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Question 2013 Set – 5

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1. A boy wants to make cuboids of dimension 5m,6m & 7m from small cubes of .03m^3.Later he realized that he can make some cuboids by making it hollow.Then it takes some cubes less.What is the number of cubes to be removed a)2000 b)5000 c)3000 d)7000

2. if N is a natural no and N^3 has 16 factors then how many maximum factors can N^4 have?? a)21 b)24 c)25 d)26

3. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top of the repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some I between 0 and 100). We will call this as i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated, for example once a player makes a 2-move, on

subsequent turns neither player can make a 2-move. If the gol coin happen to be on the top when its a players turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then

a.In order to win, Alice’s first move should be a 1-move. b.Alice has no winning strategy. c.In order to win, Alice’s first move can be a 0-moveor a 1-move. d.In order to win, Alice’s first move should be a 0-move.

4. There are two glasses A and B. A contains orange juice and B contains apple juice in same quantity. Some amount orange juice from glass A is transferred to glass B. The juice in glass B is mixed well. Then again the same amount of juice from B is transferred to A. Compare the quantities of apple juice in A and orange juice in B.

5. Lady has 25 blues, 7 red,9 yellow gloves and hats.how many gloves of same colour?

6. Using two 2′s and two 3′s and using a maxim of three mathematical signs, symbols, can you have a result in between 14 and 15? Concatenation (clubbing of digits) allowed

7. 2^1096 + 2^2248 + 2^2n) find the value of n so that the value will be perfect square (a)2011 (b)2012 (c)2010 (d)2008Asked In TCS

8. a*b*c*d*e + b*c*d*e*f + a*c*d*e*f + a*b*d*e*f + a*b*c*e*f + a*b*c*d*f = a*b*c*d*e*f and a,b,c,d,e and f are all positive nonrepeating integers then solve a,b,c,d,e, and f.

9. Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person’s speed to that of 2nd escalator is 3:5 (steps). Find the total number of steps they both have taken together. A.85 B.93 C.80 D.75

10. A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer, and 1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than? A. 3 B. 6 C. 12 D. 9

11. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight member joint family is nearest to: [1] 23 years [2] 22 years [3] 21 years [4] 25 years [5] 24 years

12. Form 8 Digit Numbers From By Using 1, 2,3,4,5 With Repetition Is Allowed And Must Be Divisible By 4? A.31250 B.97656 C.78125 D.97657

13. 729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be added to get a new mixture containing half milk and half water?

14. Thirty days are in September, April, June and November. Some months are of thirty one days. A month is chosen at random. Then its probability of having exactly three days less than maximum of 31 is

A. 15/16 B.1 C.3/48 D.None of these

15. Silu and Meenu were walking on the road.Silu said, “I weight 51 Kgs. How much do you weight?” Meenu replied that she wouldn’t reveal her weight directly as she is overweight. But she said, “I weight 29 Kgs plus half of my weight”. How much does Meenu weight??

16. In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC? A. 17.05 B. 27.85 C. 22.45 D. 32.25 E. 26.25

17. If x^2-16>0,which of the following must be true nd how?

18. 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)2 b)3 c)4 d)0

19. the sequence {An} is defined by A1=2 and An+1=An +2n what is the value of A(100) ANS:9902

20. A cake seller sells one cake at a profit of 10% and sells another at a loss of 5%. Let the ratio of the CPs of the cakes is 2:3 respectively. Find his net profit or loss percentage

21. find the NEXT number in 0,4,5,11,…..

22. There are different things like p,q,r,s,t,u,v. We can take p and q together. If r and s are taken together then t must has to be taken. u and v can be taken together.v can be taken with p or s. every thing can be taken together except Asked In tcs.

22. Haw many integers lie betwen 300 and 1000 , which are exactly divisible by 13

23. Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

24. A 31″ x 31″ square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the same distance from the neighbouring nails. How many nails does the carpenter use?

25. A person with some money spends 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel. He is left with Rs 100/- How much did he have with him in the beginning?

26. an empty tankbe filled with aninlet 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?

27. THE SIMPLIFY VALUE OFF (1-1/3)(1-1/4)(1-1/5)…………………………………………………………(1-1/99) (1-1/100) ?

28. If a pen is being sold at 4% profit instead of 4% loss the actual profit is Rs 16. What is the actual cost price of the pen?

29. There are 4 parties A,B,C,D. Ram told that either A or B will win. Shyam told C will never win. Hari told either B or C or D will win. Only one of them was Correct.Which party won?

30. What is the 28383rd term in the series 1234567891011121314…..

31. Boat A leaves shore P and Boat B leaves shore Q.(P and Q are opposite shores of a river.) A and B travel at constant speed. But the speeds are not same. Both boats meet at 600m from P for the first time. In their return journeys (i.e. after touching the shores), they meet again at 200m from Q. Find distance between P and Q.

32. Difference between Bholu’s and Molu’s age is 2 years and the difference between Molu’s and Kolu’s age is 5 years. What is the maximum possible value of the sum of the difference in their ages, taken two at a time?

33. locks are chosen randomly on a chessboard.What is the probability that they are in the same diagonal?

34. bookseller sells a particular novel at 10% discount on the labelled price. Also he is so generous that he gives a free book for every 15 books for wholesale buyers. In this transaction his gain is 35%. Then find the ratio of Ratio of Labelled Price to the actual CP.

35. Consider the sum: ABC + DEF + GHI = JJJ .If different letters represent different digits, and there are no leading zeros, what does J represent?

