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Urgent unsolved maths questions Open an eye to make a puzzle urgent

(#M40011242) TCS MATHS PUZZLE (889) 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 Submited By-- UN (4 years ago)

Puzzle Status: Unsolved Read Solution (127)

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(#M40002444) TCS MATHS PUZZLE (148) 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
Option
a) 154cm
b) 171cm
c) 158 cm
d) 160cm

Asked In TCS Submited By-- Sivakumar (5 years ago)

Puzzle Status: Unsolved Read Solution (24)

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(#M40094424) IBM MATHS PUZZLE number series (122) Keep an EYE

1) 3,8,12,48,29

2) 48,24,35,7,16,8,7,15,80

3) 13,24,36,23,34,

4) 18, 24, 5, 21, 27, 8, 17, 23, 4, 24, 30, ?

5) 100, 98, 95, 90, 83,?

6) 1, 3, 3, 2, 8, 10, 3, 4, 12, 4, 8, ?

7) 49, 7, 98, 16, 4, 48, 9, 3, 36, 25, 5, ?

8) 9, 12, 4, 8, 12, 15, 5, 9, 3, 6, 2, 6, 6, 9, ?

9) 1,1,1,2,2,2,3,4,3,3,5,6,?

10) 33, 8, 41, 21, 67, 72, 47, 119, 124, ?

11) 1/7, 3/4, 4/9, 5/6, 7/11, 7/8, ?

12) -16,-8,4,24,12,-6,-40,?

13) -15,-14,34,32,-42,-39,58,54,-61,?

14) 13,24,36,23,34,56,33,44,96,43,54,...

15) 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,43/4,?

16) 9,15,26/3,29/2,25/3,14,8,26/2,23/3

17) 4,11,66,74,370,379

18) 2/3,5/3,32/6,7 2/3

19) 5,16,22,68,28,87,34

20) -5 1 -11 23 29 17 -20 -14

21) 1.8,3,0,6,2.5,5,0.5,3.4,2,1.7,4.8,6,?

22) 7776, 625, 64,9,?

23) 7,-14,-4,15,-30,-20,-21,?

24) 7,-35, -34, -3, 15, 16, ?

25) 4,2,4,8,6,8,,16,?

26) 3,7,10,8,4,12,0,5,5,3,2,?

27) 3,2,1,4,5,4,5,1,0,6,3,2,?

28) 507,169,248,62,36,12,168,42,168,?

29) 2,3,10,15,26,35,50,?

30) 7,4,6,3,4.5,1.5,2.25,?

31) 7.2,2.2,3.2,16,11,12,60,55,56,?

32) 0.7,1.2,1.2,2.2,1.7,3.2,2.2,4.2,?

33) 1,3,3,2,8,10,3,4,12,4,8,?

34) 8,0.5,16,4,15,0.3,50,4.5,6,0.2,30,?

35) 5/6,1/3,1/2,1/2,2/8,1/4,5/6,1/6,2/3,1/2,1/3,?

36) 3/2,9/4,9/4,7/2,49/2,49/4,4/3,16/9,16/9,8/3,?

37) 2,6,5,14,11,26,17,?

38) 6,18,21,8,11,33,2,6,9,5,8,24,7,21,?

39) 9,4,16,6,36,21,441,?

40) 7,-35,-34,-3,15,16,4,?

41) 2,7,-35,7,12,-60,5,10,?

42) 1.25,9,22.5,0.75,8.5,22,0.25,8?

43) -12,6,-15,-5,28,-14,9,3,-18,?

44) 7/6,3/2,1,5/6,13/6,5/2

45) 48,24,35,7,16,8,75,1580,40

46) 0,1,2,0.5,2,2,2,2,4,3,2

47) 2,3,10,15,26

48) 3/2, 2 �, 2 �, 3 �, 12 �, 12 �, 1 1/3, 1 7/9, 1 7/9, 2 2/3, ?

49) 13,3,2,8,10,3,4,12,4,8, ?

50) 5,6,6,5,6.5,8,7,9.5, ?

51) 3,11,31,69...

52) 4,2,36,4,5,1,36,16,6,3,81,?

53) 7,6,5,4,6,5,9,?

54) 3,12,29,?

55) 3,8,12,48,29?

56) 1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,49/4,7,...?

57) 56,89,33,21,57,88,35,19,60,85,30,...?

58) 1/2,5/4,2,11/4,7/2,..?

59) 0.5,1.25,2,2.75,3.5,.?

60) 5,50,10,40,15,30,20,20,...?

61) 11,17,-6,-13,24,30,-19,-26,20,...?

62) 38,36,76,35,114,34,..?

63) 18,6,24,4,30,10,12,2,6,...?

64) 1.25,3.71,1.50,1,8.1,1.75,-1,9.1,2.00,...?

65) 9,3,6,21,9,12,33,15,18,45,21,24,...?

66) 12,3,15,14,6,19,16,9,23,18,12,...

67) -15,-14,34,32,42,39,58,54,61

68) 8,5,9,7,2,25,51,16,8,6,...

69) 13,21,32,49,78,131,...

70) 507,169,248,62,36,12,168,42,168,....

Asked In IBM Submited By-- sravan (1 year ago)

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(#M40030057) TCS MATHS PUZZLE (118) Keep an EYE

A person meets a train at a railway station coming daily at a particular time. One day he is late by 30 minutes, and he meets the train 5 kms before the station. If his speed is 12 kmph, what is the speed of the train?

