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(#M40011242) TCS LATEST MATHS PUZZLE (557) Keep an EYE

:TCS LATEST PATTERN2012-2013:

1. P(x)=(x^2012+x^2011+x^2010+.....+x+1)^2-x^2012
Q(x)=x^2011+x^2010+.......+x+1
The remainder when P(x) is divided by Q(x) is ?

2. In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water ?

3. Directions for Q. 1 to Q. 5: Refer the data:
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. Collected by J was the square of an integer.
(iv) Total no. Collected by K was either the square or cube of an integer.
1. The no. Collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. Collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9
L=12, N=11, J=27, M=14, K=36

4. A man can row 6 km/hr. in still water. If the speed of stream is 2km/hr., it takes him 3 hours to row to a place and back. How far is the place?

5. F(n) is a function...where f(f(n))+f(n)=2n+3.
F(n)=0;find f(2012) ?

6. How many vehicle registration plate numbers can be formed with digits 1,2,3,4,5(no digits being repeated)if it is given that registration number can have 1 to 5 digits ?
Options: 205 100 325 105

7. You can have registration plates of 5,4,3,2 or 1 digits
So, it's 5*4*3*2*1 + 5*4*3*2 + 5*4*3 +5*4 + 5
=120 + 120 + 60 + 20 +5
=> 325

8. A merchant buys 20kg of wheat at rs.30.00 per kg and 40kg wheat at rs.25.00 per kg.He mixes them and sell one third of the mixture at rs.26.00 per kg. The price at which the merchant should sell the remaining mixture so that he may earn a profit of 25% on his whole outlay is
Total cp = 20 * 30 + 40*25= 1600
Sp = 125/100 * 1600= 2000
Sp for 20kg mix = 26*20 =520
Rem sp = 2000-520 = 1480
As this sp is for 40 kg = 1480 / 40 = Rs37

9. Four friends namely Rahul, Ravi, Rajesh and Rohan contested for a dairy milk chocolate. To decide which friend will get the chocolate they decided to throw two dice. Every friend was asked to choose a number and if the sum of the numbers on two dice equals that number, the concerned person will get the chocolate. Rahul's choice was7, Ravi's choice was 9, Rajesh's choice was 10 and Rohan's choice was 11. Who has the maximum probability of winning the amount?
A) Rahul b) Ravi c) Rajesh d) Rohan

10. Messrs. Siva Constructions, leading agents in Chennai prepared models of their lands in the shape of a rectangle and triangle. They made models having same area. The length and width of rectangle model are 24 inches and 8 inches respectively. The base of the triangle model is 16 inches. What is the altitude of triangle model from the base to the top?
A) 24 inches b) 8 inches c) 20 inches d) 32 inches
If h is the height of triangle model, then 24*8 = 16*h/2 h= 24 inches

11. In month of jan 4 thursday and 4 sunday then on 1st jan of that month which willbe the day?
1. Monday
2. Friday
3.saturday
4. Wednesday

12. There is a 12*6 grid...grid contains 1*1 squares. What is d total number of squares..(consider 1*1,2*2,3*3,4*4,5*5,6*6 size squares as well).

13. 7,5,9,12,18,36,47,72,?

14. 5, 9, 12, 18, 26, 36, 47, 72, _?
It is 5 ...... 12....... 26......... 47
12= 5+7
26= 12+2×7
47=26+3×7
Next is 47+4×7=75
And 9, 18, 36, 72 hence next 144
Therefore 5, 9, 12, 18, 26, 36, 47, 72, 75, 144

15. F(x)=f(f(x))=f(x^2)....how many such functions with degree >2 exist

16. The length and breadth of a field is 300x400ft, if there are 3 ants on average per square inch of field, find the approximate number of ants in field
As 300 ft=3600 inch and 400 ft=4800 inch.then area in sqr inch=17280000
1 sqr inch need 3 ant hence 17280000 sqr inch need 3*17280000 ants

17. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
A) 3:8
B) 2:5
C) 3:6
D) 2:4
Ratio = sqrt3*a^2/8a^2....i.e sqrt3/8

18. A, B COMMON TO ALL THREE. THEN ATLEAST 1 ELEMNT COMMON TO 2 IE X1,X2,X2,X3,X3,X1. FINDMINIMUM ELEMENTS IN EACH GROUP.
ANSWER IS 4.

