â Â Â Â
(B) 343Â Â Â Â Â Â
(C) 8Â Â Â Â Â
(D)Â 125
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2.Â Find the wrong number among theÂ following:
Â Â Â Â Â Â 7,Â 28,Â 63,Â 124,Â 215,Â 342,Â Â 511
(A) 28Â Â Â Â Â
(B) 124Â Â Â Â Â
(C) 342Â Â Â Â Â
(D)Â 215
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3.Â Simantika sold two radios for Rs. 2000 each. On one she gains 16 % and on the other she losses 16 %.Â Find her gain or loss per cent in the wholeÂ transaction.
(A) 5.28Â Â Â Â Â Â Â
(B) 2.56Â Â Â Â Â
(C) 4.68Â Â Â Â Â Â
(D)Â 8.01
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4.Â The difference between 78% of a number and 59% of the number is 323. What is 62% of that numberÂ ?
(A) 1054Â Â Â Â Â
(B) 1178Â Â Â Â Â
(C) 1159Â Â Â Â Â
(D)Â 1037
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5.Â The population of a city increases at the rate of 15% pa. If its population was 4000 at the end of 2009. Find its population at the end of 2011Â .
(A) 5390Â Â Â Â Â Â
(B) 4780Â Â Â Â Â Â Â
(C) 5290Â Â Â Â Â Â
(D)Â 8256
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6.Â How many iron rods each of length 14 m. and diameter 4 cm. can be made out of 0.88 m3Â of ironÂ ?
(A) 45Â Â Â Â Â
(B) 50Â Â Â Â Â
(C) 65Â Â Â Â Â
(D)Â 80
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7.Â 879 x 439 + 879 x 321 =Â ?
(A) 668040Â Â Â Â Â Â
(B) 669040Â Â Â Â Â Â
(C) 667030 Â Â Â Â Â
(D)Â 666040
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8.Â 48% of the first number is 60% of the second number. What is the ratio of the first number to the second numberÂ ?
(A) 4Â : 7Â Â Â Â Â Â
(B) 3Â : 4Â Â Â Â Â Â Â
(C) 5Â : 4Â Â Â Â Â Â
(D) 3Â :Â 2
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9.Â The product of two consecutive odd numbers is 6723. What is the greater numberÂ ?
(A) 89Â Â Â Â Â
(B) 85Â Â Â Â Â
(C) 91Â Â Â Â Â Â
(D)Â 83
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10.Â 60Â : 15Â :: *Â : 1/4 ,Â Â FindÂ Â *
(A) 1.1Â Â Â Â Â Â
(B) 2.1Â Â Â Â Â
(C) 1Â Â Â Â Â
(D)Â 0.1
11.Â What is the value of twofifth of 60% of 320Â ?
(A) 76.6Â Â Â Â
(B) 38.4Â Â Â Â Â Â
(C) 76.8Â Â Â Â Â
(D)Â 37.4
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12.Â The difference of the age of Riju and Rivu is 12 years. The ratio of their ages is 3Â : 5.Â The age of RivuÂ is
(A) 32 yearsÂ Â Â Â Â
(B) 24 yearsÂ Â Â Â Â
(C) 28 yearsÂ Â Â Â Â Â Â
(D) 30Â years
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13.Â Average of 5 numbers is 50. If every number is multiplied by 2, find theÂ average.
(A) 52Â Â Â Â
(B) 48Â Â Â Â Â
(C) 100Â Â Â Â Â
(D)Â 25
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14.Â A boat is rowed downstream at 35 Km./hr. and upstream at 17 km./hr. Find the speed of theÂ stream.
(A) 4 km./hr.Â Â Â Â Â Â
(B) 9 km./hr.Â Â Â Â Â
(C) 6 km./hr.Â Â Â Â Â Â
(D) 7Â km./hr.
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15.Â Find the missing number from theÂ series.
Â Â Â Â Â Â Â 8,Â 15,Â 28,Â 53,Â Â ?,Â Â 199
(A) 104Â Â Â Â Â Â
(B) 103Â Â Â Â Â Â Â
(C) 102Â Â Â Â Â Â
(D)Â 101
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16.Â If the difference of the square of two natural numbers is 19, find the sum of the squares of theseÂ numbers.
(A) 220Â Â Â Â Â Â
(B) 169Â Â Â Â Â Â
(C) 189Â Â Â Â Â Â Â
(D)Â 181
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17.Â Â A circular wire of radius 42 cm. is cut and bent in the form of an rectangle whose sides are in the ratio of 6Â : 5. Find the smaller side of theÂ rectangle.
(A) 60 cm.Â Â Â Â Â Â
(B) 120 cm.Â Â Â Â Â Â
(C) 177 cm.Â Â Â Â Â Â
(D) 110Â cm.
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18.Â TriangleÂ ABCÂ is rightangled at B. IfÂ ABÂ = 24 mm. andÂ BCÂ = 7 mm. thenÂ ACÂ =Â ?
(A) 31 mmÂ Â Â Â Â Â
(B) 21 mmÂ Â Â Â Â
(C) 35 mmÂ Â Â Â Â Â
(D)Â 25 mm
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19.Â Every angle of a regular hexagonÂ is
(A) 90Â°Â Â Â Â Â
(B) 120Â°Â Â Â Â
(C) 135Â°Â Â Â Â Â
(D)Â 145Â°
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20.Â Find the value of K for which theÂ lines
Â Â Â Â Â Â Â 5x + 3y + 2 = 0 and 3x – Ky + 6 = 0 areÂ perpendicular.
(A) 5Â Â Â Â
(B) 32Â Â Â
(C) 14Â Â Â Â
(D)Â 6
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Answer
1