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

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(#M40035213) TCS MATHS PUZZLE puzzle (115) Keep an EYE

You have Rs.2 with u.You have to play a game in which if u win u will get 1 Re. and if lost you will lose 1 Re.You can lose up to 3 times. But if u get 5 Rs, you are left out of the game. In how many ways is this possible?

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

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(#M40104187) TCS MATHS PUZZLE (115) Keep an EYE

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

Asked In TCS Submited By-- Kalyani Reddy (1 year ago)

Puzzle Status: Unsolved Read Solution (11)

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(#M40038816) TCS MATHS PUZZLE Progressions (108) Keep an EYE

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.

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

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(#M40088831) CTS MATHS PUZZLE English (103) Keep an EYE

1.) His recent success ………. him more arrogant than what he used to be.
a.) Make b.) have make him c.) has made d.) was making

2.) Hardly a day goes ……. When I don’t remember all those great people who had gathered ………… my home on his birthday.
a.) Out, in b.) by, in c.) through, on d.) for on

3.) The institute reserves the right to make any change in the items ………….. in the itinerary.
a.) Contains b.) Contained c.) Contain d.) includes

4.) Do not move towards the car ……… you’ve finished your milk.
a.) As b.) while c.) until d.) inspite

5.) Rakesh had bought the book for me. I …………. him Rs. 500.
a.) Owe b.) lend c.) give d.) borrow

6.) Anita was not happy with the bank’s interest rate policy. They offered a fixed rate on all loans while she wanted a ……………… rate.
a.) Moving b.) Floating c.) Free d.) Market

7.) The student searched ……………. the book, he was certain that it was somewhere ………. his cupboard.
a.) Of, in b.) for, On c.) for, in d.) in, in

8.) The opinions ……… by various individuals regarding the problems faced by them helped the Government in formulating changes.
a.) Expresses b.) Expressed c.) Expression d.) Expressive

9.) If Mr. Sharma didn’t stop hunting ………. Better deals now, he would lose the opportunity …….. buy this attractive mobile phone.
a.) For, to b.) In, to c.) To, for d.) For, that

10.) Suddenly, the television blacked out as there was some issue in the signal …………….
a.) Transformation b.) transfer c.) transmission d.) transition

11.) The monks wanders here and there in search of silence and peace. His lives a ……….. life.
a.) Nomadic b.) Boring c.) Religious d.) Busy

12.) Astronauts have completed a major mission in space. It was ………. a replacement of the fuel tank in one of the space stations.
a.) Concerns b.) Concern c.) Concerning d.) Concerned

13.) “We need to call this ……………, ” Monika demanded.
a.) Out b.) at c.) off d.) away

14.) Aspirations of minorities cannot be kept in check ………………. the gun.
a.) With b.) From c.) By d.) Through e.) Under

15.) The film tells the story of a merchant who spends nearly two decades in prison for the murder of his wife and her lover ……….. his claims of innocence.
a.) Though b.) inspite c.) despite d.) through

16.) The great epics of ancient India took shape in the course of several hundred years, and …………. many additions were made to them.
a.) Following b.) Then c.) Subsequently d.) Otherwise

17.) Usually the room tariff in this hotel is higher. At present, it is low because of the ………… season.
a.) Peak b.) off c.) down d.) slow e.) full

18.) A contract must be honored. You cannot …………. on it.
a.) Back out b.) Give up c.) Renege d.) renounce

19.) Rima avoids travelling by flight as she feels afraid during take ……….. and landing.
a.) On b.) up c.) off d.) away

20.) The market was full of people ……….. attractive clothes of different styles.
a.) Having b.) Showing c.) Wearing d.) Watching

21.) We were thinking ………… it …………… something like a requiem for our age.
a.) For, because b.) for, as c.) of, since d.) of, as

Asked In CTS Submited By-- R Chauhan (1 year ago)

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(#M40019905) TCS MATHS PUZZLE questns by tcs after open sesame test (95) 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 years ago)

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(#M40039088) TCS MATHS PUZZLE number system (90) Keep an EYE

what is the last two digits of 1122^1122!

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

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(#M40038919) TCS MATHS PUZZLE aptitude question (89) Keep an EYE

The price of a commodity (in rupees per kilogram) is 100+0.1n on the nth day of 2007 (n=1,2,....100), and then remains constant. On the other hand, the price of another commodity ( in rupees per kilogram) is 89+0.15n, on the nth day of 2007 (n= 1,2,...365). On which date in 2007, will the prices of these two commodities be equal?

may 21
april 11
april 10
may 20

Asked In TCS Submited By-- Niveditha Ravichandran (2 years ago)

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(#M40039900) TCS MATHS PUZZLE speed,time and distance (87) Keep an EYE

Q. A racehorse starts chasing a wild pony 3 hours after the pony bolts the stable. The pony runs through the entire country of Alb.Texas jumping 3 streams and crossing four 10 meter roads. The racehorse finally catches up with the pony after four hours by the time the sun had set and the moon was up in the sky for 4 hours. If the average speed of the racehorse is 73 kmph then average speed of the wild pony is ____ kmph.
a)54.75
b)42.71
c)31.29
c)41.71

6. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? a. 8
37.80
5
40

ANS :37.80

Asked In TCS Submited By-- DIPAK TIWARI (2 years ago)

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(#M40026134) TCS MATHS PUZZLE Time & Work (86) Keep an EYE

20 men can do a piece of work in 30 days. After how many days should 5 men leave so that the work is completed in 35days?

