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???
caution : This Stuff is Not Legit ,
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