2

3

4

5

6

7

8

9

10

A

A

B

A

C

B

A

C

D

C

Â
11

12

13

14

15

16

17

18

19

20

C

D

C

B

C

D

A

D

B

A

Â
Â
Video Explanation
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WBCS Preliminary Question – 2013
1.Â
Â
Â
(A) 2.0Â Â Â Â
(B) 1.75 Â Â Â
(C) 1.0 Â Â Â
(D)Â 2.5
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2.Â
Â
Â
Â
(A) 125Â Â Â Â Â Â Â
(B) 80Â Â Â Â Â Â
(C) 205Â Â Â Â Â
(D)Â 170
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3.Â The least integer multiplied by 112 to make the result a perfect square isÂ â€”
(A) 2Â Â Â Â Â
(B) 7Â Â Â Â Â
(C) 3Â Â Â Â
(D)Â 11
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4.Â A square lamina is made from three square laminae, whose sides are 2 cm, 3 cm, and 6 cm. The side of the new square lamina isÂ â€”
(A) 11 cmÂ Â Â Â Â
(B) 10 cmÂ Â Â Â Â Â
(C) 7 cmÂ Â Â Â Â Â
(D) 9Â cm
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5.Â Two numbers are in the ratio 7Â : 9 and their difference is 6.Â The numbers areÂ â€”
(A) 49, 55Â Â Â Â Â
(B) 91, 97Â Â Â Â Â Â Â Â
(C) 21, 27Â Â Â Â Â Â
(D)Â 42, 54
Â
6.Â Find the missing term of the seriesÂ :
Â Â Â 24,Â 25,Â 27,Â Â ?,Â 39,Â Â 55
(A) 29Â Â Â Â Â Â
(B) 31Â Â Â Â Â
(C) 33Â Â Â Â Â
(D)Â 35
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7.Â A man sells an article at a loss of 10%. If he had sold it for Rs. 40 more he would have gained 10%. The cost price of the article isÂ â€”
(A) Rs. 250Â Â Â Â Â Â
(B) Rs. 200Â Â Â Â Â Â Â
(C) Rs. 300Â Â Â Â Â Â
(D) Rs.Â 180
Â
8.Â Â At every forty five minutes a train crosses the Maharaja Gate.Â Just 10 minutes ago one train crossed the gate and next will be crossing at 9.35Â A. M.Â What is time nowÂ ?
(A) 9.15Â A.M.Â Â Â Â Â Â
(B) 9.00Â A.M.Â Â Â Â Â Â Â
(C) 9.05Â A.M.Â Â Â Â Â Â
(D) 9.10Â A.M.
9.Â The difference between two numbers is 15 and the difference between their square root is 1.Â The smaller number isÂ â€”
(A) 81Â Â Â Â Â Â
(B) 49Â Â Â Â Â Â Â
(C) 36Â Â Â Â Â
(D)Â 25
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10.Â 12Â : 20 = *Â : 25, the missing term isÂ â€”
(A) 16Â Â Â Â Â
(B) 24Â Â Â Â Â Â
(C) 18Â Â Â Â Â Â
(D)Â 15
Â
11 .Â Manish can type 500 words in 10 minutes and Rana can type 400 words in 10 minutes. In how many minutes they can together type 3600 wordsÂ ?
(A) 60 minutesÂ Â Â Â Â Â
(B) 45 minutesÂ Â Â Â Â Â Â Â Â
(C) 40 minutesÂ Â Â Â Â Â
(D) 38Â minutes
Â
12.Â Find out the missing figureÂ :
Â Â Â Â 46,Â 56,Â 67,Â 80,Â Â ?,Â Â 104
(A) 101Â Â Â Â Â Â
(B) 88Â Â Â Â Â Â
(C) 83Â Â Â Â Â
(D)Â Â 91
Â
13.Â A cube painted black on all sides. It is then cut into 64 cubes of equal size. How many of these smaller cubes are painted on one side onlyÂ ?
(A) 4Â Â Â Â Â
(B) 8Â Â Â Â Â
(C) 16Â Â Â Â Â Â
(D)Â 24
Â
14.Â The area of a sphere in sq.cm. is 3 times its volume in cu.cm. The diameter of the sphere isÂ :
(A) 1 cmÂ Â Â Â Â Â
(B)Â Ï€Â cmÂ Â Â Â Â Â Â
(C) 2 cmÂ Â Â Â Â Â
(D) 3Â cm
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Answer
1