Asked In TCS Submited By-- Punam Saha (2 years ago)

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(#M40033769) TCS MATHS PUZZLE speed and distance (85) Keep an EYE

A and B runs a 1 km race.If A gives B a start of 50 m,A wins by 14 secand if A gives B a start of 22 seconds,B wins by 20 metres.Find the time taken by A to run 1 km.

Asked In TCS Submited By-- sangeeta singh (2 years ago)

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(#M40017449) IBM MATHS PUZZLE Number series (82) Keep an EYE

IBM series questions asked in 1 FEB 2013
1)1,3,4,5,13,2,3,4,2,2,1,2,3....

2)7,19,43,91,187

3)2,3,10,15,26,35,50

4)13,14,15,16,18,19,20,22,23.......

5)2,3,6,13,28........

6)5,10,9,3,6,5,4,8,7,7.....

7)5,17,35,65

8)1,0.5,1,0.5,2,5,0.9,0.3,1.7,10,12,0.25,12.25....

9)1,7,9,15............

10)9,15,26/3,29/2,25/3,14,8,26/2,23,3...........

11)18,6,24,4,30,10,12,2,6............

12)44,4.4,0.88,0.264,0.1056.............

13)9,3,24,4,9,3,36,6,9,3,30

14)-13,-14,34,32,-42,-39,58,54.........

Asked In IBM Submited By-- veerasekhar (3 years ago)

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(#M40026313) TCS MATHS PUZZLE (82) 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?

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

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(#M40021727) TCS MATHS PUZZLE tcs question (81) Keep an EYE

Eric throw 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 score will be strictly higher than eric score?

Asked In TCS Submited By-- Pradip Chinchodkar (3 years ago)

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(#M40032885) IBM MATHS PUZZLE exact answers plz plz (81) Keep an EYE

1) Can we use "Hi"(salutation), in Buisiness letters or emails yes/no
2) Enclosures
3) meaning 3 attachments are there in addition to the letter. true or false?

Q. What does sexist language means?
(A)Language indicating towards woman
(B)Information conveyed as being a male
(C)language indicating difference between man and woman

3) how to end business letter
- regards
- sincerely
- respectfully
- a & c

4) Which is in the correct sense??
(A)This child, who was misdiagnosed, thrive by spirit.
(B)This child, who was misdiagnosed, thrives by spirit.
(C)This child, who was misdiagnosed, thrived by spirit.

5) Ranny was with sally n me.
Ranny was with sally n I.
Ranny was with me n Sally.

6) It is a breach of etiquette to have documents signed by administrative assistant on behalf of administrative officer . (T/F)

7) Which of the following will you choose for a short notice to change the lunch hours?
1)Specific details
2)Context and problem
3)Regarding lunch hours
4)All the above

8) kelly is a good babysitter.Qualified, professional and fun
1) dangling modifer
2) run on sentence
3) a sentence fragment

9) Is it necessary to include a table of contents regardless of the size of the document. true or false?

10)Name is Roger Smith, who is also the president. What is the proper salutation?
-Dear Mr. Roger Smith,
-Dear Mr. Roger:
-Dear Mr. Smith:
-Dear President Smith:

11) The coachy my best friend play with me everyday. Write the sentence using comma at appropriate position

12) In formal letter for better understanding
1. Repeat ideas with picture and all
2. repeat important ideas
3. Refrain from repeating ideas
4. One and two

13) In formal email personal introduction should be done.
1. After the body of letter
2. Within body of letter
3. At the start of body of letter

14) The question below consists of a pair of related words followed by four pair of words. Select the pair that best express the relation in the original pair: Deprecate: Credit
Option
a. enhance: disparage
b. bait: heckle
c. unfair: biased
d. discourage: force

15) Convert into passive/active voice.
1. They objected to my proposal
2. People believe him to be innocent
3. The invigilator was reading out the instructions

16)Convert into direct/ indirect speech.
1. The preacher said, "Honesty is the best policy."
2. I said to my father, "I am coming back after two hours

17) Sign by blue ink is authentic if done by blue ink TRUE or FALSE

18) Which is the correct use of pronoun ??
(a) Each executive
(b) Few Of the executive
(c) One Of the Executive
(d) All Of the above

19) Which is correct?
(a) Dear President Smith;
(b) Dear Mr Smith;
(c) Dear Mr Smith:

20) In formal document prepared for meeting should contain
1. Purpose of document
2. User expection from the document
3. Brief details n content about document
4. All of these

21) Correct form of English:
a) Samuel was with Susan and I
b) Samuel was with Susan and me
c) Samuel was with I and Susan
d) Samuel was with me and Susan
e) None of these

22) Find the active voice sentence below...
1)The car has driven by him
2)He cleaned the car
3)It will be more complex algorithm

23 ) Is that emotions used in formal emails ??
True/ false

24) Miss Sheela is dancer. Funny , arrogant and stylish. find type of error
- run out error
- sentence fragment (correct)

25) what to include in business letter
- purpose
- reason of writing
- For whom intended
- all of above

26) Is it possible to not write document content if it exceeds the length?

27) Sign by blue ink is authentic if done by blue ink TRUE or FALSE

Q. Introduction should be added
(A) before brainstorm
(B) same time of body of letter
(C) at end of letter

28) Introducing a man, a woman said, "He is the only son of my mother's mother". How is the woman related to the man?

