Latest TCS Aptitude Question SOLUTION: 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 * b. 306 * c. 28 * d. 56 * 4. What is ∑ ( ) where is the number of ways of choosing k items from 28 items? a. b. c. d. 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 minutes6. 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. 1612. 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 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 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. 621. 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)

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Challenger of the Day

Rituparna Bhattacharyya
Rituparna Bhattacharyya
India
West Bengal
Time: 00:01:22

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vinodhini.g
16 Hours ago

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Papri Bhowmick
2 Days ago

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venkaiaha
7 Days ago

cleared ibm 2 rounds
thank you m4maths.com

Triveni
7 Days ago

Thanks to m4maths.I got placed in IBM.Awsome work.Best of luck.

Lekshmi Narasimman MN
12 Days ago

Thanks ton for this site . This site is my main reason for clearing cts written which happend on 5/4/2014 in chennai . Tommorrw i have my interview. Hope i will tel u all a good news :)
Thanks to almighty too :) !!

abhinay yadav
18 Days ago

thank you M4maths for such awesome collection of questions. last month i got placed in techMahindra. i prepared for written from this site, many question were exactly same as given here.
bcz of practice i finished my written test 15 minutes before and got it.
thanx allot for such noble work...

manasi
22 Days ago

coz of this site i cud clear IBM's apti nd finally got placed in tcs
thanx m4maths...u r a wonderful site :)

arnold
24 Days ago

thank u m4maths and all its user for posting gud and sensible answers.

Nilesh singh
27 Days ago

finally selected in TCS. thanks m4maths

MUDIT
29 Days ago

Thank you team m4maths.Successfully placed in TCS.

Deepika Maurya
29 Days ago

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Rimi Das
1 Month ago

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Stephen raj
1 Month ago

prepare from r.s.aggarwal verbal and non verbal reasoning and previous year questions from m4maths,indiabix and chetanas forum.u can crack it.

Stephen raj
1 Month ago

Thanks to m4maths:)
cracked infosys:)

Ranadip
1 Month ago

i have been Selected in Tech Mahindra.
All the quanti & reasoning questions are common from the placement papers of m4maths.
So a big thanks to m4maths team & the people who shares the placement papers.

Amit Das
1 Month ago

I got selected for interview in TCS.Thank you very much m4maths.com.

PRAVEEN K H
1 Month ago

I got placed in TCS :)
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Syed Ishtiaq
1 Month ago

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sara
1 Month ago

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plz guide for the technical round.

mounika devi mamidibathula
1 Month ago

got placed in IBM..

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Anisha Lakhmani
1 Month ago

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Anisha Lakhmani
1 Month ago

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Kusuma Saddala
2 Months ago

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sangeetha
2 Months ago

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mahima srivastava
2 Months ago

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2 Months ago

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Surya Narayana K
2 Months ago

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2 Months ago

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vishal
3 Months ago

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sameer
4 Months ago

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5 Months ago

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Kumar
5 Months ago

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5 Months ago

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ANGELIN ALFRED
5 Months ago

Hai friends, I got placed in L&T INFOTECH and i m visiting this website for the past 4 months.Solving placemetn puzzles from this website helped me a lot and 1000000000000s of thanks to this website.this website also encouraged me to solve puzzles.follw the updates to clear maths aps ,its very easy yar, surely v can crack it if v follow this website.

MALLIKARJUN ULCHALA
6 Months ago

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Madhuri
6 Months ago

thanks for m4maths!!! bcz of which i cleared apti of infosys today.

DEVARAJU
7 Months ago

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PRATHYUSHA BSN
7 Months ago

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7 Months ago

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do practice n u'll surely succeed :)

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1 year ago

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vivek singh
2 years ago

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2 years ago

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2 years ago

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2 years ago

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2 years ago

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2 years ago

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vijay
2 years ago

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Again Thanx for all support given by M4Math during
my preparation for TCS.

and Best of LUCK for all students for their preparation.

maheswari
2 years ago

thanks to M4MATHS..got selected in TCS..thanks for providing solutions to TCS puzzles :)

GIRISH
2 years ago

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got selected in tcs for u only...
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3 cheers for m4maths

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2 years ago

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2 years ago

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Continue this g8 work

JYOTHI
2 years ago

thank you m4maths.com for providing a web portal like this.Because of you only i got placed in TCS,driven on 26/8/2011 in oncampus

raghu nandan
2 years ago

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3 years ago

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Veer Bahadur Gupta
3 years ago

got placed in TCS ...
thanku m4maths...

Amulya Punjabi
3 years ago

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Anusha Alva
3 years ago

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Oindrila Majumder
3 years ago

thanks a lot m4math.. placed in TCS

Pushpesh Kashyap
3 years ago

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Saurabh Bamnia
3 years ago

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Gautam Kumar
3 years ago

it was really useful 4 me.................n finally i managed to get through TCS

Karthik Sr Sr
3 years ago

i like to thank m4maths, it was very useful and i got placed in tcs

Latest User posts (More)

Maths Quotes (More)

"Old math teachers never die, they just tend to infinity." Unknown

"a man that is poor is very rich because he know the value of zero." yash singh

"Full form of MATHS M-mentally A-assets T-teacher H-harassing S-students all the time." Jasmine Khan

""If you able to solve the problems in MATHS, then you also able to solve the problems in your LIFE" (Maths is a great Challenger)" Vignesh

"Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state." Plato

"mathematics is the mirror of our culture" bhavin

"But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius." Harold Marston Morse

Latest Placement Puzzle (More)

"a certain number when divided by 134 leaves a remainder 25, another number when divided by 312 leaves a remainder 53 . what is the remainder when the sum of these two numbers is divided by 33"

UnsolvedAsked In: General



" In an election how many votes are cast.
1. the winning candidate gets 54% of the total votes
2. the winning candidate wins by 800
"

UnsolvedAsked In: College Exam



". Identify the pair of words which has a relationship similar to the pair in question.
Pale: Tale
Story : Epic
Habit : Old
Custom : Solemn
Foil : Toil
"

UnsolvedAsked In: Syntel



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