19. There are three dice, threw 3 times probability of getting 10 is ?
Possible event.......(1,3,6)(1,4,5)(1,5,4)(1,6,3)(2,2,6)(2,3,5)(2,4,4)(2,5,3)(2,6,2)(3,1,6)(3,2,5)(3,3,4)(3,4,3)(3,5,2)(3,6,1)(4,1,5)(4,2,4)(4,3,3)(4,4,2)(4,5,1)(5,1,4)(5,2,3)(5,3,2)(5,4,1)(6,1,3)(6,2,2)(6,3,1)
Total 27 possible events
Given dice is thrown 3 times
So probability is ..........3*27/216

20. What is the probability of throwing 3 dices to get a sum of 10?

21. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
A) 1/72
B) 1/9
C) 25/216
D)1/8
27/216 than ans is 1/8

22. From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??
13C1*2C1*2C1/52C3 = 0.00235

23. A) in how many ways can 3 postcards can be posted in 5 postboxes?
B) in how many ways can 5 postboxes hold 3 post cards?
A)5^3
B)3^5

24. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43
Total=800m
16m per min means for 1m=800/16 =50min to climb
10m per min means for 1m=800/10=80min to climb for paul.....The total time is 2hours==120min....so, time taken for rest by paul is 120-80=40min

25. Two cyclist begin training on oval racecourse at same time the professional cyclist complete each lap in 4 sec noves take 6 minute how many minute after start will both cyclist pass at exactly same spot where they begin to cycle(a)10(b)8(C)14(D)12

26. Two points r there two person from A running to same direction with speed 20 km/hr. & 15/hr. respectively and from other end another person running to opposite direction with 30 km/hr.? Distance between them 100 km??At what time they will meet?

27. Tim and Elan are 90km away from each other .they are starting to move towards eachother simultaneously ,tim at speed 10kmph and elect at 5kmph ,,if every hr. they double the speed ,what is distance that tim will pass until he meets elan? (60)

28. There are 10 stepping stones numbered 1 to 10.a fly jumps from 1st stone as follows: every minute it jumps to the 4th stone from where it started -that is from 1st it would go to 5th, from 5th it would go to 9th, from 9th it would go to 3rd, etc .where would the fly be at 60th minute if it starts at 1?
Answer 1
1minute=1+4=5
1 minute=1+4=5step
2 minute=5+4=9step
3 minute=9+4=3step
4 minute=3+4=7step
5 minute=7+4=1step the same process is repeated 12*5 times hence at 60th minute fly would be at 1st step

29. Given the following information who is youngest?
C is younger than a; a is taller than b;
C is younger than d;
C is older than b;
B is taller than c;
A is older than d
(1)d (2)b (3)a (4)c

30. 1!+2!+3!...+50! Divided by 5! Remainder will be ? (0 or 33)

31. If there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?

32. We have 5 sub and 6 periods so their arrangement is 6P5 and now we have 1 period which we can fill with any of the 5 subjects so 5C1
6P5*5C1=3600

33. An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?
A)0.6485 b)0.6565 c)0.8645 d)none of these
Ans=c (0.8645)
Probability of no defective of x= 91/100=.91
Probability of non-defective of y= 95/100=.95
So, probability of no defective product=.91*.95=0.8645

34. There are six multiple choice questions in the examination. How many sequences of answers are possible, if the first two questions have 3 choices each, the next two have 4 choices each and last two have 5 choices each?
3c1*3c1*4c1*4c1*5c1*5c1=3600

35. The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?

36. Arun was all bent on building a new house. He carefully got the blue print of his house designed by his friend Ashwin, a civil engineer. He wanted to build a room of dimension 27 by 48 ft and lay tiles in this room. Each tile was of dimension 2 by 3 ft. How many tiles should Arun buy?
27*48/2*3=216

37. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age? A.2 b.5/2 c.3/2 d.1
F=3R.
After 8 yrs.
F+8=5/2(R+8)
2F+16=5R+16
2(3R) +16=5R+40
R=24 ROHIT
Aft further 8
Rohit == 24+8=32
Father == 24*3+8=80
80/32====5/2

38. Roy is now 4 year older than Erik and half of that amount than Lewis. If in two years Roy will be twice as old as Erick, then in two year what would be Roy age multiplied by Lewis age??
Ans is 48
Firstly two equations from 1st sentence...
Suppose Roy=x, Erik=y, Lewis=z
So x=y+4.... (1)
2nd is x=z+2... (2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)
Also after 2 years Erik and Roy relation will b
X+2=2(y+2)... (3)
So put this into 1st equation. U will get y=2...
And then x=6, z=4(by substituting other)
Now asking multiplication after two years of Roy n Lewis is (6+2)*(4+2) =48...

39. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged? A.5% b.20% c.25% d.12.5%
10% there are 10 possible pairs. Out of which 1 will not change my name.
So probability that name remains unchanged = 1/10 = 10%

40. In how many ways can 20 identical pencils be distributed among three girls so
That each gets at least 1 pencil?
Consider 3 girls as A, B, C THEN A+B+C=20, but each one should get at least 1 pencil so giving 1 pencil to each student, the remaining pencils are 20-3=17 now A'+B'+C''=17,
Number of non-negative integers of A', B’, C’ are (17+3-1) C (3-1)
So total Combinations are 19c2=19*9 = 171

41. A sequence {An}is defined A(1)=0&A(n+1)=A(n)+2(n)WHAT IS VALUE OF A(100)(a)9902(B)9900(C)10100(D)9904
Last will be A (1) +2*99*98*.....1
Now put the value 1+2(1+2+......+99)
2+ 2*99(99+1)/2
=9902

42. The sequence {A (n)} is defined by A (1) =2 and A (n+1) =A (n) +2n. What is the value of a (100)
Let a=2, d=2, a.p formula find nth term i.e... TN=a+ (n-1) d
Where TN=100...
100=2+ (n-1)2 gives n=50.
Now sum of n terms n/2(a+l) =2550(ans).

43. 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 first 1000 terms.
Ans: 3

44. In base 7, number is written only using digit0, 1, 6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7? (A) 11101(B) 11110(C) 10111(D) 11011
Ans: b) 11110
Explanation:
Convert the number from base 7 to base 10
Base 7(1234) = base 10(466)
Base 7(6543) = base 10(2334)
Sum of 466 + 2334 = 2800
Convert to base 7
Base 10 (2800) ===> 11110

45. M,N,O,P ARE DIFFERENT INDIVIDUAL M IS DAUGHTER OF N; MIS SON OF P;WHICH FOLOWING TRUE (a)M IS DAUGHTER OF P (B)IF B IS DAUGHTER OF N THEN M AND B ARE SISTER (b)IF C IS GRANDDAUGHTER OF O ,C AND M ARE SISTERS(d)P AND N ARE BROTHER

46. Which of following true: A occur only B or C occur B occur D&E occur if C not occur g occur if A and F occur option A occur whenever F occur2) F never occur3) G not occur if D not occur (3584) 4) none of these

47. House1 is older than H2, H3 is taller than H4, and H4 is older than H1... (I)H1 is older than H3 (ii) H2 is taller than H4 (a) only 1 (b) both (c) neither (d) only2

48. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
A) 3.50 b) 10.53 c) 1.17 d) 2.8
30L+3Q=11.67
30L+6Q=12.48
------------
3Q=.81 Q= .27
From that L=0.362 cost of 10 kg apple is 10*.362=3.6

49. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
A) ARBSEU
B) ARBESU
C) ARBSUE
D) ARBEUS
AB**** =4! = 24 ways
AE****=4! =24 ways next word is 49th so
AR**** in alphabetical order **** will be BESU
Ans is B