Asked In IBM Submited By-- smita (2 years ago)

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(#M40033572) AMCAT MATHS PUZZLE english (81) Keep an EYE

Q3. In the sentence there is a bold word or phrase. One of the words
or phrases given in the options conveys almost the same meaning as
the bold word or phrase in the sentence. Select that option which is
nearest in meaning.
It is preposterous on your part to look for a job without first completing
your education.
a. Wise
b. Imperative
c. Advisable
d. Most admirable
e. Very absurd


In the following questiones, fill in the blank space.

Q4. The success that he has gained, though striking enough, does not,
however, commensurate . . . . the efforts made by him.
a. About
b. From
c. With
d. Beside
e. Over


Q5. Vinod took his meals after he . . . .
a. Had completed his work
b. Had been completing his work
c. Was completing his work
d. Had been completed his work
e. Had got completed his work


In the following questions, select the word or phrase that is similar in
meaning to the given word.

Q6. Nonchalance
a. Neutrality
b. Indifference
c. All-knowing
d. Ignorance
e. Untimeliness


Q7. Conceal
a. Hide
b. Seal
c. Ceiling
d. Horrifying
Q8. Read the sentence to find out whether there is any grammatical
error in it. The error, if any, will be in one part of the sentence.
The letter of that part is the answer. If there is no error, the answer is 'D'.
(Ignore - the errors of punctuation,if any)
(A) The whole thing moves/ (B) around the concept of building a small
dynamic/(C) organisation into a larger one./(D) No error.
a. (A)
b. (B)
c. (C )
d. (D)


Q9. In the question a part of the sentence is italicised. Alternatives to
the italicised part is given which may improve the sentence. Choose
the correct alternative. In case no improvement is needed. Option 'D'
is the answer.
She gave most of her time to music.
a. spent
b. lent
c. devoted
d. No improvement


Q10. The given sentences when properly sequenced, form a coherent
paragraph. Each sentence is labelled with a number. Choose the most
logical order of sentences from among the four given choices to
construct a coherent paragraph.
1. He was so busy with them that he did not get time to eat. 2.
Thousands of people came to him and asked different types of questions.
3. No one cared to see that he had his food or rest that night. 4. Swami
Vivekanand once stayed in a small village.
a. 2341
b. 3214
c. 4213
d. 4231
Answer the question based on the given passage

Management is a set of processes that can keep a complicated system of
people and technology running smoothly. The most important aspects of
management include planning, budgeting, organising, staffing,
controlling, and problem-solving. Leadership is a set of processes that
creates organisations in the first place or adapts them to significantly
changing circumstances. Leadership defines what the future should look
like, aligns people with that vision, and inspires them to make it happen
despite the obstacles. This distinction is absolutely crucial for our
purposes here: Successful transformation is 70 to 90 per cent leadership
and only 10 to 30 percent management. Yet for historical reasons, many
organisations today don't have much leadership. And almost everyone
thinks about the problem here as one of managing change. For most of
this country, as we created thousands and thousands of large
organisations for the first time in human history, we didn't have enough
good managers to keep all those bureaucracies functioning. So many
companies and universities developed management programs and
hundreds and thousands of people were encouraged to learn management
on the job. And they did. But, people were taught little about leadership.
To some degree, management was emphasised because it's easier to
teach than leadership. But even more so, management was the main item
on the twentieth-century agenda because that's what was needed. For
every entrepreneur or business builder who was a leader, we needed
hundreds of managers to run their ever-growing enterprises.
Unfortunately for us today, this emphasis on management has often been
institutionalised in corporate cultures that discourage employees from
learning how to lead. Ironically, past success is usually the key ingredient
in producing this outcome. The syndrome, as I have observed it on many
occasions, goes like this: success creates some degree of marked
dominance which in turn produces much growth. After a while keeping
the ever-larger organisation under control becomes the primary
challenge. So attention turns inward and managerial competencies are
nurtured. With a strong emphasis on management but not leadership,
bureaucracy and an inward focus takeover. But with continued success,
the result mostly of market dominance, the problem often goes
unaddressed and an unhealthy arrogance begins to evolve. All of these
characteristics then make any transformation effort much more difficult.
Arrogant managers can over-evaluate their current performance and
competitive position, listen poorly and learn slowly. Inwardly focused
employees can have difficulty seeing the very forces that present threats
and opportunities. Bureaucratic cultures can smother those who want to
respond to shifting conditions. And the lack of leadership leaves no force
inside these organisations to break out of the morass.

Q11. Why did companies and universities develop programmes to
prepare managers in such a large number?
a. (A) Companies and universities wanted to generate funds through these
programmes
b. (B) The large number of organisations were created as they needed
managers in good number
c. (C) Organisations did not want to spend their scarce resources in
training managers
d. (D) Organisations wanted to create communication network through
trained managers

Q12. How has the author defined management?
a. It is the process of adapting organisations to changing circumstances.
b. It is the system of aligning people with the direction it has taken.
c. It refers to creating a vision to help direct the change effectively.
d. Creating better performance through customer orientation.

