A ship started from port and moving with I mph and another ship started from L and moving with
H mph. At which place these two ships meet ?

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

Two towers of height 30m and 38m are built at a distance of 15m. The distance between the tops of two towers is? I NEED COMPLETE SOLUTION PLS HELP ME


a)17m b)16m c)15m

If f(x) = 2x+2 what is f(f(3))?
PLEASE GIVE ANSWER

verbal-85.61
quant-37.56
ps-77.48

is there any chance of getting a call??
please suggest..

Quant 82
PS 91.5
Verb 72
is there any chances to get call ????

Rakesh, is it enough to practice 1st 20 pages of m4maths (each consists of 30 questions)thoroughly as we just have one week left for preparation?

plz suggest the right answer

A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but
she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a
message to him. If each call takes 2 minutes to complete, and every call is answered, what is
the minimum amount of time in which she can guarantee to deliver the message to Mr.
Sharma.

hey..My elitmus mrks is
quant 90.58
verbal 72.75
ps 63.67
wll i get a call or shld i try again.?

Thanks Rakesh bhai for solving this:
How many 8 digits numbers can be formed with repetition by using 1,2,3,4,5 which are divisible by 4?

My idis sharmaakanksha37@gmail.com

Plz after attending theTcs campus drive share the appti quns and also interview experience As soon as possible thanx in advance

ok thanx rakesh..one more suggestion i want,i just have 1week left for preparations so wat topics should i concentrate on and plz temme something about verbal part (email writing)

Hey, If You have TCS placement papers Please Send them To arnavyagnik@gmail.com
Urgent Please.
Thankyou.

plzzz any1 send me previous 5 yrs (2009-2013) question with solution of tcs at shreyaarya1005@gmail.com

george does 3/4th of a work in 9 days.He then calls paul and they finish the work in 4 days. how long would paul take to do work himself? plz answer both the questions

A man goes upstream for a distance of 10 km in 5 hours. Another man goes the same distance downstream in 3 hours.What is the difference of the two speeds of the men if the river speed is 0.5kmph ? ( round to nearest decimals)