50. X,Y,W,Z ARE INTEGER THE EXPRESSION X-Y-Z IS EVEN&Y-W-Z ODD IF X IS EVEN THEN WHICH OF FOLLOWING IS TRUE(a)Y MUST BE ODD(b)Y-Z MUST BE ODD(c)W MUST BE ODD(d)Z MUST BE ODD
Ans. (c) W must be ODD
X-Y-Z=even and X even no.
Hence (y-z) must be even because (even -even = even)
And y-w-z=y-z-w=odd and (y-z) is even so W must be odd because (even - odd=odd)
Hence option (c) is correct

51. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk and half water?
Mr and Mrs smith had invited 9 of their friend and their spouses for party at wiki beachresort.the stand for group photograph if Mr smith never stand next to Mrs smith then how many way group arrange in row
(A) 20!
(B) 19! +18!
(C) 18*19!
(D) 2*19!

52. A father purchases dress for his three daughters. The dresses are of same colour but of different size .the dress is kept in dark room .What is the probability that all the three will not choose their own dress...

53. An empty tank is filled with an inlet pipe 'A' in 42 minutes. After 12 minutes an outlet pipe 'B' is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe 'C' opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank?

54. There are three buckets. Of 8, 5 n 3 litres...out of which only 8 ltr buckets is fully filled...u have to fill exact 4-4 ltr liquid in 8 and 5 litre bucket by using only these buckets in minimum number of steps.

55. 16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43

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

57. N! Have 13 zeros than what is the highest and lowest value of n??
65! Will have 13 +2= 15 zeros.55! , 56! .59! Will have 13 zeros. Lowest value of n=55 highest value of n =59

58. N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers?
A) 1, b) 3, c) 2, d) 4
If n=3 than 5 7 8 9 10 so prime no. 2

Asked In TCS latest paper pattern Submited By-- UN (1 year ago)

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(#M40002444) TCS MATHS PUZZLE (125) Keep an EYE

The Jumbo circus is performing in the city and the jumbo circus' main attraction is a group performance by a variety of performers. In this group belonging to the same category weight the same. The musicians are heavier than singers and the dancers are lighter than guitarist. Further the artist have same weight as the dancers. The average height of the above mentioned people reduces by 2cm if I replace the guitarist with a joker. Find the height of the joker, if the height of the guitarist is 184cm
a) 154cm b) 171cm c) 158 cm d) 160cm

Asked In TCS Submited By-- Sivakumar (2 years ago)

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(#M40026313) TCS MATHS PUZZLE (59) Keep an EYE

4 line drawn parallel to base of triangle such that they are equidistant,If area of the most bottom part is 4sq cm.find area of triangle?

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(#M40000929) TCS MATHS PUZZLE (57) Keep an EYE

A Seamstress buys a certain amount of gringham cloth which comes in rolls that are exactly 56 inches wide. She also bought a certain length of Seersucker- 1 yard long and 35 inches wide. She discovers she has 112 yards of gringham and she wants to divide this into 112 lengths of 1 yard each. She wants to have twicw as many pieces as Seersucker as she does of gringham. It takes her 8 seconds to cut each length working non stop, how long in seconds does it take to cut 112 pieces.

Asked In TCS Submited By-- Preeti Dhiman (2 years ago)

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(#M40024413) TCS MATHS PUZZLE (53) Keep an EYE

ab+a+b=250
bc+b+c=300
ac+a+c=216
then find a+b+c

Asked In TCS Submited By-- Manish kumar sah (2 Months ago)

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(#M40011406) TCS MATHS PUZZLE (52) Keep an EYE

In how many ways we can get a sum greater than 15 by throwing 5 distinct dice.

Asked In TCS Submited By-- RIMAN (1 year ago)

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(#M40026314) TCS MATHS PUZZLE (52) Keep an EYE

2310 can be expressed as product of 3 factors in how many ways?

Asked In tcs Submited By-- MD (1 Month ago)

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(#M40024620) TCS MATHS PUZZLE (48) Keep an EYE

a series is given as 1,6,7,13,20,33....and so on.find the sum of first 52 terms?