Q13. What is the historical reason for many organisations not having
leadership?
a. A view that leaders are born, they are not made
b. Leaders lack managerial skills and organisations need managers
c. Leaders are weak in carrying out traditional functions of management
d. Leaders allow too much complacency in organisations


Q14. Which of the following characteristics help organisations in their
transformation efforts?
a. Emphasis on leadership but not management
b. A strong and dogmatic culture
c. Bureaucratic and inward looking approach
d. Failing to acknowledge the value of customers and shareholders


Q15. Which of the following is similar in meaning of the word 'smother'
as used in the passage?
a. Suppress
b. Encourage
c. Instigate
d. Criticise

Asked In AMCAT Submited By-- ravi singh kurmvanshi (2 years ago)

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(#M40033765) TCS MATHS PUZZLE tcs previous question (81) Keep an EYE

A and B plays a game of dice between them. The consist of colors on their faces ( instead of numbers). When the dices are thrown, A wins if both show the same color. Otherwise B wins. One die has 4 re face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?
a)3 red and 3 blue b) 2 red and remaining blue c) 6 red and 2 blue d) 4 red and 2 blue

Asked In TCS Submited By-- bharath kumar (2 years ago)

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(#M40039531) TCS MATHS PUZZLE tcs question (81) Keep an EYE

what is the value of 77!*(77!-2*54!)^3/(77!+54!)^3+54!*(2*77!-54!)^3/(77!+54!)^3

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

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(#M40012358) TCS MATHS PUZZLE (80) Keep an EYE

In a staircase, there are 10 steps. A child is attempting to climb the staircase. Each time, she can either make 1 step or 2 steps. In how many different ways can she climb the stair case?
a. 10 b. 21 c. 36 d. None of these.

Asked In TCS Submited By-- sukrati pandey (4 years ago)

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(#M40032123) AMCAT MATHS PUZZLE (79) Keep an EYE

Que: Choose the correct answer
A queue is implemented by a linear array of size 10 (and not as a circularly connected array). Front and Rear are represented as an index in the array. To add an element, the rear index is incremented and the element is added. To delete an element, the front index is incremented. The following operations are done on an empty queue.
ADD 1; DELETE; ADD 2; ADD 3; ADD 4; DELETE, DELETE
After this set of operations, what is the maximum capacity of the queue?
Option
a) 6
b) 7
c) 10
d) None of these

Asked In AMCAT Submited By-- Aashu (2 years ago)

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(#M40035115) AMCAT MATHS PUZZLE para (79) Keep an EYE

SINCE the late 1970s when the technology for sex determination first came into being, sex selective abortion has unleashed a saga of horror. Experts are calling it "sanitised barbarism". Demographic trends indicate the country is fast heading towards a million female foetuses aborted each year.
Although foetal sex determination and sex selection is a criminal offence in India, the practice is rampant. Private clinics with ultrasound machines are doing brisk business. Everywhere, people are paying to know the sex of an unborn child. And paying more to abort the female child. The technology has even reached remote areas through mobile clinics. Dr. Puneet Bedi, obstetrician and specialist in foetal medicine, says these days he hardly sees a family with two daughters. People are getting sex determination done even for the first child, he says.
Spreading like a virus
A recent media workshop on the issue of sex selection and female foeticide brought home the extent of the problem. Held in Agra in February, the workshop was organised by UNICEF, Business Community Foundation, and the Centre for Advocacy and Research. Doctors, social scientists, researchers, activists, bureaucrats, journalists told their stories of what they were doing to fight the problem.
If the 1991 Census showed that two districts had a child sex ratio (number of girls per thousand boys) less than 850; by 2001 it was 51 districts. Child rights activist Dr. Sabu George says foeticide is the most extreme form of violence against women. "Today a girl is several times more likely to be eliminated before birth than die of various causes in the first year. Nature intended the womb to be a safe space. Today, doctors have made it the most unsafe space for the female child," he says. He believes that doctors must be held responsible — "They have aggressively promoted the misuse of technology and legitimised foeticide."
Researchers and scholars use hard-hitting analogy to emphasise the extent of the problem. Dr. Satish Agnihotri, senior IAS officer and scholar who has done extensive research on the issue, calls the technology "a weapon of mass destruction". Dr. Bedi refers to it as genocide: "More than 6 million killed in 20 years. That's the number of Jews killed in the Holocaust."
Related issues
Foeticide is also one of the most common causes of maternal mortality. The sex of the foetus can be determined only around 14-16 weeks. This means most sex selective abortions are late. Abortion after 20 weeks is illegal in India. Donna Fernandes, Vimochana, a Bangalore-based NGO, says foeticide is related to a host of other social problems as varied as privatisation of medical education and dowry. Karnataka has the highest number of private medical colleges. Healthcare turning commodity has led to terrifying consequences. Adds Fernandes, "Wherever green revolution has happened foeticide has increased. With more landholdings and wealth inheritance dowry has increased. Daughters are considered an economic liability. Today, people don't want their daughters to study higher — a more well-educated groom will demand more dowry."
Ironically, as income levels increase, sex determination and sex selection is increasing. The most influential pockets have the worst sex ratios. Take Punjab for instance — 793 girls for every 1,000 boys against the national figure of 927. Or South Delhi — one of the most affluent localities of the Capital — 760. According to Satara-based advocate Varsha Deshpande, small families have come at the cost of the girl child.
In patriarchal States like Rajasthan where infanticide has existed for centuries, this new technology has many takers. Meena Sharma, 27, television journalist from Rajasthan, who did a series of sting operations across four States last year, says, "Today, people want to pretend they are modern and that they do not discriminate between a girl and a boy. Yet, they will not hesitate to quietly go to the next village and get an ultrasound done."
Sharma was determined to expose the widespread malpractice. She travelled with pregnant women as "decoys" across four States and more than 13,000 km to do a series of sting operations. She says more than 100 doctors of the 140 they met were ready to do a sex selective abortion, some as late as the seventh month. "We were shocked at the greed we saw — doctors did not even ask why we wanted to abort, far from dissuading us from doing so," she says.
What's the solution? Varsha Deshpande says the PCPNDT Act (Pre-Conception and Pre-Natal Diagnostic Techniques — Regulation and Prevention of Misuse) is very well conceived and easy to use. "We have done 17 sting operations across Maharashtra and got action taken against more than 25 doctors," says Varsha. She adds that other laws for violence against women such as dowry, domestic violence, rape, put the control in the hands of the police which is biased. Therefore, even though the law exists, offenders get away. This law preventing sex determination and sex selection is much easier to use, she says.
Regulating technology
Akhila Sivadas, Centre for Advocacy and Research, Delhi, agrees that the law is very well conceived and the need of the hour is legal literacy to ensure the law is implemented. "The demand and supply debate has been going on for some time. Doctors say there is a social demand and they are only fulfilling it. They argue that social attitudes must change. However, in this case supply fuels demand. Technology will have to be regulated. Technology in the hands of greedy, vested interests, cannot be neutral. There is a law to prevent misuse and we must be able to use it," she says. CFAR is currently partnering with local NGOs in six districts of Rajasthan to help ensure implementation of the law.
On the "demand" side, experts such as Dr. Agnihotri argue that women's participation in workforce, having disposable incomes and making a contribution to larger society will make a difference to how women are seen. Youth icons and role models such as Sania Mirza are making an impact, he says.
Others feel there needs to be widespread visible contempt and anger in society against this "genocide" — "the kind we saw against the Nithari killings," says Dr. Bedi. "Today nobody can say female foeticide is not their problem." Time we all did our bit to help save the girl child. Time's running out.

