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Wednesday 9 November 2011

TCS



Pattern
TCS pattern consits of 3 rounds.
1) Online aptitude test.
2) Technical Interview
3) HR Inteview

                                             TCS PAPER PATTERN

Pattern 1:

 Q) (1/2) of a number is 3 more than the (1/6) of the same number? a) 6 b)7 c)8 d)9

Sol: Let the number be x, ((1/2)*x)=3+(1/6)*x, Then solve x

Q) (1/3) of a number is 3 more than the (1/6) of the same number? a) 6 b)16 c)18 d)21

Q) (1/3) of a number is 6 more than the (1/6) of the same number? a) 6 b)18 c)36 d)24

Q) (2/3) of a number is 4 more than the (1/6) of the same number? a) 6 b)8 c)36 d)24

Q) (1/3) of a number is 5 more than the (1/6) of the same number? a) 6 b)36 c)30 d)72

Pattern 2: 
Q)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

Sol: Given that B fills up at the rate 10,20,40 etc... This is a geometric progression where a = 10 r = 2 so after 21 hrs lts in B = a*r21 = 10 * 221 This is equal to 1/32 volume of B SO TOTAL VOLUME OF B = 32 * 10 * 221 which is =10 * 226 So hrs required to fill up B is 26

Or

for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours, Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours So answer is 26 hours.

Q)There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160…... If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely? a) 9 B)8 c)7 d)6

Q)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. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully? a) 26 B)25 c)5 d)27

Q)A tank is filled with water. In first hour 10 liters, second hours 20 liters, and third hour 40 liters and so on…If time taken to fill ¼ of the tank if 5 hours. What is the time taken to fill up the tank? a) 5 B)8 c)7 d)12.5

Q)If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19 hours then, what is the time taken to fill up the tank completely? a) 21 B)38 c)57 d)76

Pattern 3: 
Q)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

Sol: a+b+c+d+e+f+ Z = 45*7 =315 a+b+c+d+e+f+ 12 = 43*6 = 258 therefore : a+b+c+d+e+f = 246 so age of seventh person "Z" is = 315 - 246 = 69

Q)In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all? a) 43 b)45 c)47 d)49

Sol: Avg 4 yrs ago = 45 so avg now = 49 a person of age 49 is added so avg remains 49

Q)In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What‟s the age of 6th person? a) 25 b)20 c)45 d)30

Sol: After 5 years average age becums 50 Total age = 250 new member joins suppose age x so (250 + x) / 6 = 45 x = 20

Q)In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all? a) 55 b)54.5 c)54.6 d)54.7

Sol: After 2 years average age becomes 57

Total age=228

New member joins, his age is 45

So, (228 + 45)/6 = 54.6 ans

Pattern 4: 
Q)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 Sol: There are some readers such that in each

occupied reading spot there are different numbers of

readers.

1+2+3+4+5+6+7+8= 36 readers

so ,8 spots have different readers.

remainings are 23-8= 15.

15 spots are empty.

Or

he just said that in each different spot there are different

number of readers. So there will be many possibilities...

It is same as number of ways in which you can make a sum of

9 using only digits from 1 to 9 each at most once...

Consider

1+2+3+6+7+8+9 = 36

In this case answer is: 23-7 = 16

but different answers are possible depending on case u choose

Q)In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person? a) 8 b)6 c)2 d)7 Q)In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank? a) 8 b)6 c)2 d)7 Sol: 10 tables, each with 4 chairs

Each table has a different number of persons sitting....This is not possible as there are only 4 chairs.. The different combinations can be 0, 1, 2, 3 and 4...the sixth table would have one of the above combinations..Thus the rule is violated.. Plus, if different numbers of people occupy a table, there would be blank spaces...so how can we calculate the possibilities of the library being fulling occupied.. This is an ambiguous question! Pattern 5: Q)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

Sol: Average speed=2*x*y/(x+y)=2*6*4/(6+4)=4.8 kmph

Q)A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey? a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

Q)A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come down by 9 mph. what was his average speed? a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

Q)Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m? a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

Q)Person travels to a hill, if he goes from A to B with speed of 4kmph and returns back to B with speed of 5kmph. What is his average speed of journey? a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

Q)A man travels from A to B at 70 mph over a certain journey and returns over the same route to A, at 80 mph. What is his average speed for the journey? a) 74.66 b)75 c)74.33 d)74.99

Q)Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. a) 28.8 b)28 c)27 d)28.6

                 Click here to download TCS papers