TCS Latest Questions placement paper 2013

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1.If 3y+x>2 and x+2y≤3, what can be said about the value of y?
a)y=-1              b)y>-1              c)y<-1              d)y=1

2.If m is an odd integer and n an even integer, which of the following is definitely odd?
a)(2m+n)(m-n)                        b)(m+n2)+(m-n2)          c)m2+mn+n2                d)m+n

3.If the price of an item is decreased by 10% and then increased by 10%, the net effect on the price of the item is:
a)A decrease of 99%               b)no change                c)a decrease of 1%     d) an increase of 1%

4. what is the sum of all even integers between 99 and 301?
a)40000           b)20000           c)40400           d)20200

5.There are 20 balls which are red,blue or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?
a)4                   b)5                   c)6                   d)7

6.If n is the sum of two consecutive odd integers and less than 100, what is the greatest possibility of n?
a)98                 b)94                 c)96                 d)99

7.x2<1/100, and x<0. What is the tightest range in which x can lie? 
a)-1/10<x<0    b)-1<x<0          c)-1/10<x<1/10           d)-1/10<x

8.There are 4 boxes colored red, yellow, green and blue. If 2 boxes are selected, how many combinations are there for atleast one green box or one red box to be selected?
a)1                   b)6                   c)9                   d)5

9.All faces of a cube with an eight-meter edge are painted red. If the cube is cut into smaller cubes with a two meter edge, how many of the two-meter cubes have paint on exactly one face?
a)24                 b)36                 c)60                 d)48

10.In a sequence of integers, A(n)=A(n-1)-A(n-2), where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1.  Calculate S(1000), where S(1000) is the sum of the first 1000 terms.
a)2                   b)3                   c)4                   d)0

11.If  x2-16>0,which of the following must be true?
a)-4>x>4          b)-4>x<4          c)-4<x<4          d)4<x

12.Two cyclists begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 mins. The novice takes 6 mins to complete each lap. How many minutes after the start will both cyclists pass at exactly the same spot where they began to cycle?
a)10                 b)8                   c)14                 d)12

13.M,N,O and P are all different individuals; M is the daughter of N; N is the son of O; O is the father of P; Among the following statements, which one is true?
a) M is the daughter of P
b)If B is the daughter of N, then M and B are sisters.
c) if C the granddaughter of O, then C and M are sisters.
d) P and N are brothers


E               C



In the above diagram, ABCD and EFGH are squares of side 1 unit such that they intersect in a square of diagonal length(CE)=1/2. The total area covered by the squares is
a)      Cannot be found from the information
b)      1 ½ 

 15. There are 10 stepping stones numbered 1 to 10 as shown at
the side. A fly jumps from the first stones as follows:
every minute it jumps to the 4th stone from where it started- that is
from 1st  it would go to 5th and from 5th it would go th 9th and from 9th
it would go to 3rd etc. where would the fly be at the 60th min if it
starts at 1?

16.What  is the  remainder when 617+176 is divisible by 7?
a)1                   b)6                   c)0                   d)3

17.In base 7, a number is written only using the digits 0,1…..6. the number 135 in base 7 is 1*72+3*7+5=75 in base 10. What is the sum of the base 7 numbers 1234 and 6543 in base 7?
a)11101           b)11110           c)10111           d)11011

18.The sequence {An} is defined by A1=2 and An+1=An+2n. what is the value of A100.
a)9902             b)9900             c)10100           d)9904

19.Find the number of rectangles  in the figure given below.(a square is also considered a rectangle)

20.A,B,C and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. when B stands, C also climbs on , and the machine shows 130 kg. similarly the weight of C and D is found as 102kg and that of B and D is 116 kg. what is D’s weight?
a)58kg             b)78kg             c)44kg

21.Roy is now 4 years older than Erik  and half of that amount older than Iris. If in 2 yrs,Roy will be twice as old as Erik, then in 2 yrs what would be Roy’s age multiplied by Iris’s age?
a)28                 b)48                 c)50                 d)52

22.X,Y,Z and W are integers. The expression X-Y-Z is even and the expression Y-Z-W is odd. If X is even what must be true?
a)W must be odd        b)Y-Z must be odd       c)W must be odd         d)Z must be odd

23.Given the following information, which option must be true?
a) A occurs only if either B or C occurs.
b)B occurs only if both D and E occur.
c)F occurs only if C does not occur.
d)G occurs only if both A and F occur

24.Mr and Mrs Smith have invited 9 of their friends and their spouses for a party at the Waikiki beach resort. They stand for a group photograph. If Mr Smith never stands next to Mrs Smith(as he says they are always together otherwise), how many ways the group can be arranged in a row for the photograph?
a)20!                b)19!+18!        c)18*19!          d) 2*19!

25.Tim and Elan are 90 km away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 kmph and Elan at a speed of 5 kmph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Elan?
a)45km            b)60km            c)30                 d)80km

26.In a rectangular coordinates system, what is the area of a triangle whose verstices have the coordinates (4,0),(6,3) and (6,-3)?
a)6                   b)7             c)7.5          d)6.5

27.A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?
a)1/2               b)1/8               c)1/4                d)3/8

28.In how many ways can we distribute 10 identical looking pencils to 4 students so that each student gets at least one pencil?
a)5040             b)210               c)84                 d)none of these

29.The prime factorization of integer N is A*A*B*C, where A,B and C are all distinct prime integers. How many factors does N have?
a)12                 b)24                 c)4                   d)6

30.N is an integer and N>2, at most how many integers among N+2, N+3,N+4,N+5,N+6 and N+7 are prime integers?
a)1                   b)3                   c)2                   d)4

31.A turtle is crossing a field. What is the total distance(in metres) passed by the turtle? Consider the following two statements.
(X) the average speed of the turtle is 2 metres per minute.
(Y) had the turtle walked 1 metre per sec faster than his average speed it would have finished 40 min earlier.
i)statement X alone is enough to get the answer.
ii)both statements X and Y are needed to get the answer.
iii)statement Y alone is enough to get the answer.

32.Given the following information, who is the youngest?
C is younger than A; A is taller than B
C is older than B;  C is younger than D
B is taller than C; A is older than D
a)D                  b)B                   c)C                   d)A

33.Given the information, which option must betrue?
i)A occurs only if either B or C occur.
ii)B occurs only if both D and E occur.
iii) F occurs only if C does not occur.
iv) G occurs only if both A and F occur
a)A occurs whenever F occurs.
b)F never occurs
c)G does not occur if D does not occur
d) none of these

34.If P(x)=ax4+bx3+cx2+dx+e has roots at x=1,2,3,and 4, and P(0)=48, what is P(5)?
a)48                 b)24                 c)0                   d)50

35.How many workers does factory W employ? Consider the following two statements to get the answer.
(X) 220 workers at W install batteries, and 300 workers knit socks.
(Y) every worker of W either installs batteries or knits socks, or both.
i)statement X alone is enough to get the answer.
ii)statements X and Y are together not enough to get the answer, and additional data ia needed.
iii)statement Y alone is sufficient to get the answer
iv)both statements X and Y are needed to get the answer

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