Asked In tcs Submited By-- Sneha Yadav (2 Months ago)

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(#M40011998) TCS MATHS PUZZLE CIRCLE (46) Keep an EYE

A CIRCLE HAS 29 POINTS ARRANGED IN A CIRCULAR FASHION CLOCKWISE FROM 0 TO 28.A bug moves clockwise on the circle by foolowing rule:
if it is point i on the circle it moves clockwise by i+r places, where r is the remainder when i is divided by 17. Thus if it is at point 5, then it moves in one second clockwise to further 1+5; i.e at 11 position. If it is at position 28 it moves to 1+11 i.e 11 position in one second.
If he starts at point 0; where will he be after 2012 seconds?

Asked In TCS Submited By-- dk (1 year ago)

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(#M40026312) TCS MATHS PUZZLE (46) Keep an EYE

In how many ways 1 or more fruits be selected from 6 varieties of fruits given that 5 fruits of each variety?

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(#M40024420) TCS MATHS PUZZLE (45) Keep an EYE

a,b,c,d are positive integers.find the no of possible solutions to the equation a+b+c+d=10

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(#M40024587) TCS MATHS PUZZLE (45) Keep an EYE

Find the last 3 digit of 2988^687

Asked In TCS Submited By-- sarika nayak (2 Months ago)

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(#M40024599) TCS MATHS PUZZLE (45) Keep an EYE

Determine the number of ways to distribute 10 (indistinguishable) orange drinks, 1 lemon drink, and 1 lime drink to four thirsty students such so that each student gets at least one drink, and the lemon and lime drinks go to different students.

Asked In TCS Submited By-- GAURAV JAISWAL (2 Months ago)

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(#M40012506) TCS MATHS PUZZLE (44) Keep an EYE

. A fly is there 1 foot below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a spider 1 foot above floor right across the long wall equidistant from both the ends. If the width of the room is 12m and 12m, what distance is to be travelled by the spider to catch the fly, if it takes the shortest path?

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(#M40026379) TCS MATHS PUZZLE engineering mathematics (44) Keep an EYE

12 can be written as product of 3 numbers in 18 ways like(1,2,6),(1,3,4),in how many ways can 3600 can be written like this

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(#M40024632) TCS MATHS PUZZLE (42) Keep an EYE

In how many ways one or more than one fruit, can be selected from 6 varieties of fruits given that there are 5 fruits of each variety?
option
a) 66
b) 56
c) 66-1
d) none

Asked In tcs Submited By-- ruchi (2 Months ago)

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(#M40019905) TCS MATHS PUZZLE questns by tcs after open sesame test (41) Keep an EYE

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)

Asked In tcs Submited By-- sonali (3 Months ago)

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(#M40029950) TCS MATHS PUZZLE p@c (41) Keep an EYE

N no of dice are thrown the probability of getting a sum of 40 before 56 is 2/7 then what may be the value of N
option
A. 21
B. 22
C. 24
D. cant determine

Asked In tcs Submited By-- PURUSHOTTAM (1 Month ago)

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(#M40026208) TCS MATHS PUZZLE (39) Keep an EYE

Fresh grapes certain 90% water by weight while dried grapes certain 20% water by weight. What is the weight of any grapes available from 20kg of fresh grapes?

Asked In TCS Submited By-- Deblina Manna (1 Month ago)

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(#M40025970) TCS MATHS PUZZLE (38) Keep an EYE

What will be the last two digit of 1122^1122!

Asked In tcs Submited By-- TargetTCS 2014 (1 Month ago)

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(#M40026333) TCS MATHS PUZZLE (38) Keep an EYE

While on your way to the movie 'megamind', you come across an apartment numbered 1911. You realize that the sum of any three consecutive digits of this number is 11. You wonder whether it is possible to construct larger numbers with this property. Your friend tells you it is possible and says that he has a 100 digit number N with this property and which starts with a 9. Find the last digit of N.
The last digit cannot be determined as N is not unique.
0.0
1
9
8

Asked In tcs Submited By-- UN (1 Month ago)

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(#M40026351) TCS MATHS PUZZLE (38) Keep an EYE

Perimeter of triangle and pentagon are equalfind the ratio of there areas??