TCS Confidential
Note: These are not sample questions, but questions that explore some of the concepts that may
be used. The intention is that you should get prepared with the concepts rather than just focusing
on a set of questions.
-----------------------------------------------------------------------------------
1. What are the total number of divisors of 600(including 1 and 600)?
a) 24
b) 40
c) 16
d) 20
2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a) 2870
b) 2000
c) 5650
d) 44100
3. What is where is the number of ways of choosing k items from 28
items?
a) 406 * 2
27
b) 306 * 2
26
c) 28 * 2
27
d) 56 * 2
27
4. What is where is the number of ways of choosing k items from 28
items?
a) 2
56
b) 3 * 2
27
c) 3
29
d) 3 *4
27
5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but
she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a
message to him. If each call takes 2 minutes to complete, and every call is answered, what is
the minimum amount of time in which she can guarantee to deliver the message to Mr.
Sharma.
a) 18 minutes
b) 610 minutes
c) 206 minutes
d) 34 minutes
TCS Confidential
6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a) 4 minutes
b) 7 minutes
c) 1 minutes
d) 5 minutes
7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the median time per call?
a) 5 minutes
b) 7 minutes
c) 1 minutes
d) 4 minutes
8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and
her score is the square of the value shown. What is the probability that Sandra’s score will be
strictly higher than Eric’s score?
a) 137/216
b) 17/36
c) 173/216
d) 5/6
9. What is the largest integer that divides all three numbers 23400,272304,205248 without
leaving a remainder?
a) 48
b) 24
c) 96
d) 72
10. Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither
like chocolate nor like cricket. How many people like both cricket and chocolate?
a) 7
b) 10
c) 15
d) 18
11. If f(x) = 2x+2 what is f(f(3))?
a) 18
b) 8
c) 64
d) 16
TCS Confidential
12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)?
a) (x-12)/7
b) 7x+12
c) 1/(7x+12)
d) No inverse exists
13. A permutation is often represented by the cycles it has. For example, if we permute the
numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132)
says that the first number has gone to the position 3, the third number has gone to the
position 2, and the second number has gone to position 1, and (5 4) means that the fifth
number has gone to position 4 and the fourth number has gone to position 5. The numbers
with brackets are to be read cyclically.
If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented
as (1345)(2).
We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1
5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times
must it be applied before the numbers appear in their original order)?
a) 12
b) 7
c) 7! (factorial of 7)
d) 14
14. What is the maximum value of x3y3 + 3 x*y when x+y = 8?
a) 4144
b) 256
c) 8192
d) 102
15. Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The
distance BC in cms is?
a) 60
b) 62
c) 68
d) 64
TCS Confidential
16. In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table
3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha,
Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which
table are determined by the following constraints?
a) Chitra does not sit at the same table as Govind.
b) Eesha does not sit at the same table as David.
c) Farooq does not sit at the same table as Chitra.
d) Akash does not sit at the same table as Babu.
e) Govind does not sit at the same table as Farooq.
Which of the following is a list of people who could sit together at table 2?
a) Govind, Eesha, Akash
b) Babu, Farooq, Chitra
c) Chitra, Govind, David.
d) Farooq, David, Eesha.
17. There are a number of chocolates in a bag. If they were to be equally divided among 14
children, there are 10 chocolates left. If they were to be equally divided among 15 children,
there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are
added to the bag. What is the remainder when the minimum feasible number of chocolates in
the bag is divided by 9?
a) 2
b) 5
c) 4
d) 6
18. Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the
minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values
of m and n)?
a) 9
b) 6
c) 5
d) 18
19. What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
a) 257
b) 905
c) 351
d) 498
TCS Confidential
20. We have an equal arms two pan balance and need to weigh objects with integral weights in
the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in
any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other
pan. The minimum number of standard weights required is:
a) 4
b) 10
c) 5
d) 6
21. A white cube(with six faces) is painted red on two different faces. How many different ways
can this be done (two paintings are considered same if on a suitable rotation of the cube one
painting can be carried to the other)?
a) 2
b) 15
c) 4
d) 30
22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
a) 15
b) 16
c) 31
d) 10
23. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the
sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n
times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27
24. In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.
If 3 + sqrt(7) is a root, which of the following must be also a root?(Note that x ^n denotes the x
raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of
u, or the number which when multiplied by itself, gives the number u)?
a) 3-sqrt(7)
b) 3+sqrt(21)
c) 5
d) sqrt(7) + sqrt(3)
25. If 3*y+x>2 and x+2*y -1
b) y = -1
c) y < -1
d) y = 1
TCS Confidential
26. If m is an odd integer and n an even integer, which of the following is definitely odd?
a) m+n
b) (2m+n) (m-n)
c) m^2 +m*n + n^2
d) (m+n^2)+ (m-n^2)
27. 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 1%
b) No change
c) An increase of 1%
d) A decrease of 99%
28. What is the sum of all even integers between 99 and 301?
a) 20200
b) 20000
c) 40400
d) 40000
29. 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) 5
b) 6
c) 7
d) 4
30. If n is the sum of two consecutive odd integers and less than 100, wha t is the greatest
possibility of n?
a) 96
b) 99
c) 98
d) 94
31. x^2 < 1/100, and x< 0. What is the tightest range in which x can lie?
a) -1/10 < x < 0
b) -1/10 < x
c) -1/10 < x=3, A(1)=1,A(2)=1 . Calculate S(1000), where S(1000) is the sum of the first
1000 terms
a) 1
b) -1
c) 2
d) 0
35. If x^2- 16 > 0, which of the following must be true?
a) -4 > x or x > 4
b) -4 < x < 4
c) x < 4
d) 4 < x
36. Two cyclists begin training on an oval racecourse at the same time. The professional cyclist
completes each lap in 4 minutes; the novice takes 6 minutes 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) 12
b) 8
c) 10
d) 14
37. 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) If B is the daughter of N, then M and B are sisters
b) P and N are brothers
c) M is the daughter of P
d) If C is the granddaughter of O, then C and M are sisters.
38. What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?
a) 0
b) 1
c) 3
d) 6
TCS Confidential
39. In base 7, a number is written only using the digits 0,1,...6. The number 21 in base 7 is equal
to 2*7+1 =15 in base 10. Similarly the number 135 in base 7 is 1 x 7^2 + 3 x 7 + 5 = 75 in base
10. What is the sum of the base 7 numbers 1234 and 6543 in base 7?
a) 11110
b) 11011
c) 10111
d) 11101
40. Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine they try to find
their weights. When Akhilesh stands on the machine, without his knowledge Bernard also
climbs the machine and the weight shown was 132kg. When Bernard stands, without his
knowledge Catherine also stands on the machine and the machine shows 130 kg. Similarly the
weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg.
What is the weight of Dinesh?
a) 44 kg
b) 58 kg
c) 78 kg
d) Cannot be determined from the given information
41. Roy is now 4 years older than Erik and 2 years older than Iris. If in 2 years, Roy will be twice as
old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
a) 48
b) 28
c) 50
d) 52
42. 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 even.
d) Z must be odd
43. How many four-digit numbers that do not contain the digits 3 or 6 are there?
a) 3584
b) 4096
c) 5040
d) 7200
44. 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) 60 km
b) 30 km
c) 45 km
d) 80 km
TCS Confidential
45. In a rectangular coordinate system, what is the area of a triangle whose vertices have the
coordinates (4, 0), (6, 3), and (6, -3)?
a) 6
b) 7.5
c) 7
d) 6.5
46. 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
47. A gardener changed the size of his rectangle-shaped garden by increasing its length by 40%
and decreasing its width by 20%. The area of the new garden:
a) has increased by 12%
b) has increased by 20%
c) has increased by 8%
d) cannot be expressed in percentage terms without actual numbers
48. The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime
integers. How many factors does N have?
a) 12
b) 4
c) 6
d) 24
49. If 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) 2
b) 1
c) 3
d) 4
50. A turtle is crossing a field. What is the total distance (in meters) passed by the turtle ?
Consider the following two statements to get the answer.
(X) The average speed of the turtle is 2 meters per minute.
(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have
finished the same path 40 minutes earlier.
a) Both Statements X and Y are needed to get the answer
b) Statement X alone is enough to get the answer
c) Statement Y alone is enough to get the answer
d) Statements X and Y are together not enough to get the answer, and additional data is
needed
TCS Confidential
51. Given the following information, who is 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) B
b) A
c) C
d) D
52. Given the following information, which option must be true?
A occurs only if either B or C occurs.
B occurs only if both D and E occur.
F occurs only if C does not occur
G occurs only if both A and F occur
a) G does not occur if D does not occur
b) A occurs whenever F occurs
c) F never occurs
d) None of these
53. In how many ways can we distribute 10 identical looking pencils to 4 students so that each
student gets at least one pencil?
a) 84
b) 5040
c) 210
d) None of these
54. 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) 18 x 19 !
b) 20 !
c) 19 ! + 18 !
d) 2 x 19 !

