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

(#M40011242) TCS MATHS PUZZLE (869) 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 (2 years ago)

Puzzle Status: Unsolved Read Solution (126)

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(#M40002444) TCS MATHS PUZZLE (145) 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 (3 years ago)

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(#M40035213) TCS MATHS PUZZLE puzzle (89) 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 (9 Months 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 (1 year ago)

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(#M40019905) TCS MATHS PUZZLE questns by tcs after open sesame test (81) 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 (1 year ago)

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(#M40039088) TCS MATHS PUZZLE number system (79) Keep an EYE

what is the last two digits of 1122^1122!

Asked In TCS Submited By-- vinitha (4 Months ago)

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(#M40000929) TCS MATHS PUZZLE (71) 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 (4 years ago)

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(#M40033765) TCS MATHS PUZZLE tcs previous question (69) 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 (11 Months ago)

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(#M40024413) TCS MATHS PUZZLE (68) 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 (1 year ago)

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(#M40030057) TCS MATHS PUZZLE (68) 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 (1 year ago)

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(#M40026314) TCS MATHS PUZZLE (67) Keep an EYE

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

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

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(#M40038817) TCS MATHS PUZZLE (66) Keep an EYE

Two vertical poles 2 meters and 8 meters high stand apart on a horizontal plane. The height in meters of the point of intersection of the lines joining the top of each pole to the bottom of the pole is.

a. 5.6
b. 1.8
c. 1.6
d. cannot be determined.

Asked In TCS Submited By-- Varsha (5 Months ago)

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(#M40039230) TCS MATHS PUZZLE (66) 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 (4 Months ago)

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(#M40026217) TCS MATHS PUZZLE (65) Keep an EYE

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

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

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(#M40033769) TCS MATHS PUZZLE speed and distance (65) 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 (11 Months ago)

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(#M40039169) TCS MATHS PUZZLE probability (65) 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 (4 Months ago)

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(#M40025970) TCS MATHS PUZZLE (63) Keep an EYE

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

Asked In TCS Submited By-- TargetTCS 2014 (1 year ago)

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(#M40028845) IBM MATHS PUZZLE (63) Keep an EYE

Q. Solve the following Sequence.

1. 33, 8, 41, 21, 67, 72, 47, 119, 124, ..... ?

2. 7, 4, 6, 3, 4.5, 1.5, 2.25, -0.75, ..... ?

3. 7, 6, 8, 5, 3, 7, ..... ?

4. 9, 18, 21, 25, 20, ..... ?

5. 30, 28, 25, 20, 34, 28, ..... ?

6. 3, 3, 4, 8, 10, 36, ..... ?

7. 3, 2, 1, 4, 5, 4, 1, 0, 6, 3, ..... ?

Asked In IBM Submited By-- Amit Naskar (1 year ago)

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(#M40039003) TCS MATHS PUZZLE number theory (62) Keep an EYE

find the sum of all four digit numbers that can be formed using the digits 0,1,2,3. no digits can be repeated.

Asked In TCS Submited By-- Thamizhselvam (4 Months ago)

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(#M40026134) TCS MATHS PUZZLE Time & Work (61) 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 (1 year ago)

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(#M40039201) TCS MATHS PUZZLE series (61) Keep an EYE

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

Asked In TCS Submited By-- Aayushi jain (4 Months ago)

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(#M40029951) CTS MATHS PUZZLE (60) 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 (1 year ago)

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(#M40038641) TCS MATHS PUZZLE (60) Keep an EYE

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

Asked In TCS Submited By-- sahitya (5 Months ago)

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(#M40011406) TCS MATHS PUZZLE (59) 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 (2 years ago)

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(#M40039376) TCS MATHS PUZZLE (59) Keep an EYE

The sum of first 40 terms 1,6, 7,12, 13,20 …. ?