Asked In tcs Submited By-- Uday Singh (1 Month ago)

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(#M40012373) TCS MATHS PUZZLE Series Problem (37) Keep an EYE

50!/(16^15) Then What is the reminder?

Asked In TCS Submited By-- Amir Sohel (1 year ago)

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(#M40012659) TCS MATHS PUZZLE TCS Apti Questions (37) Keep an EYE

hi guyz !! ... i m placed in TCS .. and following are some of the ques. which came in my apti..

1) If X^Y denotes X raised to the power of Y, find out last two
digits of (2957^3661)+(3081^3643)
Options
o 42
o 38
o 98
o 22

sol. 98 is the ans
7^1 is 7
and
5*1=5
so last to digit of (2957^3661) is 57

same for
1^3 is 1
8*3=24 unit digit of 24 is 4
last 2 digit of(3081^3643) is 41
41+57=98....

2) race type ques . who is lying ? GAWRI

3)jake and paul after wat time did jake is 3km behind paul Ans : 19:30

4)form 6 digits from 1,2,3,4,5,6,7 last and second last must be even mumbers Ans:720

5)Ans: 2013!-1(repaeted for most of the people)

6)6 different chocolates 10 boxes how they can be arranged Ans : 10^6

7)if f(x) is a function for all real numbers x holds good for maximum of 2x+4 and 12+3x..then wat is the value of x so that f(x) is equal to 2x+4..Ans is -9

8)A series of book was published at 7 seven year intervals. When the seventh book was published the total some of publication year was 13,524. First book was published in??

SOL. sum of A.P ->Sn=n/2(2a+(n-1)d)
where Sn=13524(given),n=7,d=7

13524=7/2(2*a+(7-1)7)
a=1911

9)If m+n is divided by 12 leaves a reminder 8,If m-n is divided by 12 leaves a reminder 6,then If mn is divided by 6 what is the reminder? Ans. 1

10)3 trucks A,B,C
A loads 10 kg/min
B loads 13 1/3 kg/min
C unloads 5kg/min
If three simultaneously works then what is the time taken to load 2.4 tonnes?? Ans. 131 min.s

11)There was two problem on rolling of 3dice and what is the probability if the sum of outcome is 13,10 ?

ans. for 10=27/216 i.e. 1/8

for 13 = 21/216

12)if a divided by 5,3,2 respectively give the remainder 1,2,0.what is the no when is divided by 2 3, 5 ?

Ans. 1,0,4

13)how many 2's are there between 223 to 2222? ans. 823

14)In Loonyville, four people called Doctor, Engineer, Lawyer and
Architect follow the professions of doctor, engineer and architect.
However, none of them follow the profession indicated by their
name.
The architect has no pets. The engineer is very public spirited, but
has won no recognition or awards. Lawyer is a cricket fan. Engineer
plays golf regularly with Lawyer every Saturday, unless it rains.
Doctor is an only child. The mayor gave Architect an award for public
service. The Lawyer’s sister loves cooking. Engineer has a dog. The
architect’s only sporting interest is football.
What is the name of the Lawyer?
Options
o Architect
o Doctor
o Engineer
o Cannot be determined
Ans. Can't be deter.

15)farmer haS a rose garden ? 4 is the ans.

16) George can do work in 8hrs .... ? 1pm is ans.

17)in this question, A^B means A raised to the power B.If x*y^2*z

Asked In TCS Submited By-- UN (1 year ago)

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(#M40025699) TCS MATHS PUZZLE logic (37) Keep an EYE

In town of 300 people, 130 watch NDTV, 130 Watches Zoom and 130 Watches Sony. 52 Watch NDTV and Zoom.55 Watch Zoom and Sony and 50 Watch sony and Ndtv. 39 Watch none of these. then how many watch only one channel.
ans. a.13 b.260 c. 154 d. 160

Asked In Tcs Submited By-- Giri (1 Month ago)

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(#M40026338) TCS MATHS PUZZLE (37) Keep an EYE

When the polynomial 1-2x+3x^2-4x^3+..... -78x^78+79x^79 is divided by x-1, the remainder is
option
a) 39
b) -39
c) x+1
d) 41
e) 40

