Dump questions collected from Thiyagarajar college of Engineering, Madurai.
Students in the
Thiyagarajar campus where practiced for TCS aptitude test with those 63 questions, at maximum they received 16 and minimum of 5 questions from these 63 questions.
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1. A circular Swimming pool is surrounded by a
concrete walk 4 feet wide, if the area of the walk is 11/25 of the area of the
pool, then the radius of the pool in feet is
30 16 20 8
2. A circular tent is cylindrical to a height of 3
meters and conical above it. If its diameter is 105 m and the slant height of
conical portion is 53m, calculate the length of the canvas 5 m wide to make the
required tent
973.5 3894 1800 1947
3. Find the length of the longest pole that can be
placed in an indoor stadium 24 m long, 18 m wide and 16 m high
34m 36m 25m 30m
4. George while driving along the highway saw road
markers which are at equal distances from each other. He crosses the markers
every 20 seconds. If he increases his speed by x meters per second, he crosses
the markers at every 15 seconds. But if he increases his speed by y meters per
second, he crosses the marker at every 10th second. If y-x = 40 meters
per second, then what is the distance between two markers.
350m 420m 262.5m 280m
5. Seven different objects must be divided among
three persons. In how many ways this can be done if at least one of them gets
exactly one object.
1218 2484 2494 729
6. * How many different integers can be expressed as
the sum of three distinct numbers from the set {3, 10, 17, 24, 31, 38, 45, 52}?
8 56 16 15
7. Two alloys A and B are composed of two basic
elements. The ratios of the composition of the two basic elements in the 2
alloys are 5:3 and 1:2, respectively. A new alloy X is formed by mixing the 2 alloys
A and B in the ratio 4:3. What is the ratio of the composition of the 2 basic
elements in alloy X.?
5:2 1:1 2:3 4:3
8. Joke is faster than Paul, Joke and Paul each walk
24 KM. the sum of their speed is 7 Km per hour. And the sum of times taken by
them is 14 hours. Then, Joke speed is
3 KM/Hr 4 KM/Hr 5 KM/Hr 7 KM/Hr
9. The crew
of a rowing team of 8 members is to be chosen from 12 men (M1, M2, …., M12) and
8 women (W1, W2,…., W8), such that there are two rows, each row occupying one
the 2 sides of the boat and that each side must have 4 members including at
least one women. Further it is also known W1 and M7 must be selected for one of
its sides while M2, M3 and M10 must be selected for other side. What is the
number of ways in which rowing team can be arranged.
Answer:
10. In a certain city, 60% of the registered voters
are congress supporters and the rest are BJP supporters. In an assembly
election, if 75% of the registered congress supporters and 20% of the
registered BJP supporters are expected to vote for candidate A, what percent of
the registered voters are expected to vote for candidate A?
11. In 6 years, Raj’s father will be twice Raj’s age
then. Two years ago, while his mother was twice his age then. If Raj is going to
be 25 years old 3 years from now, then what is the sum of his parent’s age now?
92 100 84 76
12. Arun makes a popular brand of ice cream in a
rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the
company had decided to reduce the volume of the bar by 19%. The thickness will
remain same, but the length and width will be decreased by some percentage. The
new width will be,
5.5 4.5 7.5 6.5
13. On a 26 question test, 5 points were deducted
for each wrong answer and 8 points were added for right answers. If all the
questions were answered how many were correct if the score was zero.
10 11 13 12
14. A and B completed a work together in 5 days. Had
A worked at twice the speed and B at half the speed, it would have taken them 4
days to complete the job. How much time would it take for A alone to do the
work.
15 days 10 days 25
days 20 days
15. In a circle with centre ‘O’, AB and CD are two
chords such that AB > CD and AB is perpendicular bisector of CD at E. P is a
point on CD and when BP is extended it meets the circle at Q. For any point P,
the triangle BPE is similar to triangle
AEC QDP QAB ABC
16. Two equilateral triangles of side 12cm are
placed one on top of another, such that a 6 pointed star is formed. If the 6
vertices lie on a circle, what is the area of the circle not enclosed by the
star? (Give answer to the nearest square cm)
57 83 61 68
17. Rajesh calculated his average over the last 24
tests and found it to be 76. He finds out that the marks for three tests have
been inverted by mistake. The correct marks for these tests are 87, 79 and 98.