TCS Confidential
Note: These are not sample questions, but questions that explore some of the concepts that may
be used. The intention is that you should get prepared with the concepts rather than just focusing
on a set of questions.
-----------------------------------------------------------------------------------
1. What are the total number of divisors of 600(including 1 and 600)?
a) 24
b) 40
c) 16
d) 20
2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a) 2870
b) 2000
c) 5650
d) 44100
3. What is where is the number of ways of choosing k items from 28
items?
a) 406 * 2
27
b) 306 * 2
26
c) 28 * 2
27
d) 56 * 2
27
4. What is where is the number of ways of choosing k items from 28
items?
a) 2
56
b) 3 * 2
27
c) 3
29
d) 3 *4
27
5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but
she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a
message to him. If each call takes 2 minutes to complete, and every call is answered, what is
the minimum amount of time in which she can guarantee to deliver the message to Mr.
Sharma.
a) 18 minutes
b) 610 minutes
c) 206 minutes
d) 34 minutes
TCS Confidential
6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a) 4 minutes
b) 7 minutes
c) 1 minutes
d) 5 minutes
7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the median time per call?
a) 5 minutes
b) 7 minutes
c) 1 minutes
d) 4 minutes
8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and
her score is the square of the value shown. What is the probability that Sandra’s score will be
strictly higher than Eric’s score?
a) 137/216
b) 17/36
c) 173/216
d) 5/6
9. What is the largest integer that divides all three numbers 23400,272304,205248 without
leaving a remainder?
a) 48
b) 24
c) 96
d) 72
10. Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither
like chocolate nor like cricket. How many people like both cricket and chocolate?
a) 7
b) 10
c) 15
d) 18
11. If f(x) = 2x+2 what is f(f(3))?
a) 18
b) 8
c) 64
d) 16
TCS Confidential
12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)?
a) (x-12)/7
b) 7x+12
c) 1/(7x+12)
d) No inverse exists
13. A permutation is often represented by the cycles it has. For example, if we permute the
numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132)
says that the first number has gone to the position 3, the third number has gone to the
position 2, and the second number has gone to position 1, and (5 4) means that the fifth
number has gone to position 4 and the fourth number has gone to position 5. The numbers
with brackets are to be read cyclically.
If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented
as (1345)(2).
We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1
5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times
must it be applied before the numbers appear in their original order)?
a) 12
b) 7
c) 7! (factorial of 7)
d) 14
14. What is the maximum value of x3y3 + 3 x*y when x+y = 8?
a) 4144
b) 256
c) 8192
d) 102
15. Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The
distance BC in cms is?
a) 60
b) 62
c) 68
d) 64
TCS Confidential
16. In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table
3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha,
Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which
table are determined by the following constraints?
a) Chitra does not sit at the same table as Govind.
b) Eesha does not sit at the same table as David.
c) Farooq does not sit at the same table as Chitra.
d) Akash does not sit at the same table as Babu.
e) Govind does not sit at the same table as Farooq.
Which of the following is a list of people who could sit together at table 2?
a) Govind, Eesha, Akash
b) Babu, Farooq, Chitra
c) Chitra, Govind, David.
d) Farooq, David, Eesha.
17. There are a number of chocolates in a bag. If they were to be equally divided among 14
children, there are 10 chocolates left. If they were to be equally divided among 15 children,
there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are
added to the bag. What is the remainder when the minimum feasible number of chocolates in
the bag is divided by 9?
a) 2
b) 5
c) 4
d) 6
18. Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the
minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values
of m and n)?
a) 9
b) 6
c) 5
d) 18
19. What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
a) 257
b) 905
c) 351
d) 498
TCS Confidential
20. We have an equal arms two pan balance and need to weigh objects with integral weights in
the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in
any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other
pan. The minimum number of standard weights required is:
a) 4
b) 10
c) 5
d) 6
21. A white cube(with six faces) is painted red on two different faces. How many different ways
can this be done (two paintings are considered same if on a suitable rotation of the cube one
painting can be carried to the other)?
a) 2
b) 15
c) 4
d) 30
22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
a) 15
b) 16
c) 31
d) 10
23. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the
sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n
times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27
24. In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.
If 3 + sqrt(7) is a root, which of the following must be also a root?(Note that x ^n denotes the x
raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of
u, or the number which when multiplied by itself, gives the number u)?
a) 3-sqrt(7)
b) 3+sqrt(21)
c) 5
d) sqrt(7) + sqrt(3)
25. If 3*y+x>2 and x+2*y -1
b) y = -1
c) y < -1
d) y = 1
TCS Confidential
26. If m is an odd integer and n an even integer, which of the following is definitely odd?
a) m+n
b) (2m+n) (m-n)
c) m^2 +m*n + n^2
d) (m+n^2)+ (m-n^2)
27. 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 1%
b) No change
c) An increase of 1%
d) A decrease of 99%
28. What is the sum of all even integers between 99 and 301?
a) 20200
b) 20000
c) 40400
d) 40000
29. 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) 5
b) 6
c) 7
d) 4
30. If n is the sum of two consecutive odd integers and less than 100, wha t is the greatest
possibility of n?
a) 96
b) 99
c) 98
d) 94
31. x^2 < 1/100, and x< 0. What is the tightest range in which x can lie?
a) -1/10 < x < 0
b) -1/10 < x
c) -1/10 < x=3, A(1)=1,A(2)=1 . Calculate S(1000), where S(1000) is the sum of the first
1000 terms
a) 1
b) -1
c) 2
d) 0
35. If x^2- 16 > 0, which of the following must be true?
a) -4 > x or x > 4
b) -4 < x < 4
c) x < 4
d) 4 < x
36. Two cyclists begin training on an oval racecourse at the same time. The professional cyclist
completes each lap in 4 minutes; the novice takes 6 minutes 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) 12
b) 8
c) 10
d) 14
37. 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) If B is the daughter of N, then M and B are sisters
b) P and N are brothers
c) M is the daughter of P
d) If C is the granddaughter of O, then C and M are sisters.
38. What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?
a) 0
b) 1
c) 3
d) 6
TCS Confidential
39. In base 7, a number is written only using the digits 0,1,...6. The number 21 in base 7 is equal
to 2*7+1 =15 in base 10. Similarly the number 135 in base 7 is 1 x 7^2 + 3 x 7 + 5 = 75 in base
10. What is the sum of the base 7 numbers 1234 and 6543 in base 7?
a) 11110
b) 11011
c) 10111
d) 11101
40. Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine they try to find
their weights. When Akhilesh stands on the machine, without his knowledge Bernard also
climbs the machine and the weight shown was 132kg. When Bernard stands, without his
knowledge Catherine also stands on the machine and the machine shows 130 kg. Similarly the
weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg.
What is the weight of Dinesh?
a) 44 kg
b) 58 kg
c) 78 kg
d) Cannot be determined from the given information
41. Roy is now 4 years older than Erik and 2 years older than Iris. If in 2 years, Roy will be twice as
old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
a) 48
b) 28
c) 50
d) 52
42. 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 even.
d) Z must be odd
43. How many four-digit numbers that do not contain the digits 3 or 6 are there?
a) 3584
b) 4096
c) 5040
d) 7200
44. 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) 60 km
b) 30 km
c) 45 km
d) 80 km
TCS Confidential
45. In a rectangular coordinate system, what is the area of a triangle whose vertices have the
coordinates (4, 0), (6, 3), and (6, -3)?
a) 6
b) 7.5
c) 7
d) 6.5
46. 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
47. A gardener changed the size of his rectangle-shaped garden by increasing its length by 40%
and decreasing its width by 20%. The area of the new garden:
a) has increased by 12%
b) has increased by 20%
c) has increased by 8%
d) cannot be expressed in percentage terms without actual numbers
48. The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime
integers. How many factors does N have?
a) 12
b) 4
c) 6
d) 24
49. If 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) 2
b) 1
c) 3
d) 4
50. A turtle is crossing a field. What is the total distance (in meters) passed by the turtle ?
Consider the following two statements to get the answer.
(X) The average speed of the turtle is 2 meters per minute.
(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have
finished the same path 40 minutes earlier.
a) Both Statements X and Y are needed to get the answer
b) Statement X alone is enough to get the answer
c) Statement Y alone is enough to get the answer
d) Statements X and Y are together not enough to get the answer, and additional data is
needed
TCS Confidential
51. Given the following information, who is 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) B
b) A
c) C
d) D
52. Given the following information, which option must be true?
A occurs only if either B or C occurs.
B occurs only if both D and E occur.
F occurs only if C does not occur
G occurs only if both A and F occur
a) G does not occur if D does not occur
b) A occurs whenever F occurs
c) F never occurs
d) None of these
53. In how many ways can we distribute 10 identical looking pencils to 4 students so that each
student gets at least one pencil?
a) 84
b) 5040
c) 210
d) None of these
54. 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) 18 x 19 !
b) 20 !
c) 19 ! + 18 !
d) 2 x 19 !

