TCS Quants Paper

1. There are 150 weights .Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260.What is the number of 1kg weights?40
2. A is driving on a highway when the police fines him for overspeeding and exceeding the limit by 10 km/hr. At the same time B is fined for overspeeding by twice the amount by which A exceeded the limit. If he was driving at 35 km/hr what is the speed limit for the road?15

3. A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east. How far is A from his starting point?3
4. A car travels 12 kms with a 4/5th filled tank. How far will the car travel with 1/3 filled tank? 5

5. The sum of the digits of a two digit number is 8. When 18 is added to the number, the digits are reversed. Find the number?
6. The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?
7. Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son.Find the fathers' present age.
8. What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2.

9. What is the 12th term of the series 2, 5, 8, ....

10. If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work?

11. In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.
12. If Rs.1260 is divided between between A, B and C in the ratio 2:3:4, what is C's share?

13. A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?

14. What percent of 60 is 12?
15. Hansie made the following amounts in seven games of cricket in India: Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 and Rs.17(all figures in crores of course). Find his average earnings.

16) Bhanu spends 30% of his income on petrol on scooter. ¼ of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
17) If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?
18) The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?
19) The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100
20) A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 : 1/6. How many white tennis balls did the store originally order for?
│in a course is determined by 6 quizzes and one examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?
22) A sum of money is divided among A, B and C such that for each rupee A gets, B gets 65paise and C gets 35paise. If C's share is Rs.560, the sum is … ?
│ Joe's father will be twice his age 6 years from now. His mother was twice his age 2 years before. If Joe will be 24 two years from now, what is the difference between his father's and mother's age?
│ A traveler walks a certain distance. Had he gone half a kilometer an hour faster \, he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance?
25) Two oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas and 1 apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
26) A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to.
27) A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore does the seaplane catch upon with the ship?
28) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?
29) 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?
30) There are 5 distinct pairs of white socks and 5 pairs of black socks in a cupboard. In the dark, how many socks do I have to pull out to ensure that I have at least 1 correct pair of white socks?
[a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start?

32) If the distance traveled (s) in time (t) by a partile is given by the formula s = 1+ 2t+3t2+4t3 , then what is the distance travelled in the 4th second of its motion?
33) There is a circular pizza with negligible thickness that is cut into 'x' pieces by 4 straight line cuts. What is the maximum and minimum value of 'x' respectively?
34) When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ¼ of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous. Find the number.
35) LCM of x and y is 36 and HCF of x and y is 4. If x = 4 then which of the following is definitely not true?
36) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
37) A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar? b) 3.00pm
38) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.
39) How many positive integer solutions does the equation 2x+3y = 100 have?
40) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53and the product went up by 540. What was the raised product?
41. In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).

42. In the word ORGANISATIONAL, if the first and second, third and forth, forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?

43. What is the largest prime number that can be stored in an 8-bit memory?

44. Select the odd one out. a. Java b. Lisp c. Smalltalk d. Eiffel.

45. Select the odd one out a. SMTP b. WAP c. SAP d. ARP

46. Select the odd one out a. Oracle b. Linux c. Ingress d. DB2

47. Select the odd one out a. WAP b. HTTP c. BAAN d. ARP

48. Select the odd one out a. LINUX b. UNIX c. SOLARIS d. SQL SEVER

49. Select the odd one out a. SQL b. DB2 c. SYBASE d. HTTP

50. The size of a program is N. And the memory
occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now
occupied?

51. A man, a woman, and a child can do a
piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

52. In which of the system, decimal number
184 is equal to 1234?

53. Find the value of the 678 to the base
7.

54. Number of faces, vertices and edges of a
cube

55. Complete the series 2, 7, 24, 77,__

56. Find the value of @@+25-++@16, where @
denotes "square" and + denotes "square root".

57. Find the result of the following expression if, M denotes modulus operation, R denotes round-off, T denotes truncation: M(373,5)+R(3.4)+T(7.7)+R(5.8)

58. If TAFJHH is coded as RBEKGI then RBDJK can be coded as ---------

59. G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G
(5)= ?

60. What is the max possible 3 digit prime
number?

61. A power unit is there by the bank of the
river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power
unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.

62. The size of a program is N. And the
memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory
now occupied?

63. In Madras, temperature at noon varies
according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm. Ans. At 9pm 7.5 more

64. The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

65. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

66. If the vertex (5,7) is placed in the memory. First vertex (1,1) `s address is 1245 and then address of (5,7) is ----------

67. Which of the following are orthogonal
pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j

68. If VXUPLVH is written as SURMISE, what is SHDVD?

69. If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.
70. What is the power of 2? a. 2068
b.2048 c.2668

71. Complete the series. 3, 8, --, 24, --,
48, 63 .

72. Complete the series. 4, -5, 11, -14, 22, ?

73. A, B and C are 8 bit no's. They are as
follows:
A 1 1 0 1 1 0 1 1
B 0 1 1 1 1 0 1 0
C 0 1 1 0 1 1 0 1
Find ( (A-B) u C )=?

74. A Flight takes off at 2 A.M from northeast
direction and travels for 11 hours to reach the destination which is in north west direction. Given the latitude and longitude of source
and destination. Find the local time of destination when the flight reaches there?