2

3

4

5

6

7

8

A

B

B

C

C

B

B

B

Â
9

10

11

12

13

14

B

D

C

B

D

C

Â
Â
Video Explanation
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WBCS Preliminary Question – 2012
1.Â The ratio of the radii of two circle is 5Â : 4. What is the ratio of their areasÂ ?
(A) 5Â : 4Â Â Â Â Â Â
(B) 25Â : 16Â Â Â Â Â Â
(C) 6Â : 7Â Â Â Â Â Â
(D) 9Â :Â 13
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2.Â A profit of 25% is made by selling an article for Rs.30. If the article was sold for Rs.33.60, the profit would haveÂ been
(A) 30%Â Â Â Â Â Â
(B) 35%Â Â Â Â Â Â Â
(C) 40%Â Â Â Â Â Â
(D)Â 45%
Â
3.Â Three times the first of three consecutive odd integers is 3 more than twice the third. What is the third integerÂ ?
(A) 9Â Â Â Â Â Â
(B) 15Â Â Â Â Â Â
(C) 13Â Â Â Â Â
(D)Â 11
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4.Â If a four digit number a381 is divisible by 11, what is the value of aÂ ?
(A) 5Â Â Â Â Â
(B) 6Â Â Â Â Â
(C) 7Â Â Â Â Â
(D)Â 8
Â
5.Â A sum of money is kept in a bank account to Rs.1240 in 4 years and Rs.1600 in 10 years at simple interest. Find the sumÂ :
(A) Rs.1000Â Â Â Â Â
(B) Rs.800Â Â Â Â
(C) Rs.1050Â Â Â Â Â
(D) Rs.1100
Â
6.Â A clock strikes once at 1 Oâ€™clock , twice at 2 Oâ€™clock ,â€¦.., twelve times at 12 Oâ€™clock . How many times will the bell be struck in course of 2 daysÂ ?
(A) 78Â Â Â Â Â
(B) 264Â Â Â Â Â Â Â
(C) 312Â Â Â Â Â
(D)Â 144
Â
7.Â The salary of Anup is 30% more than that of Buran. Find by what percentage is the salary of Barun less than that ofÂ Anup
(A) 26.12%Â Â Â Â Â Â Â
(B) 21.23%Â Â Â Â Â Â Â
(C) 23.07%Â Â Â Â Â Â Â
(D)Â 27.03%
Â
8.Â A captain and a vicecaptain are to be chosen out of a team having 11 players. How many ways are there to do thisÂ ?
(A) 99Â Â Â Â Â Â
(B) 110Â Â Â Â Â
(C) 90Â Â Â Â Â
(D)Â 22
Â
9.Â Define the following functionÂ : f(x, y) = (x+y) Ã· 2, g(x, y) = x2Â – y2Â and h(x, y) = (x – y) Ã· 2, Which of the followings has a value 0.25 for x = 0 and y = 0.5Â ?