36. How much water must be added to 60 litres of mixture of milk? 1 ½ litres of milk for Rs. 20. So as to have a mixture worth Rs.10⅔ a litre

37. factorial value of n has 13 zeros than wat is the max and min value of n

38. A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:

39. A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:

40. A 3 digit number is such that it’s unit digit is equal to the product of the other two digits which are prime. Also, the difference between it’s reverse and itself is 396.What is the sum of the three digits?

41. It was vacation time, and so I decided to visit my cousin’s home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these

activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14 days when we jogged or played tennis. For how many days did I stay at my cousin’s place?

42. Grass in lawn grows equally thick and in a uniform rate. It takes 40 days for 40 cows and 60 days for 30 cows to eat the whole of the grass. How many days does it take for 20 cows to do the same?

43. Lucia is a wonderful grandmother. Her age is between 50 and 70.Each of her sons has as many sons as they have brothers. Their combined number gives Lucia’s age. What is the age?

44. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days?

45. There is a safe with a 5 digit number as the key. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.

46. There are 111 players participating in a singles tennis tournament. The player who is losing will be out of the tournament. For each and every match, One new ball is taken. Find the no. of balls required for the entire tournament.

48. I have got some money in my bag. (Which is stolen after shopping I and II)? I spent 10% of my money for shopping (I) For second time, 10% of the remaining money is spent for shopping (II) The total bill amount=Rs.18. Find the amount which will be remaining in the bag?

49. Three cards are drawn at random from an ordinary pack of cards.Find the probability that they will consist of a king, a queen and an ace.

50. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original

number, but they are in reverse order. The ten’s place of the original number is equal to twice the difference between its digits. What is the number?

51. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

52. In a certain year, the number of girls who graduated from City High School was twice the number of boys. If 3/4 of the girls and 5/6 of the boys went to college immediately after graduation, what fraction of the graduates that year went to college immediately after graduation?

53. In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same staring point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

54. Dealer sold a radio at a loss of 2.5 %. Had he sold for Rs. 100 more, he would have gained 7 %.In order to gain 12 %, he should sell it for: a) 850 b) 1080 c) 925 d) 1120

55. My flight takes off at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W.What is the local time when my plane landed? a) 6:00 am b) 6:40 am c) 7:40 am d) 7:00 am e) 8:00 am

56. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by a)150 mens b)200 mens c)100

57. It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?

58. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs?

59. Find the no of zeros in the product of 1^1*2^2*3^3*…..*49^49?

60. 10 men and 10 women are there.They dance with each other.Is there possibility that two men are dance with same girl and vice versa? a)22 b)20 c)10 d)none of these

61. Tim and Elan are 90 km from each other, they start to move each other simultaneously, Tim at speed 10 and Elan 5kmph, if every hour they double their speed what is the distance that Tim will pass until he meet Elan?

62. 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!

63. A sheet of paper has statements numbered from 1 to 20. For each value of n from I to 20, statements n says ‘At least n of the statements on this sheet are true.’ Which statements are true and which are false? • The odd numbered statements are true and the even numbered are false. • The first 13 statements are false and the rest are true. • The first 6 statements are true and the rest are false.

• The even numbered statements are true and the odd numbered are false.

64. Some unnecessary data,then :There are three dice, threw 3 times probability of getting 10 is

65. 1! + 2! + ……. + 50!=? a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

66. A die is rolled once. Call the result N. Then, the die is rolled N times, and those rolls which are equal to or greater than N are summed (other rolls are not summed). What is the distribution of the resulting sum? What is the expected value of the sum?

67. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

68. what is the reminder when 6^17+17^6 is divided by 7 ? a) 3 b) 0 c) 6 d) 1

69. 1, 2, 3, 6, 7, 14, _, 32?

70. A closed cylindrical tank contains 36 pie cubic feet of water and its filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?

71. College T has 1000 students. Of the 200 students majoring in one or more of the sciences,130 are majoring in Chemistry and 150 are majoring in Biology. If at least 30 of the students are not majoring in

either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from

72. Rural households have more purchasing power than do urban households at the same income level, since some of the income urban and suburban households use for food and shelter can be used by the rural households for other needs. Which of the following inferences is best supported by the statement made above?

73. IF m is an odd Integer & n is an even integer….then which of d following is ODD ???. a) (2m+n)(m-n) b) (m_n^2)+(m-n^2) c) m^2+mn+n^2 d) m+n

74. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard’s walking. Calculate Bernard’s walking speed in kmph. A.23.62 B.11.39 C. 8.78 D. 236.16

75. A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year- Ill, 150 Year-II, and 200 Year-I students who applied. Each Year-III’s name is placed in the lottery 3 times; each Year-II’s name, 2 times; and each Year-I’s name, 1 time. What is the probability that a Year-III’s name will be chosen? A. 1/8 B.2/9 C.2/7 D.3/8

76. At 15:15 pm railway time, what will be the angle between minute and hour hand?

a) 0 degree b) 180 degrees c) 360 degrees d) both a and c

77. A gambler has in his pocket a fair coin and a two-headed coin. He withdraws a coin at random and flips it twice. If the first flip is Heads, what is the probability that the second flip is Heads ?

78. When 2256 is divided by 17 the remainder would be A.1 B.16 C.14 D.none of these

79. what is the remainder when 100! is divided by 97^2? 1.582 2.8148 3.1261 4.8827

80. 222^222 divided by 7 … what is the reminder ?

81. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: A. 145º B. 150º C. 155º D. 160º

82. If p(x)=a x^4+b x^3+c x^2+d x+e…..has roots at x=1,2,3,4……p(0)=48…then p(5)=?????

83. A number has exactly 3 prime factors, 125 factors of this number are perfect squares and 27 factors of this number are perfect cubes. overall how many factors does the number have???

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