How many divisors (including 1, but excluding 1000) are there for the number 1000?

could you people please, send answers for these questions pls...? u have already answered till 24 ...try after 24th......
...

TCS Confidential
Note: These are not sample questions, but questions that explore some of the concepts that may
be used. The intention is that you should get prepared with the concepts rather than just focusing
on a set of questions.
-----------------------------------------------------------------------------------
1. What are the total number of divisors of 600(including 1 and 600)?
a) 24
b) 40
c) 16
d) 20
2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a) 2870
b) 2000
c) 5650
d) 44100
3. What is where is the number of ways of choosing k items from 28
items?
a) 406 * 2
27
b) 306 * 2
26
c) 28 * 2
27
d) 56 * 2
27
4. What is where is the number of ways of choosing k items from 28
items?
a) 2
56
b) 3 * 2
27
c) 3
29
d) 3 *4
27
5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but
she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a
message to him. If each call takes 2 minutes to complete, and every call is answered, what is
the minimum amount of time in which she can guarantee to deliver the message to Mr.
Sharma.
a) 18 minutes
b) 610 minutes
c) 206 minutes
d) 34 minutes
TCS Confidential
6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a) 4 minutes
b) 7 minutes
c) 1 minutes
d) 5 minutes
7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the median time per call?
a) 5 minutes
b) 7 minutes
c) 1 minutes
d) 4 minutes
8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and
her score is the square of the value shown. What is the probability that Sandra’s score will be
strictly higher than Eric’s score?
a) 137/216
b) 17/36
c) 173/216
d) 5/6
9. What is the largest integer that divides all three numbers 23400,272304,205248 without
leaving a remainder?
a) 48
b) 24
c) 96
d) 72
10. Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither
like chocolate nor like cricket. How many people like both cricket and chocolate?
a) 7
b) 10
c) 15
d) 18
11. If f(x) = 2x+2 what is f(f(3))?
a) 18
b) 8
c) 64
d) 16
TCS Confidential
12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)?
a) (x-12)/7
b) 7x+12
c) 1/(7x+12)
d) No inverse exists
13. A permutation is often represented by the cycles it has. For example, if we permute the
numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132)
says that the first number has gone to the position 3, the third number has gone to the
position 2, and the second number has gone to position 1, and (5 4) means that the fifth
number has gone to position 4 and the fourth number has gone to position 5. The numbers
with brackets are to be read cyclically.
If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented
as (1345)(2).
We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1
5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times
must it be applied before the numbers appear in their original order)?
a) 12
b) 7
c) 7! (factorial of 7)
d) 14
14. What is the maximum value of x3y3 + 3 x*y when x+y = 8?
a) 4144
b) 256
c) 8192
d) 102
15. Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The
distance BC in cms is?
a) 60
b) 62
c) 68
d) 64
TCS Confidential
16. In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table
3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha,
Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which
table are determined by the following constraints?
a) Chitra does not sit at the same table as Govind.
b) Eesha does not sit at the same table as David.
c) Farooq does not sit at the same table as Chitra.
d) Akash does not sit at the same table as Babu.
e) Govind does not sit at the same table as Farooq.
Which of the following is a list of people who could sit together at table 2?
a) Govind, Eesha, Akash
b) Babu, Farooq, Chitra
c) Chitra, Govind, David.
d) Farooq, David, Eesha.
17. There are a number of chocolates in a bag. If they were to be equally divided among 14
children, there are 10 chocolates left. If they were to be equally divided among 15 children,
there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are
added to the bag. What is the remainder when the minimum feasible number of chocolates in
the bag is divided by 9?
a) 2
b) 5
c) 4
d) 6
18. Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the
minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values
of m and n)?
a) 9
b) 6
c) 5
d) 18
19. What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
a) 257
b) 905
c) 351
d) 498
TCS Confidential
20. We have an equal arms two pan balance and need to weigh objects with integral weights in
the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in
any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other
pan. The minimum number of standard weights required is:
a) 4
b) 10
c) 5
d) 6
21. A white cube(with six faces) is painted red on two different faces. How many different ways
can this be done (two paintings are considered same if on a suitable rotation of the cube one
painting can be carried to the other)?
a) 2
b) 15
c) 4
d) 30
22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
a) 15
b) 16
c) 31
d) 10
23. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the
sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n
times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27
24. In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.
If 3 + sqrt(7) is a root, which of the following must be also a root?(Note that x ^n denotes the x
raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of
u, or the number which when multiplied by itself, gives the number u)?
a) 3-sqrt(7)
b) 3+sqrt(21)
c) 5
d) sqrt(7) + sqrt(3)
25. If 3*y+x>2 and x+2*y -1
b) y = -1
c) y < -1
d) y = 1
TCS Confidential
26. If m is an odd integer and n an even integer, which of the following is definitely odd?
a) m+n
b) (2m+n) (m-n)
c) m^2 +m*n + n^2
d) (m+n^2)+ (m-n^2)
27. 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 1%
b) No change
c) An increase of 1%
d) A decrease of 99%
28. What is the sum of all even integers between 99 and 301?
a) 20200
b) 20000
c) 40400
d) 40000
29. 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) 5
b) 6
c) 7
d) 4
30. If n is the sum of two consecutive odd integers and less than 100, wha t is the greatest
possibility of n?
a) 96
b) 99
c) 98
d) 94
31. x^2 < 1/100, and x< 0. What is the tightest range in which x can lie?
a) -1/10 < x < 0
b) -1/10 < x
c) -1/10 < x=3, A(1)=1,A(2)=1 . Calculate S(1000), where S(1000) is the sum of the first
1000 terms
a) 1
b) -1
c) 2
d) 0
35. If x^2- 16 > 0, which of the following must be true?
a) -4 > x or x > 4
b) -4 < x < 4
c) x < 4
d) 4 < x
36. Two cyclists begin training on an oval racecourse at the same time. The professional cyclist
completes each lap in 4 minutes; the novice takes 6 minutes 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) 12
b) 8
c) 10
d) 14
37. 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) If B is the daughter of N, then M and B are sisters
b) P and N are brothers
c) M is the daughter of P
d) If C is the granddaughter of O, then C and M are sisters.
38. What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?
a) 0
b) 1
c) 3
d) 6
TCS Confidential
39. In base 7, a number is written only using the digits 0,1,...6. The number 21 in base 7 is equal
to 2*7+1 =15 in base 10. Similarly the number 135 in base 7 is 1 x 7^2 + 3 x 7 + 5 = 75 in base
10. What is the sum of the base 7 numbers 1234 and 6543 in base 7?
a) 11110
b) 11011
c) 10111
d) 11101
40. Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine they try to find
their weights. When Akhilesh stands on the machine, without his knowledge Bernard also
climbs the machine and the weight shown was 132kg. When Bernard stands, without his
knowledge Catherine also stands on the machine and the machine shows 130 kg. Similarly the
weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg.
What is the weight of Dinesh?
a) 44 kg
b) 58 kg
c) 78 kg
d) Cannot be determined from the given information
41. Roy is now 4 years older than Erik and 2 years older than Iris. If in 2 years, Roy will be twice as
old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
a) 48
b) 28
c) 50
d) 52
42. 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 even.
d) Z must be odd
43. How many four-digit numbers that do not contain the digits 3 or 6 are there?
a) 3584
b) 4096
c) 5040
d) 7200
44. 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) 60 km
b) 30 km
c) 45 km
d) 80 km
TCS Confidential
45. In a rectangular coordinate system, what is the area of a triangle whose vertices have the
coordinates (4, 0), (6, 3), and (6, -3)?
a) 6
b) 7.5
c) 7
d) 6.5
46. 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
47. A gardener changed the size of his rectangle-shaped garden by increasing its length by 40%
and decreasing its width by 20%. The area of the new garden:
a) has increased by 12%
b) has increased by 20%
c) has increased by 8%
d) cannot be expressed in percentage terms without actual numbers
48. The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime
integers. How many factors does N have?
a) 12
b) 4
c) 6
d) 24
49. If 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) 2
b) 1
c) 3
d) 4
50. A turtle is crossing a field. What is the total distance (in meters) passed by the turtle ?
Consider the following two statements to get the answer.
(X) The average speed of the turtle is 2 meters per minute.
(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have
finished the same path 40 minutes earlier.
a) Both Statements X and Y are needed to get the answer
b) Statement X alone is enough to get the answer
c) Statement Y alone is enough to get the answer
d) Statements X and Y are together not enough to get the answer, and additional data is
needed
TCS Confidential
51. Given the following information, who is 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) B
b) A
c) C
d) D
52. Given the following information, which option must be true?
A occurs only if either B or C occurs.
B occurs only if both D and E occur.
F occurs only if C does not occur
G occurs only if both A and F occur
a) G does not occur if D does not occur
b) A occurs whenever F occurs
c) F never occurs
d) None of these
53. In how many ways can we distribute 10 identical looking pencils to 4 students so that each
student gets at least one pencil?
a) 84
b) 5040
c) 210
d) None of these
54. 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) 18 x 19 !
b) 20 !
c) 19 ! + 18 !
d) 2 x 19 !