(A) f(x,y) g(x,y)Â Â Â Â
(B) g(x,y)Â Â Â Â Â Â
(C) f(x,y)Â Â Â Â Â
(D) f(x,y) +Â g(x,y)
10.Â A can do a piece of work in 10 days and B can do the same work in 20 days . With the help of C , they finish the work in 5 days . How many days will it take for C alone to finish the workÂ ?
(A) 10 daysÂ Â Â Â Â Â
(B) 15 daysÂ Â Â Â Â Â Â
(C) 20 daysÂ Â Â Â Â
(D) 5Â days
Â
11.Â A Number x lies between 0 and 1. Which of the following is trueÂ ?
(A)Â x > âˆšx
(B)Â x > 1/x
(C)Â x3 > x2
(D)Â 1/x > âˆšx
Â
12.Â The incomes of A and B are in ratio of 3Â : 2 and their expenditure are in a ratio 5Â : 3,Â If each saves Rs.1000, then Bâ€™s income isÂ :
(A) Rs. 3000Â Â Â Â Â Â Â
(B) Rs. 4000Â Â Â Â Â
(C) Rs. 600Â Â Â Â Â Â Â
(D) Rs.Â 800
Â
13.Â The speed of three cars are in ratio of 2Â : 3Â : 4. The ratio between the times taken by these cars to travel the same distance isÂ :
(A) 2Â : 3Â : 4Â Â Â Â Â Â
(B) 4Â : 3Â : 6Â Â Â Â Â Â
(C) 3Â : 4Â : 6Â Â Â Â Â Â Â
(D) 6Â : 4Â :Â 3
Â
14.Â After drawing the salary, a man deposit 10% of the sum in a bank and then paid 4% of the remainder as house rent. If he draws Rs.5000, the sum he paid as house rent isÂ :
(A) Rs.160Â Â Â Â Â Â
(B) Rs.250Â Â Â Â Â Â
(C) Rs.180Â Â Â Â Â Â
(D) Rs.225
Â
15.Â There are 100 question in the question paper each carrying 2 marks. But there is a negative marking; 1 mark is deducted from each question answered incorrectly. A student answering all the questions got 80 marks. The number of questions correctly answered by him isÂ :
(A) 70Â Â Â Â Â Â
(B) 60Â Â Â Â Â Â
(C) 80Â Â Â Â Â
(D)Â 75
Â
16.Â If 3 mangoes are sold for cost price of 4, the profit isÂ :
(A) 16 1/3 %
(B)Â 33 1/4 %
(C)Â 33 1/2 %
(D)Â 40 1/2 %
Â
17.Â The next term in the sequence 4, 10, 22, 46, â€¦Â isÂ Â Â Â Â
(A) 66Â Â Â Â Â
(B) 76Â Â Â Â Â
(C) 56Â Â Â Â Â
(D)Â 94
Â
Â
Answer
1