What is the approximate percentage difference between his actual average and
his incorrect average?
2% 2.5% none of these 2.30%
18. **Platinum is sold in bars of various weights
ranging from 13gms to 593gms, in 4 gram increments. Each bar is sealed in a
opaque box weighing 47gms. The box used for packaging has no markings on it
indicating the weight of the bar inside.
The precious metals merchant selling the boxes has
put the packed box into shelves based on the weight. However, to be certain, he
weighs the packed box in an equal arms two pan balance, and a set of weights
(which is common for all the box, and which he considers as “standards”
weights) Each of these weighs an integral no.of grams and have their weight
marked on them. The merchant, superstitious man always places the packet box of
platinum in the left pan, and places the appropriate weights in the left pan or
the right pan or both until the balance is achieved. This suffices to tell him
the weight of the packed bar.
What is the minimum number of “standard” weights the
merchant must have to be able to accurately determine the weight of the packed
boxes.
3 8 5 6
19. A circle circumscribes three unit circles that
touch each other. What is the area of the larger circle? Note that π is the
ratio of the circumference to the diameter of a circle ( 3.14159265).
Î (7+4
3)/3 Î (5+4
3)/3 Î (7+2
3)/3 Î (5+2
3)/3
20. A square, whose side is 2m, has it’s corners cut away so as
to form an octagon with all the sides equal. Then the length of each side of
the octagon, in meters, is
21. B alone can do piece of work in 10 days. A alone can do it
in 15 days. If the total wages for the work is Rs 5000, how much should B be
paid if they work together for the entire duration of the work?
2000 4000 5000 3000
22. The length, breadth and height of a room are in the ratio
3:2:1. If the breadth and height are halved, while the length is doubled. Then
the total area of the 4 walls of the room will be decreased by
30% 18.75% 15% 13.6%
23. The factorial of a non negative integer ‘n’, denoted by n!,
is the product of all positive integers less than or equal to n. For example 5!
Is 5*4*3*2*1=120. The sum of the series 1(1!)+2(2!)+3(3!)+…+2012(2012!) is
Answer:
24. An equilateral triangle and a square are inscribed in a
circle, find the ratio of the area of the square to that of the equilateral
triangle.
8:6
8:3
8:9
8:3
25. There are 5 boxes in a cargo. The weight of the 1st
box is 200KG, the weight of the 2nd box is 20% higher than the third
box, whose weight is 25% higher than the 1st box weight. The 4th
box which weighs 350KG is 30% lighter than the 5th box. Find the
difference in average weight of the 4 heaviest boxes and the four lightest
boxes.
Answer:
26. In a single throw with two dice, find the probability that
their sum is a multiple either of 3 or 4.
1/3 1/2 5/9 17/36
27. The average temperature of Tuesday Wednesday and Thursday
was 37 C. The average temperature of Wednesday and Thursday and Friday was 38
C. if the temperature on Friday was 39 C. Find the temperature on Tuesday.
37.33 38.33 36
28. 2ab5 is a four digit number divisible by 25. If a number
formed from the two digits ab is a multiple of 13, then ab is
52 45 10 25
29. A owes B Rs. 50. He agrees to pay B over a number of
consecutive days starting on a Monday paying a single note of Rs. 10 or Rs. 20
on each day. In how many different ways can A repay B. (Two ways are said to be
different , if and at least one day, a note of different denomination is given)
Answer:
30. In how many ways can the letters of the English alphabet be
arranged so that there are seven letters between the letters A and B, and no
letter is repeated.
Answer:
31. A vessel contains 180 Liters of spirit, 60 Liters are taken
out of the vessel everyday and equal quantity of water put in. what quantity of
spirit remains in the vessel after 3 days.