could you please, send answers for these questions pls...? u have already answered till 24 ...try after 24th......
...
TCS Confidential
Note: These are not sample questions, but questions that explore some of the concepts that may
be used. The intention is that you should get prepared with the concepts rather than just focusing
on a set of questions.
-----------------------------------------------------------------------------------
1. What are the total number of divisors of 600(including 1 and 600)?
a) 24
b) 40
c) 16
d) 20
2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a) 2870
b) 2000
c) 5650
d) 44100
3. What is where is the number of ways of choosing k items from 28
items?
a) 406 * 2
27
b) 306 * 2
26
c) 28 * 2
27
d) 56 * 2
27
4. What is where is the number of ways of choosing k items from 28
items?
a) 2
56
b) 3 * 2
27
c) 3
29
d) 3 *4
27
5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but
she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a
message to him. If each call takes 2 minutes to complete, and every call is answered, what is
the minimum amount of time in which she can guarantee to deliver the message to Mr.
Sharma.
a) 18 minutes
b) 610 minutes
c) 206 minutes
d) 34 minutes
TCS Confidential
6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a) 4 minutes
b) 7 minutes
c) 1 minutes
d) 5 minutes
7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the median time per call?
a) 5 minutes
b) 7 minutes
c) 1 minutes
d) 4 minutes
8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and
her score is the square of the value shown. What is the probability that Sandra’s score will be
strictly higher than Eric’s score?
a) 137/216
b) 17/36
c) 173/216
d) 5/6
9. What is the largest integer that divides all three numbers 23400,272304,205248 without
leaving a remainder?
a) 48
b) 24
c) 96
d) 72
10. Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither
like chocolate nor like cricket. How many people like both cricket and chocolate?
a) 7
b) 10
c) 15
d) 18
11. If f(x) = 2x+2 what is f(f(3))?
a) 18
b) 8
c) 64
d) 16
TCS Confidential
12. If f(x) = 7 x +12, what is f-1(x) (the inverse function)?
a) (x-12)/7
b) 7x+12
c) 1/(7x+12)
d) No inverse exists
13. A permutation is often represented by the cycles it has. For example, if we permute the
numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132)
says that the first number has gone to the position 3, the third number has gone to the
position 2, and the second number has gone to position 1, and (5 4) means that the fifth
number has gone to position 4 and the fourth number has gone to position 5. The numbers
with brackets are to be read cyclically.
If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented
as (1345)(2).
We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1
5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order (how many times
must it be applied before the numbers appear in their original order)?
a) 12
b) 7
c) 7! (factorial of 7)
d) 14
14. What is the maximum value of x3y3 + 3 x*y when x+y = 8?
a) 4144
b) 256
c) 8192
d) 102
15. Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The
distance BC in cms is?
a) 60
b) 62
c) 68
d) 64
TCS Confidential
16. In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table
3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha,
Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which
table are determined by the following constraints?
a) Chitra does not sit at the same table as Govind.
b) Eesha does not sit at the same table as David.
c) Farooq does not sit at the same table as Chitra.
d) Akash does not sit at the same table as Babu.
e) Govind does not sit at the same table as Farooq.
Which of the following is a list of people who could sit together at table 2?
a) Govind, Eesha, Akash
b) Babu, Farooq, Chitra
c) Chitra, Govind, David.
d) Farooq, David, Eesha.
17. There are a number of chocolates in a bag. If they were to be equally divided among 14
children, there are 10 chocolates left. If they were to be equally divided among 15 children,
there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are
added to the bag. What is the remainder when the minimum feasible number of chocolates in
the bag is divided by 9?
a) 2
b) 5
c) 4
d) 6
18. Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the
minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values
of m and n)?
a) 9
b) 6
c) 5
d) 18
19. What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
a) 257
b) 905
c) 351
d) 498
TCS Confidential
20. We have an equal arms two pan balance and need to weigh objects with integral weights in
the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in
any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other
pan. The minimum number of standard weights required is:
a) 4
b) 10
c) 5
d) 6
21. A white cube(with six faces) is painted red on two different faces. How many different ways
can this be done (two paintings are considered same if on a suitable rotation of the cube one
painting can be carried to the other)?
a) 2
b) 15
c) 4
d) 30
22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
a) 15
b) 16
c) 31
d) 10
23. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the
sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n
times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49, 27
