Elitmus TCS

Hello sir, here I’m looking for previous year Elitmus placement paper for to get placement in TCS. Is there one can provide me ELITMUS TCS paper?

[Rajkumar Agarwal]

TCS is a IT company. This TCS hire the candidates through ELitmus test. Candidates are invited for placement pool for to get attend ELitmus test for TCS jobs.

TATA Consultancy Service Limited is a multinational information technology (IT) service, consulting and business solutions company headquartered in India. TCS operates in 46 countries.

It is a subsidiary of the Tata Group and is listed on the Bombay Stock Exchange and the National Stock Exchange of India.

TCS is the largest Indian company by market capitalization and is the largest India-based IT services company

TCS Elitmus question paper:

TCS Aptitude Paper:

TCS-Q1 : What is the maximum value of x^3y^3 + 3 x*y when x+y = 8?
a. 4144
b. 256
c. 8192
d. 102
Answer : a
Explanation : Sustitute x = 4 and y = 4

TCS-Q2 : 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
Answer : a

TCS-Q3: Find the missing in the series: 70, 54, 45, 41,____.
Answer : 40
Explanation :
70-54 = 16 = 42
54-45 = 9 = 32
45-41 = 4 = 22
41-40 = 1 = 12

TCS-Q4 : A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Answer : 19
Explanation : We have to find the maximum number which divides all the given numbers so that number of roots get minimized. HCF of 120,192 & 144 is 24. Each room have 24 students of the same course.
Then rooms needed 12024+19224+14424 = 5 +8 + 6 = 19


TCS-Q5 : A milk man mixed 1 : 4 solution of milk and water with another 1 : 2 solution of milk and water in the volume of ratio 3 : 2. If the profit earned by selling the first solution was 20% and the mixture was sold at the same price, what is the profit or loss percentage? You have to assume that water comes free of cost.
a. 5.26% profit
b. 5.25% loss
c. 6.25% loss
d. None of these

TCS-Q6 : what is the largest number that will devide 90207, 232585, 127986 without leaving a reminder?
i) 257
ii)905
iii)351
iv)498
Answer : i) 257

TCS-Q7 : When Usha was thrice as old as Misha, her sister Asha was 25. When Misha was half as old as Asha, then her sister Usha was 34. Their ages add to 100. How old is Usha?
a) 37
b) 43
c) 40
d) 44
Answer : c

TCS-Q8 : Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines are
1) 3
2) 1
3) 0
4) 4
Answer : 4

TCS-Q9 : 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
Answer : a

TCS-Q10 : What is the largest number that will divide 90207, 232585 and 127986 without leaving a remainder?
a. 257
b. 905
c. 351
d. 498
Answer : a

TCS-Q11 : 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
Answer : a

TCS-Q12 : A farmer has a rose garden. Every day he picks either 7,6,24 or 23 roses. When he plucks these number of flowers the next day 37,36,9 or 18 new flowers bloom. On Monday he counts 189 roses. If he continues on his plan each day, after some days what can be the number of roses left behind? (Hint : Consider number of roses remaining every day)
a)7
b)4
c)30
d)37
Answer : b

TCS-Q13 : What is the 32nd word of "WAITING" in a dictionary?
Answer : AGNTIWI
Explanation : Arranging the words of waiting in Alphabetical Order : A,G,I,I,N,T,W
Start with A_ _ _ _ _ _ This can be arranged in 6!/2! ways=720/2=360 ways
so can't be arranged starting with A alone as it is asking for 32nd word so it is out of range
AG_ _ _ _ _then the remaining letters can be arranged in 5!/2! ways so,120/2=60 ways. Out of range as it has to be within 32 words.
AGI_ _ _ _ Now the remaining letters can be arranged in 4! ways =24
AGN _ _ _ _ can be arranged in 4!/2! ways or 12 ways
so,24+12 =36th word so out of range. So we should not consider all the words start with AGN
now AGNI_ _ _can be arranged in 3! ways =6 ways
so 24+6=30 within range
Now only two word left so, arrange in alphabetical order.
AGNTIIW - 31st word
AGNTIWI - 32nd word