1)what does the word 'sanitised' imply in the 1st para of passage?
a)unforgivable
b)legtimate
c)free from dirt
d)none of these

2)which to people suggest 2 similar problem
a)agnihotri and george
b)bedi and agnihotri
c)george and bedi
d)george and sivadas

3)which demand does the author refer to in para 5
a)demand for principled doctor
b)demand for high income jobs for women
c)demand for youths
d)demand for sex determination and demand

Asked In AMCAT Submited By-- Praveen kumar (2 years ago)

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(#M40039169) TCS MATHS PUZZLE probability (79) Keep an EYE

4 persons roll a dice. what is the probability that atleast two of them get the same number?

Asked In TCS Submited By-- vivek praful (2 years ago)

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(#M40038641) TCS MATHS PUZZLE (78) Keep an EYE

2) How many four digits are formed such that the digits are in decreasing order

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

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(#M40025970) TCS MATHS PUZZLE (76) Keep an EYE

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

Asked In TCS Submited By-- TargetTCS 2014 (2 years ago)

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(#M40029951) CTS MATHS PUZZLE (76) Keep an EYE

1) (1000 1111)2=( ? )10

2) A cube is coloured orange on one face , pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. Now, answer the following questions based on the above statements:
(i) How many cubes have at least one face coloured pink?
option
A.6 B. 9
C.16 D. 25

(ii) How many cubes have all the faces uncoloured?
option
A.24 B.36
C.48 D. 64

(iii) How many cubes have at least two faces coloured ?
option
A.19 B.20
C.21 D. 23

(iv) How many cubes are coloured orange on one face and have the remaining faces uncoloured ?
option
A.19 B. 12
C.14 D. 16

(v) How many cubes one coloured pink ?
A.8 B.10
C.12 D.16

Asked In CTS Submited By-- ISITA PAL (2 years ago)

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(#M40033827) TCS MATHS PUZZLE tcs (76) Keep an EYE

How many five digit multiples of 3 are formed using 0, 1, 2, 3, 4, 6 and 7 without repetition?


1) 312
2) 3125
3) 120
4) 216

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

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(#M40039230) TCS MATHS PUZZLE (76) Keep an EYE

How many different integers can be expresed as the sum of three distinct numbers from the set{13,10,23,28,33,36,43,48}?

Asked In TCS Submited By-- Naveen kumar (2 years ago)

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(#M40039463) TCS MATHS PUZZLE (75) Keep an EYE

the shopkeeper charged 12 rupees for a bunch of chocolate. but i bargained to shopkeeper and got two extra ones, and that made them cost one rupee for dozen less then first asking price .

how many chocolates i recieved in 12 rupees ??
a)10
b)16
c)14
d)18

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

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(#M40028169) TCS MATHS PUZZLE circles (74) Keep an EYE

Two identical circles intersect so that their centers , and their point of which they intersect , form a square of 1cm. Find the area of the portion which is common to the two circles.

Asked In TCS Submited By-- PRIYA NAMDEO (2 years ago)

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(#M40026314) TCS MATHS PUZZLE (73) Keep an EYE

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

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

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(#M40030056) TCS MATHS PUZZLE (73) Keep an EYE

there are red,blue and green balls in a bag.to ensure that you pick at least one red ball from the bag without seeing the colour of the ball, you need to pick 26 balls. to ensure the same for blue and green balls,you need to pick out 21 and 24 balls, respectively. how many balls you need to pick out to ensure that you have at least two balls of each colour?