Asked In tcs Submited By-- UN (1 Month ago)

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(#M40024600) TCS MATHS PUZZLE (36) Keep an EYE

1.2.3 + 2.3.4 + 3.4.5 + 4.5.6 + ..... + 127.128.129 find the sum

Asked In TCS Submited By-- GAURAV JAISWAL (2 Months ago)

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(#M40024602) TCS MATHS PUZZLE (36) Keep an EYE

The ratio of the number of apples to oranges to pears is 7:11:9.
Timmy ate 21 fruits.
As a result, the ratio of the number of apples to oranges to pears
became 2:3:3. How many fruits were left ?

Asked In TCS Submited By-- GAURAV JAISWAL (2 Months ago)

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(#M40026217) TCS MATHS PUZZLE (36) Keep an EYE

Remainder when 97! is divided by 101????

Asked In tcs Submited By-- MD (1 Month ago)

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(#M40026311) TCS MATHS PUZZLE (36) Keep an EYE

1st set
20,6,22,12,15,3,5,8,12,6
2nd set
z,12,75,42,102,54,81,45
Both set follow same pattern.find z?

Asked In tcs Submited By-- MD (1 Month ago)

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(#M40013831) TCS MATHS PUZZLE (35) Keep an EYE

Consider the graph G0 with 3 components which are triangles. G0 has 9 vertices labeled
A to I and 9 edges (A, B), (B, C) … as shown below.
If each vertex of G0 is assigned a red or a green color, then we say that an edge is
colored if its ends have different colors.
Ajai and Rekha color the vertices of G0 in the following manner. Ajai proposes a color
(red or green) and Rekha chooses the vertex to apply this color. After 9 turns, all the
vertices of G0 are colored and the number of colored edges is counted.
Suppose Ajai would like to maximize the number of colored edges while Rekha would
like to minimize the number of colored edges. Assuming optimal play from both players,
how many edges will be colored? Explain ur reasoning.

Asked In Tcs Submited By-- gauthami (10 Months ago)

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(#M40024700) TCS MATHS PUZZLE (35) Keep an EYE

A group of twelve persons is to be seated around a circular table. There are only two women in the group find the probability that there is atleast three men between the two women.
(a)5/11
(b)7/12
(c)1/3
(d)2/9

Asked In tcs Submited By-- ashokkumar (2 Months ago)

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(#M40025679) TCS MATHS PUZZLE (35) Keep an EYE

Two equilateral triangles of sides 12cms are placed one on top of another,such that a six pointed star is formed. If the six vertices lie on the circle,what is the area of the circle not enclosed by the star?

Asked In Tcs Submited By-- MOUNIKA (1 Month ago)

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(#M40025791) TCS MATHS PUZZLE (35) Keep an EYE

An escalqtor is moving downwards . X takes 40 steps to reach bottom from top and Y takes 60 steps to reach top from bottom . The speeds of X and Y are equal . What is number of steps on the escalator from bottom to the top....?

Asked In tcs Submited By-- TargetTCS 2014 (1 Month ago)

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(#M40028158) TCS MATHS PUZZLE (35) Keep an EYE

A manufacturer manufactures 6 different flavors of chocolate. The chocolates are sold in boxes of 10. How many different boxes of chocolates can be made? (note: A box is considered different from other only if it contains a different number of chocolates of at least one type, regardless of the order)
option
A. 10^6! !
B. 3003! !
C. 3000! !
D. 6^10

Asked In TCS Submited By-- max (1 Month ago)

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(#M40023913) TCS MATHS PUZZLE (34) Keep an EYE

Ram and Shyam run a race of 2000 m.First,Ram gives shyam a start of 200 m and beats him by 30 s.Next, Ram gives Shyam a start of 3 min and is beaten by 1000 meters.Find time in which Ram and Shyam can run race separatedly.

Asked In Tcs Submited By-- Amisha Agarwal (2 Months ago)

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(#M40024415) TCS MATHS PUZZLE (34) Keep an EYE

3 doors a,b,c in a room each door is labelled as "way to freedom","way to death","door b is false"atleast one of the door is true one is false.which door is always true?