TCS-Q14 : A is 20 percent more efficient then b.if the two person can complete a piece of work in 60 days.in how many days.A working alone can complete the work
a) 80
b) 90
c) 100
d) 110
Answer : a

TCS-Q15 : lottery balls are numbered and colored balls. in the famous lotto, six numbered balls are drawn at random from 49 balls. In each ticket one needs to guess the six numbers that would be drawn. an urn contains m white and n black balls. a ball is drawn at random and is put back in to the urn along with k additional balls of the same color as that of the ball drawn. A ball is again drawn at random. probability of drawing a white ball now:
1) does not depend on k
2) cant be determined
3) decreases with k
4) increases with k
Answer : 1

TCS-Q16 :What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a. 2870
b. 2000
c. 5650
d. 44100
Answer : a

TCS-Q17 :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)
Answer : a

TCS-Q18 : If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day’s work?
Answer : M=350 W=200

TCS-Q19 :The cost price of a cow and a horse is Rs 3 lakhs. The cow is sold at 20% profit and the horse is sold at 10% loss. Overall gain is Rs 4200. What is the cost price of the cow?
Answer : 114000
Explanation :
Profit = 4200
Profit =SP - CP
4200=SP - 300000 therefore SP=304200
x+y = 300000
1.2x + 0.9y = 304200
Solving for x = 114000

TCS-Q20 : 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4......
In the above sequence what is the number of the position 2888 of the sequence.
a) 1
b) 4
c) 3
d) 2
Answer : c
Explanation : First if we count 1223334444. they are 10
In the next term they are 20
Next they are 30 and so on
So Using n(n+1)2×10≤2888
For n = 23 we get LHS as 2760. Remaining terms 128.
Now in the 24th term, we have 24 1's, and next 48 terms are 2's. So next 72 terms are 3's.
The 2888 term will be “3”.

TCS-Q21 : How many 4-digit numbers contain no.2?
Answer : 3168
Explanation : Total number of four digit numbers =9000 (i.e 1000 to 9999 )
We try to find the number of numbers not having digit 2 in them.
Now consider the units place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9)
Tens place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9)
Hundreds place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9)
Thousands place can be selected in 8 ways (i.e 1,3,4,5,6,7,8,9) here '0' cannot be taken
Total number of numbers not having digit 2 in it =9 x 9 x 9 x 8 =5832
Total number of numbers having digit 2 in it = 9000-5832 =3168


TCS-Q22 :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)
Answer : a

TCS-Q23 :How many divisors (including 1, but excluding 1000) are there for the number 1000?
a. 15
b. 16
c. 31
d. 10
Answer : a

TCS-Q24 : 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
Answer : a

TCS-Q25 :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
Answer : a

TCS-Q26 :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. 3 minutes
c. 1 minutes
d. 4 minutes
Answer : b

TCS-Q27 :The minimum number of cuts required to cut a big cube into 480 identical pieces is n. What is the maximum number of identical pieces that can be cut from the big cube with n cuts?
a) 480
b) 512
c) 492
d) 576
Answer : b

TCS-Q28 :How many 6 digit even numbers can be formed from digits 1 2 3 4 5 6 7 so that the digit should not repeat and the second last digit is even?
a)6480
b)320
c)2160
d)720
Answer : d

TCS-Q29 :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
Answer : B

TCS-Q30 :What is the value of (2^2 + 4^2 + 6^2 + ... + 20^2 )?
A) 542
B) 756
C) 1540
D) 968
Answer : c

TCS-Q31 :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
Answer : A

TCS-Q32 :If f(x) = 2x+2 what is f(f(3))?
a. 18
b. 8
c. 64
d. 16
Answer : a

TCS-Q33 :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
Answer : a

TCS-Q34 :A coin is tossed 3 times. Find out the number of possible outcomes.
1) None of these
2) 8
3) 2
4) 1
Answer : 2

TCS-Q35 :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.
Answer : a