24. In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.
If 3 + sqrt(7) is a root, which of the following must be also a root?(Note that x ^n denotes the x
raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of
u, or the number which when multiplied by itself, gives the number u)?
a) 3-sqrt(7)
b) 3+sqrt(21)
c) 5
d) sqrt(7) + sqrt(3)
25. If 3*y+x>2 and x+2*y -1
b) y = -1
c) y < -1
d) y = 1
TCS Confidential
26. If m is an odd integer and n an even integer, which of the following is definitely odd?
a) m+n
b) (2m+n) (m-n)
c) m^2 +m*n + n^2
d) (m+n^2)+ (m-n^2)
27. 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 1%
b) No change
c) An increase of 1%
d) A decrease of 99%
28. What is the sum of all even integers between 99 and 301?
a) 20200
b) 20000
c) 40400
d) 40000
29. 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) 5
b) 6
c) 7
d) 4
30. If n is the sum of two consecutive odd integers and less than 100, wha t is the greatest
possibility of n?
a) 96
b) 99
c) 98
d) 94
31. x^2 < 1/100, and x< 0. What is the tightest range in which x can lie?
a) -1/10 < x < 0
b) -1/10 < x
c) -1/10 < x=3, A(1)=1,A(2)=1 . Calculate S(1000), where S(1000) is the sum of the first
1000 terms
a) 1
b) -1
c) 2
d) 0
35. If x^2- 16 > 0, which of the following must be true?
a) -4 > x or x > 4
b) -4 < x < 4
c) x < 4
d) 4 < x
36. Two cyclists begin training on an oval racecourse at the same time. The professional cyclist
completes each lap in 4 minutes; the novice takes 6 minutes 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) 12
b) 8
c) 10
d) 14
37. 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) If B is the daughter of N, then M and B are sisters
b) P and N are brothers
c) M is the daughter of P
d) If C is the granddaughter of O, then C and M are sisters.
38. What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?
a) 0
b) 1
c) 3
d) 6
TCS Confidential
39. In base 7, a number is written only using the digits 0,1,...6. The number 21 in base 7 is equal
to 2*7+1 =15 in base 10. Similarly the number 135 in base 7 is 1 x 7^2 + 3 x 7 + 5 = 75 in base
10. What is the sum of the base 7 numbers 1234 and 6543 in base 7?
a) 11110
b) 11011
c) 10111
d) 11101
40. Akhilesh, Bernard, Catherine and Dinesh go for a picnic. In a weighing machine they try to find
their weights. When Akhilesh stands on the machine, without his knowledge Bernard also
climbs the machine and the weight shown was 132kg. When Bernard stands, without his
knowledge Catherine also stands on the machine and the machine shows 130 kg. Similarly the
weight of Catherine and Dinesh is found as 102 kg and that of Bernard and Dinesh is 116 kg.
What is the weight of Dinesh?
a) 44 kg
b) 58 kg
c) 78 kg
d) Cannot be determined from the given information
41. Roy is now 4 years older than Erik and 2 years older than Iris. If in 2 years, Roy will be twice as
old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
a) 48
b) 28
c) 50
d) 52
42. 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 even.
d) Z must be odd
43. How many four-digit numbers that do not contain the digits 3 or 6 are there?
a) 3584
b) 4096
c) 5040
d) 7200
44. 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) 60 km
b) 30 km
c) 45 km
d) 80 km
TCS Confidential
45. In a rectangular coordinate system, what is the area of a triangle whose vertices have the
coordinates (4, 0), (6, 3), and (6, -3)?
a) 6
b) 7.5
c) 7
d) 6.5
46. 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
47. A gardener changed the size of his rectangle-shaped garden by increasing its length by 40%
and decreasing its width by 20%. The area of the new garden:
a) has increased by 12%
b) has increased by 20%
c) has increased by 8%
d) cannot be expressed in percentage terms without actual numbers
48. The prime factorization of integer N is A x A x B x C, where A, B and C are all distinct prime
integers. How many factors does N have?
a) 12
b) 4
c) 6
d) 24
49. If 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) 2
b) 1
c) 3
d) 4
50. A turtle is crossing a field. What is the total distance (in meters) passed by the turtle ?
Consider the following two statements to get the answer.
(X) The average speed of the turtle is 2 meters per minute.
(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have
finished the same path 40 minutes earlier.
a) Both Statements X and Y are needed to get the answer
b) Statement X alone is enough to get the answer
c) Statement Y alone is enough to get the answer
d) Statements X and Y are together not enough to get the answer, and additional data is
needed
TCS Confidential
51. Given the following information, who is 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) B
b) A
c) C
d) D
52. Given the following information, which option must be true?
A occurs only if either B or C occurs.
B occurs only if both D and E occur.
F occurs only if C does not occur
G occurs only if both A and F occur
a) G does not occur if D does not occur
b) A occurs whenever F occurs
c) F never occurs
d) None of these
53. In how many ways can we distribute 10 identical looking pencils to 4 students so that each
student gets at least one pencil?
a) 84
b) 5040
c) 210
d) None of these
54. 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) 18 x 19 !
b) 20 !
c) 19 ! + 18 !
d) 2 x 19 !