2

3

4

5

6

7

8

9

10

B

C

B

C

A

C

C

B

C

C

Â
11

12

13

14

15

16

17

D

B

D

C

B

C

D

Â
Â
Video Explanation
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WBCS Preliminary Question – 2011
1.Â The least positive integer n such that n! divisible by 75Â is
(A) 5Â Â Â Â Â
(B) 7Â Â Â Â Â Â
(C) 10Â Â Â Â Â
(D)Â 75
Â
2.Â Two trains each of 200 metre length, and travelling with equal speed but in opposite directions, cross each other in 10 sec. The speed of the trainsÂ is.
(A) 18 km/hrÂ Â Â Â Â Â Â
(B) 36 km/hrÂ Â Â Â Â Â
(C) 20 km/hrÂ Â Â
(D) 72Â km/hr
Â
3.Â A number, divisible by 7, which when divided by 4, 9 or 12 leaves a remainder 3. Then the numberÂ is
(A) 77Â Â Â Â Â
(B) 98Â Â Â Â Â Â
(C) 147Â Â Â Â
(D)Â 210
Â
4.Â Ram was born 4 years after his fatherâ€™s marriage. His mother is 6 yearsâ€™ younger than his father but 25 years older than Ram, who is now 16 years old.Â At what age his father got marriedÂ ?
(A)Â 25Â Â Â Â Â Â
(B) 27Â Â Â Â Â
(C) 29Â Â Â Â Â
(D)Â 31
Â
5.Â In an examination 40% students fail in English, 30% in Mathematics and 15% in both. Then the pass percentageÂ is
(A) 50%Â Â Â Â Â
(B) 30%Â Â Â Â Â
(C) 65%Â Â Â Â Â Â
(D)Â 45%
Â
6.Â 2 oranges, 3 bananas and 4 apples taken together cost Rs.15.00. 3 oranges, 2 bananas and 1 apple cost Rs.10.00. Then the cost of 3 oranges, 3 bananas and 3 applesÂ cost
(A) Rs.12.00Â Â Â Â Â Â Â Â
(B) Rs.16.00Â Â Â Â Â Â Â
(C) Rs.20.00Â Â Â Â Â Â Â Â
(D)Â Rs.15.00
Â
7.Â Which of the triangles with the measures of sides given below is an obtuseangled triangleÂ ?
(A)Â (12, 5, 13) cmÂ Â Â Â Â Â
(B) (6, 7, 5) cmÂ Â Â Â Â Â Â
(C) (7, 3, 5) cmÂ Â Â Â Â
(D) (8, 8, 8)Â cm
Â
8.Â A rectangular field is half as wide as it is long, and its perimeter is p. The area of the fieldÂ is
(A)Â p2/2
(B) 2p2Â Â Â Â Â Â
(C)Â p2/18
(D)Â 2p2/9
Â
9.Â Â Mr. X has four children. His age equals to the sum of the ages of his four children. After 20 years his age will be half of his childrenâ€™s combined age. Mr. Xâ€™s present ageÂ is
(A) 40 yearsÂ Â Â Â Â Â
(B) 56 yearsÂ Â Â Â Â
(C) 66 yearsÂ Â Â Â
(D) 70Â years
Â
10.Â A dealer sold a radio for Rs.540 losing 10%. At what price should he have sold to earn a 10% profitÂ ?
(A) Rs.660Â Â Â Â
(B) Rs.650Â Â Â Â Â Â
(C) Rs.600Â Â Â Â
(D) None of theÂ above
Â
11.Â Â If 15 apples and 20 oranges cost as much as 20 apples and 15 oranges, then which of the following conclusions is correctÂ ?
(A) Orange and apple have equal priceÂ Â Â Â Â
(B) Orange isÂ costlier
(C) Apple is costlierÂ Â Â Â Â Â
(D) No conclusion can beÂ made
Â
12.Â The next term of the series
Â Â Â Â Â Â 30, 42, 56, 72, â€¦â€¦â€¦
(A) 84Â Â Â Â Â Â
(B) 88Â Â Â Â Â Â Â
(C) 90Â Â Â Â Â Â
(D)Â 92
Â
13.Â Â If the radius of a circle is increased by 100%, then the area of the circle will be increasedÂ by
(A) 100 %Â Â Â Â Â Â Â
(B) 200 %Â Â Â Â Â Â Â
(C) 300 %Â Â Â Â Â Â Â
(D) 400Â %
Â
14.Â Â Find the odd number out from the following seriesÂ :
Â Â Â Â 25,Â 49,Â 81,Â 121,Â Â 169
(A) 25Â Â Â Â Â Â
(B) 81Â Â Â Â Â
(C) 121Â Â Â Â Â
(D)Â 169
Â
Â
Answer
1