Asked In TCS Submited By-- Moitri Paul (2 years ago)

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(#M40035102) AMCAT MATHS PUZZLE para (73) Keep an EYE

Sixty years ago, on the evening of August 14, 1947, a few hours before Britain’s Indian Empire was formally divided into the nation-states of India and Pakistan, Lord Louis Mountbatten and his wife, Edwina, sat down in the viceregal mansion in New Delhi to watch the latest Bob Hope movie, “My Favorite Brunette.” Large parts of the subcontinent were descending into chaos, as the implications of partitioning the Indian Empire along religious lines became clear to the millions of Hindus, Muslims, and Sikhs caught on the wrong side of the border. In the next few months, some twelve million people would be uprooted and as many as a million murdered. But on that night in mid-August the bloodbath—and the fuller consequences of hasty imperial retreat—still lay in the future, and the Mountbattens probably felt they had earned their evening’s entertainment.
Mountbatten, the last viceroy of India, had arrived in New Delhi in March, 1947, charged with an almost impossible task. Irrevocably enfeebled by the Second World War, the British belatedly realized that they had to leave the subcontinent, which had spiralled out of their control through the nineteen-forties. But plans for brisk disengagement ignored messy realities on the ground. Mountbatten had a clear remit to transfer power to the Indians within fifteen months. Leaving India to God, or anarchy, as Mohandas Gandhi, the foremost Indian leader, exhorted, wasn’t a political option, however tempting. Mountbatten had to work hard to figure out how and to whom power was to be transferred.
The dominant political party, the Congress Party, took inspiration from Gandhi in claiming to be a secular organization, representing all four hundred million Indians. But many Muslim politicians saw it as a party of upper-caste Hindus and demanded a separate homeland for their hundred million co-religionists, who were intermingled with non-Muslim populations across the subcontinent’s villages, towns, and cities. Eventually, as in Palestine, the British saw partition along religious lines as the quickest way to the exit.
But sectarian riots in Punjab and Bengal dimmed hopes for a quick and dignified British withdrawal, and boded ill for India’s assumption of power. Not surprisingly, there were some notable absences at the Independence Day celebrations in New Delhi on August 15th. Gandhi, denouncing freedom from imperial rule as a “wooden loaf,” had remained in Calcutta, trying, with the force of his moral authority, to stop Hindus and Muslims from killing each other. His great rival Mohammed Ali Jinnah, who had fought bitterly for a separate homeland for Indian Muslims, was in Karachi, trying to hold together the precarious nation-state of Pakistan.
Nevertheless, the significance of the occasion was not lost on many. While the Mountbattens were sitting down to their Bob Hope movie, India’s constituent assembly was convening in New Delhi. The moment demanded grandiloquence, and Jawaharlal Nehru, Gandhi’s closest disciple and soon to be India’s first Prime Minister, provided it. “Long years ago, we made a tryst with destiny,” he said. “At the stroke of the midnight hour, while the world sleeps, India will awaken to life and freedom. A moment comes, which comes but rarely in history, when we step out from the old to the new, when an age ends, and when the soul of a nation, long suppressed, finds utterance.”
Posterity has enshrined this speech, as Nehru clearly intended. But today his quaint phrase “tryst with destiny” resonates ominously, so enduring have been the political and psychological scars of partition. The souls of the two new nation-states immediately found utterance in brutal enmity. In Punjab, armed vigilante groups, organized along religious lines and incited by local politicians, murdered countless people, abducting and raping thousands of women. Soon, India and Pakistan were fighting a war—the first of three—over the disputed territory of Kashmir. Gandhi, reduced to despair by the seemingly endless cycle of retaliatory mass murders and displacement, was shot dead in January, 1948, by a Hindu extremist who believed that the father of the Indian nation was too soft on Muslims. Jinnah, racked with tuberculosis and overwork, died a few months later, his dream of a secular Pakistan apparently buried with him.
Many of the seeds of postcolonial disorder in South Asia were sown much earlier, in two centuries of direct and indirect British rule, but, as book after book has demonstrated, nothing in the complex tragedy of partition was inevitable. In “Indian Summer” (Henry Holt; $30), Alex von Tunzelmann pays particular attention to how negotiations were shaped by an interplay of personalities. Von Tunzelmann goes on a bit too much about the Mountbattens’ open marriage and their connections to various British royals, toffs, and fops, but her account, unlike those of some of her fellow British historians, isn’t filtered by nostalgia. She summarizes bluntly the economic record of the British overlords, who, though never as rapacious and destructive as the Belgians in the Congo, damaged agriculture and retarded industrial growth in India through a blind faith in the “invisible hand” that supposedly regulated markets. Von Tunzelmann echoes Edmund Burke’s denunciation of the East India Company when she terms the empire’s corporate forerunner a “beast” whose “only object was money”; and she reminds readers that, in 1877, the year that Queen Victoria officially became Empress of India, a famine in the south killed five million people even as the Queen’s viceroy remained adamant that famine relief was a misguided policy.
Politically, too, British rule in India was deeply conservative, limiting Indian access to higher education, industry, and the civil service. Writing in the New York Tribune in the mid-nineteenth century, Karl Marx predicted that British colonials would prove to be the “unconscious tool” of a “social revolution” in a subcontinent stagnating under “Oriental despotism.” As it turned out, the British, while restricting an educated middle class, empowered a multitude of petty Oriental despots. (In 1947, there were five hundred and sixty-five of these feudatories, often called maharajas, running states as large as Belgium and as small as Central Park.)
1)in the view of author what is the phrase "tryst with destiny" symbolize today?
a)a celebration of indian independence
b)an inspirational quote
c)a reminder of gandhi's assassination
d) a symbol of ills of partion
2)why was gandhi assassinated?
a)bcoz he was favouring muslims
b)his assassin thought he was partial to muslims
c)he got killed in the violence after partition
d)none of above
3)what does the author imply about the future of pakistan?
a)it becomes a secular country
b)it becomes unsecular
c)it is unprosperous
d)it becomes arough state
4)the author persists on taking about the "Bob hope movie" in article. y?
a)bcoz the movie was classin on 1947
b)he thinks it caused the partion of sub-continent
c)he uses it to show the apathy of britishers to sub-continent
d)it was mountbatten's favourite movie

