WBCS Exam Main Compulsory Question Paper VI – 2015 [ Arithmetic and Test of Reasoning ]
1. Five bells tolled together and since then they began to toll at intervals , and sees. They will again toll together after
(A) 3 minutes (B) 4 minutes (C) 5 minutes (D) 6 minutes
2. 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 cistern may be filled in 10 minutes more will be
(A) 8 minutes (B) 9 minutes (C) 10 minutes (D) 12 minutes
3. B starts from the same place 3 hours after A who runs 4 km. an hour. If B runs km. an hour distance at which B will overtake A will be
(A) 40 Km. (B) 44 Km. (C) 48 Km. (D) 52 Km.
4. The boys of a school can be arranged in 15, 18 or 24 equal rows and also into a perfect square. The least number of boys in the school is
(A) 900 (B) 1600 (C) 2500 (D) 3600
5. In an examination full marks is 1000 – A gets 20% more marks than B and B gets 25% more marks than C. If C gets 500 marks, percentage of marks that A gets is
(A) 50% (B) 60% (C) 75% (D) 80%
6. No of Zeros in the product of natural numbers from 1 to 10 will be
(A) 4 (B) 3 (C) 2 (D) 1
7. A Seller sold an article with 20% loss. If he sold the article with Rs. 200 more he would have a profit of 5%. Cost price of the article was
(A) Rs.600 (B) Rs. 800 (C) Rs. 1000 (D) Rs. 1200
8. A can do a work in 24 days. If B’s efficiency is 60% more than A, B can do the whole work in
(A) 12 Days (B) 15 Days (C) 18 Days (D) 20 Days
9. Speeds of a motorbike and a scooter are in the ratio 7 : 4. If the motor bike takes 4 hours to go 140 km., time taken by the scooter to go 60 km. is
(A) 2hrs. (B) hrs. (C) 3 hrs. (D) hrs.
10. One dozen of bananas were available in a particular price. At present only 10 bananas are available in that price. Increase in price is
(A) 20% (B) 15% (C) 10% (D) 5%
11. A, B, C can do a piece of work in 20, 30 and 60 days respectively. If A is assisted by B and C on every third day the work will be finished in
(A) 10 days (B) 15 days (C) 18 days (D) 20 days
12. Price of a new machine is Rs. 36,000. If its price is reduced by 10% every year, after two years price of the machine will be
(A) Rs. 22,450 (B) Rs. 25,640 (C) Rs. 28,760 (D) Rs. 29,160
13. A some of money amounts double in 12 years 6 months. It will amount thrice in
(A) 18 years (B) 20 years (C) 25 years (D) 27 years
14. In examination 65% passed in Bengali, 55% passed in Mathematics and 40% passed in both subjects. If 40 examinees failed in both subjects number of examinees was
(A) 160 (B) 200 (C) 240 (D) 280
15. Two trains start at the same instant, one from Kolkata to Modhupur and other from Modhupur to Kolkata. If they arrive Modhupur and Kolkata respectively 1 hr. and 4 hrs. after they pass each other, ratio of the speed of the two trains are
(A) 2 : 1 (B) 3 : 2 (C) 4 : 1 (D) 4 : 3
16. A train can go from Burdwan to Howrah in 6 hours and another train can go from Howrah to Burdwan in 4 hours. Both of them start at 7 A.M. They will meet at
(A) 9-15 A.M. (B) 9-22 A.M. (C) 9-24 A.M. (D) 9-25 A.M.
17. A man spends in 4 months what he earns in 3 months. If his annual savings is Rs. 45,000 his monthly income is
(A) Rs. 15,000 (B) Rs. 18,000 (C) Rs. 20,000 (D) Rs. 22,000
18. A man and a boy can do a piece of work in 36 days. If the man works alone for last 10 days, the work is completed in 40 days. The boy alone can do the whole work in
(A) 70 days (B) 80 days (C) 90 days (D) 100 days
19. An article was sold for Rs. 9,000 at a profit of 12.5%. Had it been sold for Rs. 7600 the result would be
(A) 4% profit (B) 4% loss (C) 5% profit (D) 5% loss
20. A and B enter into partnership with Rs. 30,000 and Rs. 50,000 respectively. After 6 months A puts Rs. 40,000 more but B withdraws Rs. 10,000. If the profit in one year is Rs. 6175 profit of A is
(A) Rs. 3000 (B) Rs. 3150 (C) Rs. 3200 (D) Rs. 3250
21. The ratio in which two types of tea one Rs. 300 per kg. and other Rs. 175 per kg. be mixed and sold for Rs. 250 per kg. to make a profit of 25% is
(A) 1 : 2 (B) 1 : 4 (C) 2 : 3 (D) 2 : 5
22. When a stove is sold for Rs. 423 there is a loss of 6%. To make a profit of 8% sale price of the stove will be
(A) Rs. 482 (B) Rs. 484 (C) Rs. 486 (D) Rs. 488
23. Purchasing 8 fruits in Rs. 6 if 6 fruits are sold in Rs. 8 profit will be
(A) % (B) % (C) % (D) %
24. If 12 men can do a work in 30 days working 9 hours a day then number of men who can do 10 times of the work in 24 days working 5 hours a day is
(A) 180 (B) 270 (C) 330 (D) 360
25. A man divided Rs. 75,000 among his 4 sons and 3 daughters. So that each son got as much as three daughters together got. Each son got
(A) Rs. 7,500 (B) Rs. 10,000 (C) Rs. 12,500 (D) Rs. 15,000
26. The value of is
(A) 998988 (B) 998992 (C) 998996 (D) 998998
27. Sum of and is m times the difference between and . The value of m is
(A) 6 (B) 7 (C) 8 (D) 9
28. Simplest value of is
(A) (B) (C) (D)
29. The least number of five digits which is multiple of 319 is
(A) 10,111 (B) 10,208 (C) 10,319 (D) 10,357
30. A man purchased an article. He then sold the article with Rs. 96 and made a profit. If the percentage of profit is as much as cost price, Cost price of the article is
(A) Rs.60 (B) Rs. 50 (C) Rs. 40 (D) Rs. 30
31. A man drew Rs. 590 from a bank. He got 5 rupees notes and 10 rupees notes. Total number of notes was 70. Number of 10 rupees notes was
(A) 40 (B) 44 (C) 48 (D) 52