Thanks Naveen for your answer to the question:
SEND+MORE=MONEY
what is the value of M+O+N+E+Y?

Can you tell me the process of thinking behind your approach?

Thank you Ram for your solution to the question that required to find J(602). Keep it up bro !!!

congrates rahul .....keep on......

thank you so much..i will be waiting for you mail

sir pls send tcs papers to my id kadh28@gmail.com...i am in need of it..pls...

Sir plz could you explain the quns of rank supppse the tank of parrot in dictionary in easy way and reminder theoram like 5^20+5^7/7=2ans how it come thanx advance

Sir,I want Tcs Apti Papers Please Send Me arnavyagnik@gmail.com
Please.
ThankYou.

find the sum of all 4-digits number that can be formed using the digits 2,3,5,7.plz send this ans with solution.

55th word of SHUVANK in dictionary?? ( 1 Marks )
(1) AHSNKUV
(2) AHNKSVU
(3) AHNKUSV
(4) AHNKUVS
how to find the word

Sir, Thanks for your notes. I feel difficult to solve remainder theorem. Can you please guide me with some common rules for remainder theorem.

how to find 25th rank of mother in dictionary...wat is the trick they are using to find rank....

i know sudoku well...but this is new one i am hearing karthick...so only i asked

A person starts his work on Monday, after 8 days of work he will take rest i.e., on 9th

what would be his 12th

rest day.

hi sir tell me the answer for this question & solution also i want.What will be the last two digits of 5306^214

HI sir..pls send me tcs placement papers to my mail at kadh28@gmail.com..pls do dis favour..

( #M 4 0 0 3 2 9 9 5 ) T CS QU E S T I O N h o w i s i t p o s s i b l e ? & wh at i s a m e t h o d ?
PAST E = 8065838469
SHIFT = 8372737084
ASK ED = 6583756968
MAT HS = 7765847283
SHAR E = 8372658269

the greatest four digit perfect square number??
(a)9981 (b)9891 (c)9791 (d)9801
give me a answer....

how yu solve the on no of trains crossing yr,I didn't get u?

Did anyone attend the apptitude section of tcs in this year so please send me quns and also examples of email writing teston my id sharmaakanksha37@gmail.com thnx in advance plzzzzzzzzzzzzzzzzzzzzzz..……………………

have u tcs previos year question paper, plz snd me,,, devirtiwari011@gmail.com

hii rakesh .. can u tell where I should practice and is that enough previous paper for tcs aptitude

hello rakesh..can you temme about question paper of tcs..what type of questions comes and are the questions same as there in the previous papers.is this site enough for getting through tcs aptitude?

any one can solve
Two consecutive numbers are removed from the series of progression 1, 2, 3 , .. n. The arithmetic mean of the of the remaining numbers is 26 1/4 . The value of N is :

A. 81
B. 60
C. 50
D. Cannot be determined.

can anyone plzzz send me broadridge placement paper

SIR,
please send me TCS placement papers with solutions @gayathrimohan335@gmail.com

Sir,PLZ send me Last 10 year's TCS placement papers with solutions to vidyachitty.181@gmail.com very urgently as i had aptitude test on sept plz!!
Hope u will send me d pprs as soon as possible

An equilateral triangle is inscribed in a circle with a radius of 6cm Find its one side in cm?

I NEED COMPLETE SOLUTION PLS HELP ME