Asked In TCS Submited By-- bhagwandas kushwaha (4 Months ago)

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(#M40036427) TCS MATHS PUZZLE sum of digits (58) Keep an EYE

what will be the sum of digits of 5^2010

Asked In TCS Submited By-- ronak (8 Months ago)

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(#M40027217) IBM MATHS PUZZLE pape (57) Keep an EYE

1) .7 , 1.2, 1.2 , 2.2 , 1.7, 3.2, 2.2, 4.2 , ? .7+.5=1.2+.5=1.7 ans 2.7
2) 81, 9^2, 162, 49, 7^2, 98, 25, 5^2, 50, 64, 8^2 ? 81*2=162 so,ans = 64*2= 128 3) 1, 1, 2, 4 , 6, 36, 39, 1521, ? 1+1=2 4+2=6 36+3=39 1521+4= 1525 (ans)
4) 2, 3, 10, 15, 26, 35,50, ?
5) 2, 8, 3, 27, 4, 64, 5, 125, 6, 216, ? See alternate no.s -> 2, 3, 4.ans=7
6) 2, 3, 6, 13, 28, ? *2-1, *2+0, *2+1.ans= 28*2+3= 59
7) 38, 36, 76, 35, 114, 34, ? Alternate -> 38+38=76 76+38=114 114+38=152 (ans) 1/5, 1/2, 1/3, 2/5 , 1, 2/3,3/5, 3/2, 1, 4/5, ? Alternate starting with 1/2 ; skip 2 and � -> 1/2, 1, 3/2 , 2 (ans =2)
9) 96, 64, 128, 192, 128, 256, 288, 192, ? Break such questions like this (96, 64, 128,) (192, 128, 256,) (288, 192, ?) First*2=second set's numbers. First*3= third set. Ans=128*3
10) 1370, 1320, 1070, -180, ? difference -> -50, -250, -1250 -> 50*5, 250*5, next will be -1250*5
11) 3, 2, 1, 4, 5, 4, 5, 1, 0, 6, 3, 2, ? 3,( 2, 1), 4,( 5, 4), 5, (1, 0), 6, (3, ?) second term one less . so ans = 2
12) 1 1 1 2 2 2 3 4 3 3 5 6 ? (1 1) 1 2 (2 2) 3 4 (3 3) 5 6 ? ans=4
13) 507, 169, 248, 62, 36, 12, 168, 42, 168 ? (507= 169*3), 248, 62, (36=12*3), 168, 42, (168=x*3)-> x=56 (ans)
14) 7.2, 2.2, 3.2, 16, 11, 12, 60, 55, 56, ? 7.2 + 8.8= 16+ 44= 60 + 2.2= 62.2 (ans) [not sure abt answer]
15) 2, 6, 5, 14, 11, 26, 17 , ? Alternate starting with first: +3 , +6 , +6 Now starting with second number: +8, +12 , +12 . so ans = 26+12
16) 115, 100, 86, 74, 65, 60, ? Difference : 15, 14, 12,9, 5 Now difference of these : 1, 2, 3, 4, next 5 So 5-5=0 Ans=60-0=60
17) 8 5 9 7 2 25 5 1 16 8 6 ? (8 -5=3 ) -> 3^2=9 (7-2=5)->5^2= 25 5 1 16 (8- 6=2) so answer 2^2=4 18) -5 1 -11 23 29 17 -20 -14 ? -5 (1 -12=-11) 23 (29 -12=17) -20 (-14 -12=-26) ans=-26
---------------------------------------------------------------------------------------------------------- SECTION 1: Number series: a)3,7,10,8,4,12,0,5,5,3,2,? Ans:(Divide the 3 elements into one group ) 3+7=10,8+4=12,0+5=5,so 3+2=5 is the answer. b)0,1,1,2,0.5,2,2,4,2,2,4,3,7,2,?
c)1,1,2,4,6,36,39,1521,?
d)7,4,6,3,4.5,1.5,2.25,? Ans: -0.75
e)2,9,5,49,11,169,? Ans:22
f)49,7,98,16,4,48,9,3,36,25,5,?
g)2,6,5,14,11,26,17,? Ans:60
h)7,0,1,8,5,12,9,26,3,23,2,? Ans:28
i)2,3,10,15,26,? Ans:35
j)5,16,22,68,28,87,36,106,11,? Ans:45
k)7776,625,64,9,?
l)13,24,36,23,34,56,33,44,96,43,54,? Ans:116
m)0,1,2,0.5,2,2,2,2,4,3,2,? Ans:3.5
n)18,24,5,21,27,8,17,23,4,24,30,? Ans:9
o)3,5,2,100,4,7,3,196,1,6,5,? Ans:144
p)8,5,9,7,2,25,5,1,16,8,6,? Ans:15
q)-3,6,1,-2,4,-1,-1,2,-3,? r)1/4,1/4,1/2,3/2,6,? Ans:30 I don't know the exact answer for these problems these are the answers I have got while I solved the paper..Please check it once then sec 2 was,