2

3

4

5

6

7

8

C

D

C

B

D

D

C

C

Â
9

10

11

12

13

14

A

A

A

C

C

B

Â
Â
Video Explanation
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Â
WBCS Preliminary Question – 2010
1.Â An alloy contains 20% zinc, 45% nickel and rest aluminium. The total mass in gm of the alloy containing 105 gm of aluminiumÂ is
(A) 170Â Â Â Â Â Â
(B) 200Â Â Â Â Â Â
(C) 250Â Â Â Â Â Â Â
(D)Â 300
Â
2.Â 19 students appear in a class test. The average of the best 10 scores is 69 while that of the worst 10 is 38. If the average of all the 19 scores is 54, the 10th score in order of magnitudeÂ is
(A) 62Â Â Â Â Â
(B) 58Â Â Â Â Â
(C) 46Â Â Â Â Â Â
(D)Â 44
Â
3.Â 50 added to 60% of a number is the number itself. The numberÂ is
(A) 110Â Â Â Â Â Â
(B) 125Â Â Â Â
(C) 200Â Â Â Â Â Â
(D)Â 300
Â
4.Â The next term in the sequenceÂ
Â Â Â 4, 5, 5, 5, 6, 5, 7 â€¦â€¦â€¦â€¦
(A) 5Â Â Â Â Â
(B) 6Â Â Â Â
(C) 7Â Â Â Â Â Â
(D)Â 8
Â
5.Â Which number in the following sequence is incorrectÂ ?
Â Â Â 1, 4, 13, 40, 122, 364
(A) 13Â Â Â Â Â Â
(B) 40Â Â Â Â Â Â Â
(C) 122Â Â Â Â Â
(D)Â 364
Â
6.Â In a college union election for the post of General Secretary, Surupa secured 60% of the total votes and defeated Ananya by a margin of 60 votes in a direct contest. Total number of valid votesÂ was
(A) 120Â Â Â Â Â Â
(B) 150Â Â Â Â Â Â Â
(C) 300Â Â Â Â Â
(D)Â 360
Â
7.Â Pinku babu purchased 4 baskets of mango containing 15, 18, 21 and 22 fruits. He kept the entire content of one of the baskets for his own family, and distributed the remaining mangoes equally among five of his friends living nearby. Number of mangoes in the basket he kept for his own familyÂ was
(A) 15Â Â Â Â Â
(B) 18Â Â Â Â Â Â Â
(C) 21Â Â Â Â Â
(D)Â 22
Â
8.Â 69 biscuits were distributed among 27 students in a class. If each boy got 2 biscuits and each girl 3, how many girls were there in the classÂ ?
(A) 23Â Â Â Â Â
(B) 19Â Â Â Â Â Â
(C) 15Â Â Â Â Â
(D)Â 12
Â
9.Â The next term in the series
Â Â Â 1, 2, 6, 15, 31, ____Â Â
(A) 47Â Â Â Â
(B) 50Â Â Â Â Â Â
(C) 56Â Â Â Â Â
(D)Â 63
Â
10.Â Bidisha gets from her father Rs.50 every 30th day of a month and Rs.100 every 31st day. During 2008, she gets from her father a total ofÂ Rs.
(A) 900Â Â Â Â Â
(B) 950Â Â Â Â Â
(C) 1250Â Â Â Â Â Â Â
(D)Â 1300
Â
Â
Answer
1

2

3

4

5

6

7

8

9

10

D

D

B

A

C

C

C

C

C

C

Â
Â
Video Explanation
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