TCS: Placement Questions – 1

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1. 1.(1/2) of a number is 3 more than the (1/6) of the same number? a) 6 b)7 c)8 d)9
2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely? a) 26 B)25 c)5 d)27 
3. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person? a) 43 b)69 c)52 d)31 
4. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader? a)8 b)none c)16 d)15 
5. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph
6. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? a) 114 b) 135 c) 21 d) 71
7. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings? a)16 b)56 c)112 d)28 
8.  A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces four consecutive music tones of the same type? a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32 
9.  A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope? a)280.5625 b)240.5625 c)280.125 d)240 
10. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear? a)white b)black c)gray d)brown
11. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces? a)153 b)152 c)154 d)155 
12. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month? a) $27 b)$ 18 c)$45 d)$ 486 
13.  A Person buys a horse for 15 pounds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person? 
14. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper? a)loss 23 b)gain 23 c)gain 54 d)Loss 54 
15. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a)50 b)8 c)60 d)42 
16. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family? a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girls 
17. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played? a)257 b)256 c)72 d)255 
18. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible? a)4 b)5 c)6 d)7
19. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter? a)8 b)20 c)16 d)15 
20. The age of the two friends were in the ratio of 6:5.If the sum of their ages is 55.Then after how many years their ratio will become 8:7? a)11 b)7 c)10 d)12 
21. A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony? a)46.4 b)51 c)53.4 d)48.6 
22. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b)21.25 c)12.25 d)14.05
23. A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is? a)North b)South c)East d)West
24. In T.Nagar the building were numbered from 1 to 100.Then how many 1’s will be present in the numbers? a)18 b)19 c)20 d)21 
25. A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D? 13 b) cannot be determined c) 3 d) 42
26. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan’s old Mercedes. If the speed of Mohan’s Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance. 20.72 b) 5.18 c) 238.25 d) 6.18 
27. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ‘ At least n of the statements on this sheet are false. ‘Which statements are true and which are false? a) The even numbered statements are true and the odd numbered are false. b) The odd numbered statements are true and the even numbered are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false. 
28. If a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 ratio if the final mixture is 35 liters, find the amount of b? A) 13.34 b) 15.73 c) 16.73 d) 9.45 
29. If we subtract a number with y, we get 4 increase of number, once it got divided by y itself… Find that number?? A) 13 b) 12 c) 14 d) 11 
30. If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall on 2010? A) Saturday b) Thursday c) Wednesday d) Sunday 
31. A person run from A to B.He took ¼ of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed? a)40 b)44.4 c)33.3 d)22.2 
32. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.? a)78 b)56 c)66 d)59 
33. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed? a)57 b)56 c)59 d)58 
34. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblers b) There is more coffee in the firs tumbler than water in the second tumbler c) There is as much coffee in the first tumbler as there is water in the second tumbler d)None of the statements holds true