Asked In AMCAT Submited By-- Praveen kumar (2 years ago)

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(#M40000929) TCS MATHS PUZZLE (72) 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 (5 years ago)

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(#M40033617) TCS MATHS PUZZLE (72) Keep an EYE

Q).A Bag contains P white and Q black balls. Two players A and B alternately draw a ball from the bag, replacing the balls each time after the draw till one of them draws a white and wins the games. If A begins the game and the probability of A winning the game is 3 times that of B, than of the ratio P : Q is

a)3:4
b)4:3
c)2:1
d)1:2

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

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(#M40038336) TCS MATHS PUZZLE (72) Keep an EYE

A call center agent has a list of 305 phone nos of people in alphabetic order of names (but she does not have any of the names). she needs to quickly contacts 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.

Asked In TCS Submited By-- dhanashree awate (2 years ago)

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(#M40038889) TCS MATHS PUZZLE (72) Keep an EYE

My flight takes off at 2 AM from a place at 18 N 10 E landed 10 hours later at a place 36 N 70 W. What is local time when my plane landed?

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

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(#M40039378) AMCAT MATHS PUZZLE Number System (72) Keep an EYE

Find the maximum value of n such that 77! is perfectly divisible by 720^n.

Asked In AMCAT Submited By-- Swati (2 years ago)

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(#M40024413) TCS MATHS PUZZLE (71) 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 (3 years ago)

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(#M40098648) TCS MATHS PUZZLE Permutation (71) Keep an EYE

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 the position 1, and (5 4) means that the fifth has gone to position 4 and fourth 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. This 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 consider the permutation of 7 numbers (1457)(263) what is its order ( how many times must it be applied before the numbers appear in the original order) ?
a. 12
b. 7
c. 7!
d, 14

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

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(#M40025399) TCS MATHS PUZZLE time and distance (70) Keep an EYE

sunil reaches school everyday at 5pm to pick up his children.on sunday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 30min early.for how many min did children walk.?

Asked In TCS Submited By-- vijeta dass (3 years ago)

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(#M40038899) TCS MATHS PUZZLE arithmetic (70) Keep an EYE

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 <3, what can be said about the value of y?
a) 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<1/10
d) -1 < x < 0
32. 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) 5
b) 6
c) 9
d) 1
TCS Confidential
33. All faces of a cube with an eight-meter edge are painted red. If the cube is cut into smaller
cubes with a two-meter edge, how many of the two-meter cubes have paint on exactly one
face?
a) 24
b) 36
c) 48
d) 60
34. In a sequence of integers, A(n) = A(n-1) - A(n-2), where A(n) is the n th term in the sequence, n
is an integer and n >=3, A(1)=1,A(2)=1 . Calculate S(1000), where S(1000) is the sum of the first
1000 terms
a) 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 !

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

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(#M40039201) TCS MATHS PUZZLE series (70) Keep an EYE

1,5,6,25,30,31....
find the 99th term of the series

Asked In TCS Submited By-- Aayushi jain (2 years ago)

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(#M40039286) TCS MATHS PUZZLE probability (70) Keep an EYE

3) Old Women said no of days of my grandmother = no of months of my daughter is? And my age in no of years is = no of weeks of my granddaughter. Sum of their ages is 155, fine the age of old woman?

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

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(#M40039730) TCS MATHS PUZZLE PRO (70) Keep an EYE

There are 6561 cricket balls out of them 1 is heavy. Find the minimum no. of times the cricket balls have to be weighed for finding out the heavy ball.
A. 8 B. 5 C.7 D.9

Asked In TCS Submited By-- bhojraj dhakate (2 years ago)

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(#M40040000) TCS MATHS PUZZLE (70) Keep an EYE

I bought a certain number of marbles at a rate of 27 marbles for rupees 2 times M,where M is an integer.I divided these marbles into 2 parts of equal numbers,one part of which I sold at the rate of 13 marbles for RS M and the other at the rate of 14 marbles for Rs M.I spent and received an integral no of rupees,but bought the least number of marbles.How many did I buy?

Asked In TCS Submited By-- Geetika Batra (2 years ago)

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(#M40024256) TCS MATHS PUZZLE (69) Keep an EYE

The crew of a rowing team of 8 members is to be chosen from 12 men (M1, M2, …., M12) and 8 women (W1, W2,…., W8), such that there are two rows, each row occupying one the 2 sides of the boat and that each side must have 4 members including at least one women. Further it is also known W1 and M7 must be selected for one of its sides while M2, M3 and M10 must be selected for other side. What is the number of ways in which rowing team can be arranged.

Asked In TCS Submited By-- Ramya (3 years ago)

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(#M40024360) TCS MATHS PUZZLE (69) Keep an EYE

Ram and Sakil run a race of 2000 meters. First, Ram gives Sakil a start of 200 meters and beats him by one minute. Next, Ram gives Sakil a start of 6 minutes and is beaten by 1000 meters. Find the time in minutes in which Ram and Sakil can run the races separately.
option
a) 8,10
b) 10,18
c) 12,18
d) 10,12

Asked In TCS Submited By-- sridurgauppalapati (3 years ago)

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