SECTION 2: Quants: They were mainly concentrate on following topics.They are, a)Time and distance. b)Time and work. c)Profit and loss. 4)Percentages. 5)Ratio and Proportion and 6)Ages.
1) 1/4, 1/4, 1/2, 3/2, 6, ?
2) 0.8, 1.8, 3.6, 3.6, 4.6, 9.2, 9.2, 10.2, ?
3) 22, 19.5, 21.45, 33, 30.5, 33.55, 44, 41.5, ?
4) 15 3/4, 16, 26, 9 1/5, 9, 19, 64 2/3, 65, 75, 30 3/8, ?
5) 3, 2, 1, 4, 5, 4, 5, 1, 0, 6, 3, ?
6) 3/2, 2 1/4, 9/4, 7/2, 12 1/4, 49/4, 4/3, 1 1/7, 16/9, ?
7) 18, 24, 5, 21, 27, 8, 17, 23, 4, 24, 30, ?
100, 98, 95, 90, 83, ?
9) 1, 3, 3, 2, 8, 10, 3, 4, 12, 4, 8, ?
10) 49, 7, 98, 16, 4, 48, 9, 3, 36, 25, 5, ?
11) 9, 12, 4, 8, 12, 15, 5, 9, 3, 6, 2, 6, 6, 9, ?
12) 5/6, 1/3, 1/2, 1/2, 2/8, 1/4, 5/6, 1/6, 2/3, 1/2, 1/3, ?
13) 33, 8, 41, 21, 67, 72, 47, 119, 124, ?
14) 1/7, 3/4, 4/9, 5/6, 7/11, 7/8, ?
15) 7, 4, 6, 3, 4.5, 1.5, 2.25, -0.75, ?

more Questions which I remember
1)8,0.5,16,4,15,0.3,50,4.5,6,0.2,30,?
2)9,4,16,6,36,21,441,? Ans:421
3)4,2,5,9,5,11,13,7,16,17,9,?
4)33,8,41,46,21,67,72,47,119,124,?
5)3,2,1,4,5,4,1,0,6,3,?
6)30.5,31,30,0,67.2,67,70,100,183.9?
7)48,24,35,7,16,8,75,15,80,40,?
8)1.8,3,0,6,2.5,5,0.5,3.4,2,1.7,4.8,6,? Ans=0.8
9)1370,1320,1070,-180,?
10)49,7,98,16,4,48,9,3,36,25,5,? Ans=125

Asked In IBM Submited By-- utkarsh singh (1 year ago)

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(#M40032123) AMCAT MATHS PUZZLE (57) 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 (1 year ago)

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(#M40038889) TCS MATHS PUZZLE (57) 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 (5 Months ago)

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(#M40039900) TCS MATHS PUZZLE speed,time and distance (57) 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 (4 Months ago)

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(#M40024620) TCS MATHS PUZZLE (56) 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 (1 year ago)

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(#M40030056) TCS MATHS PUZZLE (56) 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 (1 year ago)

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(#M40033958) TCS MATHS PUZZLE (56) Keep an EYE

122333444411222233333344444444 111222222333333333444444444444 .....what will be the 2024 number?

Asked In TCS Submited By-- PRIYANKA RANDIVE (10 Months ago)

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(#M40038893) TCS MATHS PUZZLE probability (56) Keep an EYE

in a stair case there are 10 steps. a child is attempting to climb staircase. each time she can either make a step or 2. in how many different ways she can climb the staircase

1-10
2-21
3-36

Asked In TCS Submited By-- hima (5 Months ago)

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(#M40039070) TCS MATHS PUZZLE number series (56) Keep an EYE

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

a]19284756374
b]243768954321
c]287621088425
d]357849113670

Asked In TCS Submited By-- Anitha (4 Months ago)

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(#M40017449) IBM MATHS PUZZLE Number series (55) 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 (2 years ago)

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(#M40033672) TCS MATHS PUZZLE (55) Keep an EYE

Q). A Programmer noted the results of attempting to run 20 programs. The results that 2 programs run correctly in the first attempt, 7 programs run correctly in the second attempt, 5 programs run correctly in the third attempt, 4 programs run correctly in the fourth attempt and 2 programs run correctly in the fifth attempt. What is the probability that this next program will run correctly on the third run ?