Asked In TCS Submited By-- karthik (2 Months ago)

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(#M40024422) TCS MATHS PUZZLE (34) Keep an EYE

Praveen Prasad an elevator starts with 5 passengers and stops at 5 diff floors of an apartment find the probability of all 5 passengers are of diff floors
option
a. 24/109
b. 55/412
c. 105/512
d. none

Asked In TCS Submited By-- Amit Kumar (2 Months ago)

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(#M40024618) TCS MATHS PUZZLE (34) Keep an EYE

Oranges can be packed in sets of 10 oranges in a box type A or 25 oranges in box type B.A carton comprising of 1000 oranges of type A and type B is packed. How many different combinations possible in the number of type A and type B boxes while organizing the oranges?
a)21 b)20 c)19 d)18

Asked In TCS Submited By-- sarika nayak (2 Months ago)

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(#M40024777) TCS MATHS PUZZLE (34) Keep an EYE

a and b run 1k.m race if a gives b start of 50m , a win by 14sec...if b gives a start of 22sec b win by 20m...find timen by a to complete the race

Asked In tcs Submited By-- Akhilesh Agrawal (2 Months ago)

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(#M40026328) TCS MATHS PUZZLE (34) Keep an EYE

Consider the function S(n) defined on positive integers n by
S(n) = n - rev (n)
where rev (n) is the number with the digits of n reversed
For example,
S(71) = 71 - 17 = 54,
S(36) = 36 - 63 = -27.
The sum S(10) + S(11) + ... + S(95) equals
279
468
0
126
351

Asked In tcs Submited By-- UN (1 Month ago)

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(#M40024605) TCS MATHS PUZZLE (33) Keep an EYE

Certain positive integers can have 3 properties:
1. the sum of the squares of their digits is 50
2.each digit is larger than the one to its left.
the product of the digits of the larger integer with the same properties is
option
a. 7
b. 25
c. 36
d. 48

Asked In TCS Submited By-- sarika nayak (2 Months ago)

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(#M40025797) TCS MATHS PUZZLE (33) Keep an EYE

3 PERSONS IS TO BE SEATED IN 9 SEATS SUCH THAT NO ONE SEAT ADGACENT TO EACH OTHER.HOW MANY WAY????

Asked In TCS Submited By-- juhe rawat (1 Month ago)

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(#M40001151) TCS MATHS PUZZLE A sheet of paper (32) Keep an EYE

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.
b)The first 26 statements are false and the rest are true.
c)The first 13 statements are true and the rest are false.
d)The odd numbered statements are true and the even numbered are false.

Asked In tcs Submited By-- shobha goutam (2 years ago)

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(#M40011701) TCS MATHS PUZZLE (32) Keep an EYE

there are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?

Asked In tcs Submited By-- sruthi kaipa (1 year ago)

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(#M40012496) TCS MATHS PUZZLE number system (32) Keep an EYE

what will be the next 3-digit in the series 1123783131...

Asked In TCS Submited By-- Puviyarasi (1 year ago)

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(#M40025431) TCS MATHS PUZZLE (32) Keep an EYE

how many 3 digit no which on dividing by 5,6,7 leaves remainder 2,3,5

Asked In tcs Submited By-- vertika srivastav (2 Months ago)

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(#M40026417) TCS MATHS PUZZLE (32) Keep an EYE

How many positive divisors of 20020^12 have 7 as their units digit?

Asked In tcs Submited By-- UN (1 Month ago)

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(#M40028873) TCS MATHS PUZZLE (32) Keep an EYE

There are 2 persons A and B. A select 2 numbers from the set { 3,4,5,6,7}. There are 2 sets { 5,7,19,23,34} and {13,24,4,56,11}. B selects 1 no. from any one of the set . What is the probability that the no. chosen by B is greater than the sum of the 2 numbers selected by A.

Asked In TCS Submited By-- Ankit Bansal (1 Month ago)

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(#M40012360) TCS MATHS PUZZLE (31) Keep an EYE

what is the remainder when 50! Divided by 47^2.

Asked In tcs Submited By-- div (1 year ago)

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