75. A can copy 50 papers in 10 hours while
both A & B can copy 70 papers in 10 hours. Then for how many hours required for B to copy 26 papers?

76. A is twice efficient than B. A and B can
both work together to complete a work in 7 days. Then find in how many days A alone can complete the work?

77. A finish the work in 10 days. B is 60%
efficient than A. So how days does B take to finish the work?

78. A finishes the work in 10 days & B in 8
days individually. If A works for only 6 days then how many days should B work to complete A's work?

79. Given the length of the 3 sides of a triangle. Find the one that is impossible?

80. Find the singularity matrix from a given
set of matrices?(Hint det(A)==0)
81. A 2D array is declared as A[9,7] and each
element requires 2 byte. If A[ 1,1 ] is stored in 3000. Find the memory of A[8,5] ?

82. Sum of slopes of 2 perpendicular st. lines
is given. Find the pair of lines from the given set of options which satisfy the above condition?

83. (a) 2+3i (b)1+i (c) 3-2i (d) 1-7i .Find which of the above is orthogonal.

84. (Momentum*Velocity)/(Acceleration * distance ) find units.

85. The number 362 in decimal system is given by (1362)x in the X system of numbers find the value of X a}5 b) 6 c) 7 d) 8 e) 9

86. Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6

87. My flight takes of 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) 6:40am c)7:40 d)7:00 e)8:00

88. Find the highest prime number that can be stored in an 8bit computer.

89. Which of the following set of numbers has the highest Standard deviation?
1,0,1,0,1,0
-1,-1,-1,-1,-1,-1
1,1,1,1,1,1
1,1,0,-1,0,-1
90. A family, planning a weekend trip, decides to spend not more than a total of 8 hours driving. By leaving early in the morning, they can average 40 miles per hour on the way to their destination. Due to the heavy Sunday traffic, they can average only 30 miles per hour on the return trip. What is the farthest distance from home they can plan to go?
(a) 120 miles or less (b) Between 120and 140 miles (c) 140 miles (d) Between 140 and 160 miles (e) 160 miles or more
91. A car is filled with four and half gallons of fuel for a round trip. If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back?
(a) Less than 2 gallons (b) 2 gallons (c) 2 1/2 gallons (d) 3 gallons (e) More than 3 gallons

92. A 3-gallon mixture contains one part S and two parts R. In order to change it to a mixture containing 25% S, how much R should be added?
(a) 1/2 gallon (b) 2/3 gallon (c) 3/4 gallon (d) 1 gallon (e) 1 1/2 gallon

93. A tree grows only 3/5 as fast as the one beside it. In four years the combined growth of the two trees is eight feet. How much does the shorter tree grow in two years?
(a) Less than 2 feet (b) 2 feet (c) 2 1/2 feet (d) 3feet (e) more than 3 feet.
94. Wind flows at 160 miles in 330 minutes, for traveling 80 miles how much time does it require?
(a) 1 hour 30 minutes (b) 1 hour 45 minutes (c) 2 hours
(d) 2 hours 45 minutes (e) 3 hours

95. A stationary engine has enough fuel to run 12 hours when its tank is 4/5 full. How long will it run when the tank is 1/3 full?
(a) Less than 2 hours (b) 2 hours (c) 3 hours
(d) 4 hours (e) 5 hours
96. If A is traveling at 72 km per hour on a highway. B is traveling at a speed of 25 meters per second on a highway. What is the difference in their speeds in meters per second?
(a) 1/2 m/sec (b) 1 m/sec (c) 1 1/2 m/sec (d) 2 m/sec (e) 3 m/sec
97. A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing the number by 3. What is the answer he should have actually got?
(a) 0 (b) 1/3 (c) 1 (d) 2 (e) 3
98. If the length of a rectangle is increased by 30% and the width is decreased by 20%, then the area is increased by...
(a) 10% (b) 5% (c) 4% (d) 20% (e) 25%

99. In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?
(a) 5 (b) 20 (c) 15 (d) 10 (e) 30

100. The most economical prices among the following prices is:
(a) 10 kilo for Rs.160
(b) 2 kilo for Rs.30
(c) 4 kilo for Rs.70
(d) 20 kilo for Rs.340
(e) 8 kilo for Rs.130

101. A truck contains 150 small packages, some weighing 1 kg each and some weighing 2 kg each. how many packages weighing 2 kg each are in the truck if the total weight of all the packages is 264 kg?
(a) 36 (b) 52 (c) 88 (d) 124 (e) 114
102. A man was arrested for exceeding the speed limit by 10 miles an hour. A second man was charged with exceeding the same limit by twice as much. The second man was driving 35 miles per hour. What was the speed limit?
(a) 10 miles per hour (b) 15 miles per hour (c) 20 miles per hour
(d) 25 miles per hour (e) 30 miles per hour

103. One year ago Pandit was three times his sister's age. Next year he will be only twice her age. How old will Pandit be after five years?
(a) 8 (b) 12 (c) 11 (d) 13 (e) 15
104. If two pencils cost 8 cents, then how much do 5 pencils cost?
(a) 18 cents (b) 20 cents (c) 22 cents (d) 23 cents (e) 24 cents