1) 1⁄4
2) 1⁄3
3) 1⁄6
4) 1⁄5

Asked In TCS Submited By-- ravikiran (11 Months ago)

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(#M40039531) TCS MATHS PUZZLE tcs question (55) 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 (4 Months ago)

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(#M40024599) TCS MATHS PUZZLE (54) 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 (1 year ago)

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(#M40033808) TCS MATHS PUZZLE TCS question (54) Keep an EYE

A chocolates manufacturer makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10. How many “different” boxes of chocolates can be made?

Asked In TCS Submited By-- KESANI ADINARAYANA (11 Months ago)

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(#M40020071) TCS MATHS PUZZLE Tcs exam new Pattern (53) Keep an EYE

TCS Test pattern has changed for 2014 recruitment and following are the changes,

1. New Verbal Ability Section has been added, it will have 1 question for 10 minutes.

The question is to write an Essay / Business Letter of 70-100 words utilizing all different words / phrases of words given as part of question.

Sample: Using the following words write an email with minimum of 70 words to the Customer Mr John Nixon about the delay in the project

Payment Processing System - Schedule - 10th May (Friday) - will not recur - total delay - regret

How the Verbal ability section is assessed?

The test taker will be asked to frame a paragraph of 70-100 words using some words / phrases of words given as the question. The Online Test engine of Touch Stone will automatically assess the Essay/ business letter / Paragraph written by the test taker in-terms of Grammatical correctness and effective utilization of words.

The result is Yes / No, so based on the correctness of Essay in terms of Grammar and utilization of all given words/phrases, the test taker will either be selected or rejected in the Test.

2. Change in Analytical ability section:

There will be two kinds of questions with two respective weightage of marks, ones with * mark and others without * mark
Questions with * mark -> All questions with * carry higher marks than the questions that do not have * mark. And * marked questions are difficult questions.
There will be negative marking for all questions in Analytical Ability Section.

Asked In TCS Submited By-- Kalidindi Mounika (1 year ago)

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(#M40024587) TCS MATHS PUZZLE (53) Keep an EYE

Find the last 3 digit of 2988^687

Asked In TCS Submited By-- sarika nayak (1 year ago)

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(#M40028158) TCS MATHS PUZZLE (53) 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 year ago)

Puzzle Status: Unsolved Read Solution (6)

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(#M40033617) TCS MATHS PUZZLE (53) 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 (11 Months ago)

Puzzle Status: Unsolved Read Solution (2)

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(#M40039071) TCS MATHS PUZZLE number series (53) Keep an EYE

A series is given 1,6,7,13,20,33,........and so on.Find the sum of first 52 terms.

a]192847456374
b]243768954321
c]287621088425
d]357849113670

Asked In TCS Submited By-- Anitha (4 Months ago)

Puzzle Status: Unsolved Read Solution (12)

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(#M40039286) TCS MATHS PUZZLE probability (53) 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 (4 Months ago)

Puzzle Status: Unsolved Read Solution (2)

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(#M40039391) TCS MATHS PUZZLE (53) Keep an EYE

One day ,Eesha started 30 min late from home and reached her office 50 min late while driving 25% slower than her usual speed.how much time in min Eesha usually take to reach her office from home
a)80min b)50min c)60min d)70 min

Asked In TCS Submited By-- ch.harshitha (4 Months ago)

Puzzle Status: Unsolved Read Solution (10)

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(#M40013831) TCS MATHS PUZZLE (52) 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 (2 years ago)

Puzzle Status: Unsolved

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(#M40026312) TCS MATHS PUZZLE (52) 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?

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

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(#M40039375) TCS MATHS PUZZLE (52) Keep an EYE

When the number is written in base b, we have 12*25 =333. The
value of b is ?

Asked In TCS Submited By-- bhagwandas kushwaha (4 Months ago)

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