Sonata Sample Aptitude Placement Paper

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Sonata Aptitude Latest Sample Placement Paper

1. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?

ANS: 991

2. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

ANS: 1590

3. The dog and here are running, dog crosses the roads, rivers and different. Here start running after 2 hours of dog running, dog runs 30kmph in 6 hours then what is the average speed of here?

ANS: 30*6/4

4. If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?

ANS: 25% profit.

5. Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

ANS: Second liquid in first bowl is smaller than the first mixture in second bowl.

6. The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is

ANS:30m



7. Probability to find digits which not contain 7 between 100 to 999

ANS: 18/25

8. Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?

ANS:357

9. There are 3 societies A, B, C. A lent car to B and C as many as they had Already. After some time B gave as many tractors to A and C as many as they have. After sometime c did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had. 1. A had 21 cars, B had 39 cars & C had 12 cars 2. A had 39 cars, B had 39 cars & C had 12 cars 3. A had 39 cars, B had 21 cars & C had 19 cars 4. A had 39 cars, B had 21 cars & C had 12 cars

ANS: 4.

10. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs.150. What is the share of Kim?

ANS:Rs 60

11. At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o clock.

ANS: 66 sec.

12. A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is

ANS:1



13. Fifty minutes ago if it was four times as many minutes past three o'clock, how many minutes is it to six o'clock?

ANS: Twenty six minutes.

14. A, B and C play cricket. A's runs are to B's runs and B's runs are to C's as 3:2. They get altogether 342 runs. How many runs did A make?

ANS:162

15. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?

ANS: The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus for one interval time taken=7/6. Therefore, for 10 seconds there are 9 intervals and time taken is 9*7/6=10 and 1/2 seconds.

16. A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time that the clock will show exactly 14 days from the time it was set right?

ANS:1:40:48

17. Every day in his business a merchant had to weigh amounts from 1 kg to 121 kgs, to the nearest kg. What is the minimum number of weight required and how heavy should they be?

ANS: The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

18. A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.

ANS:62km\h

19. A hotel has 10 stores. Which floor is above the floor below the floor, below the floor above the floor, below the floor above the fifth?



ANS: The sixth floor.

20. Three math classes: X, Y, and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all students in classes Y and Z together is 81. What is the average for all the three classes?

ANS:81.5

21. Seven members sat around a table for three days for a conference. The member's names were Abhishek, Amol, Ankur, Anurag, Bhuwan, Vasu and Vikram. The meetings were chaired by Vikram. On the first evening members sat around the table alphabetically. On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as possible and abesent minded Vasu as far away as he could. On no evening did any person have sitting next to him a person who had previously been his neighbor. How did Vikram manage to seat everybody to the best advantage on the second and third evenings?

ANS: Second evening: Vikram, Ankur, Abhishek, Amol, Vasu, Anurag and Bhuwan. Third evening :Vikram, Anurag, Abhishek, Vasu, Bhuwan, Ankur, Amol

22. A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?

ANS: 2

23. Two trains start from stations A and B spaced 50 kms apart at the same time and speed. As the trains start, a bird flies from one train towards the other and on reaching the second train; it flies back to the first train. This is repeated till the trains collide. If the speed of the



trains is 25 km/h and that of the bird is 100km/h. How much did the bird travel till the collision?

ANS: 100 kms.

24.Simplify the following (578291*578291-457428*457428)/120863

ANS: 1035719

25. Supposing a clock takes 7 seconds to strike 7. How mlong will it take to strike 10?

ANS: 10 1/2 seconds.

26.Find the value of ((598+194)2-(598-194)2)/(598*194)

ANS: 4

27. A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke?

ANS: 8+1=9

Directions for Questions28-30: Find the next terms for the following question.

28.2, 5, 10, 17, 26,37, ___

ANS:50

29.2,5,10,17,26, ___

ANS:37

30.5, 13, 37, 109, ___

ANS:235

31. How can 1000000000 be written as a product of two factors neither of them containing zeros

ANS: 2 power 9 x 5 power 9



32. A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 10 inches and equal to the volume of the rectangular plate?

ANS: 2.24 inches.

33. Light glows for every 13 seconds. How many times did it glow between 1:57:58 and 3:20:47 am?

ANS: 383 + 1 = 384

34. 500 men are arranged in an array of 10 rows and 50 columns according to their heights. Tallest among each row of all are asked to fall out. And the shortest among them is A. Similarly after resuming that to their original positions that the shortest among each column are asked to fall out. And the tallest among them is B. Now who is taller among A and B?

ANS: A

35. A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/- .How much did he have with him in the beginning?

ANS: Rs 250/-

36. In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit.

ANS:Rs. 10200, Rs. 10400, Rs. 7800

37. Next number in the series is 1, 2, 4, 13, 31, 112, ?

ANS: 224.

38. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours



respectively after passing each other. How much faster is one train from other?

ANS: Twice

39. A chain is broken into three pieces of equal lengths containing 3 links each. It is taken to a blacksmith to join into a single continuous one .How many links are to to be opened to make it?

ANS: 2.

40. From a vessel, 1/3rd of the liquid evaporates on the first day. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of the second day.

ANS: 50%

Sonata Sample Aptitude Placement Paper

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