126.341 L 53.331
L 60 L 80 L
32. Raj divided 50 into 2 parts such that the sum of their
reciprocals is 1/12, we get the parts as
36,14 28,22 20,30
33. On a triangle ABC, on the side AB, 5 points are marked, 6
points are marked on side BC, and 3
points are marked on the AC ( none of the points being the vertex of the
triangle). How many triangles can be
made using these points.
None of these 328 333 90
34. The sum of the digits of a three digit number is
17, and the sum of the squares of its digits is 109. If we subtract 495 from
that number, we shall get a number consisting of the same digits written in the
reverse order. Find the number.
Answer:
35. One bottle is half full of wine and another
bottle with twice the capacity is one quarter full of wine. If water is added
so that bottles are full and the contents of both are poured into a third
bottle that is empty and large enough to hold the contents of both, what
fraction of the contents in the third bottle is wine
1/3 2/3 3/8 ¼
36. Consider all permutations ( i.e arrangements )
of the digits 1, 2, 3 we will say that a hit has been scored if at least one
digit occurs in its proper position ( i.e 1 occurs in the first position, 2
occurs in the second position and 3 occurs in the third position ). In how many
ways of this permutation can be scored.
4 2 1 3
37. Ram and Sakil run a race of 2000 meters. First,
Ram gives Sakil a start of 200 meters and beats him by one minute. Next, Ram
gives Sakil a start of 6 minutes and is beaten by 1000 meters. Find the time in
minutes in which Ram and Sakil can run the races separately.
8,10 10,18 12,18 10,12
38. The wages of 24 men and 16 women amount to Rs.
11600 per day. Half the numbers of men and 37 women earn the same money. The
daily wage paid to each man is,
400 375 325 350
39. In this question, A^B means A raised to the
power B. In which one of the following choices must P be greater than Q.
(a). 0.9^P=0.9^Q
(b). 0.9^P=0.92^Q
(c). 0.9^P>0.9^Q
(d). 9*P>9*Q
a b c d
40. In the magic figure shown below, the sum of
numbers in each row, column and diagonal are the same. What is the value of
y+z.
V
|
-5
|
W
|
31
|
X
|
Y
|
49
|
Z
|
13
|
170 240
(Answer not given exactly)
41. A Box has 13 white chips, 7 blue chips and 6
green chips. What is the probability that, if two chips are drawn from the box
in succession, one is blue and other is white.
7/50 20/26 4/20
42. If M is 30% of Q, Q is 20% of P and N is 50% of P,
then M/N is,
3/250 6/5 4/2 3/25
43. At the end of 1994, Rohit was half as old as his
grandmother. The sum of the years in which they were born is 3844. How old
Rohit was at the end of 1999.
55 48 49 53
44. Crusoe hatched from a mysterious egg discovered
by Angus, was growing at a fast pace that Angus had to move it from home to the
lake. Given the weights of Crusoe in its first weeks of birth as 5, 15, 30,135,
405, 1215, 3645. Find the odd weight out.
3645 135 30 15
45. How many different 9 digit numbers can be formed
from the number 223355888 by re-arranging its digits so that the odd digits
occupy even positions?
120 None
of these 60 90
46. An army camp has provisions for 52 days. 17 days
later, 300 new recruits join the camp and the remaining provisions will now
last only 21 days. How many recruits are there in the camp.
420 633 750 450
47. Cara, a blue whale participated in a weight loss
program at the biggest office. At the end of every month, the decrease in
weight from original weight was measured and noted as 1, 2, 6, 21, 86, 445,
2676. While Cara made a steadfast effort, the weighing machine showed an
erroneous weight once. What was that.
2676 2 445 86
48. 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4….. in the above sequence what is the number of the position 2888 of the sequence.
1 4 3 2
49. How many six digit even numbers can be formed
from the digits 1, 2, 3, 4, 5, 6 and 7 so that the numbers should not repeat
and the second last digit is even?
50. The value of a scooter depreciates in such a way
that it’s value at the end of each year is ¾ of it’s value at the beginning of
the same year. If the initial value of the scooter is 40000 what is the value
at the end of 3 years.
51. A team won 80% of the games it played. It played
5 more games of which it won 3 and lost 2. It’s loss percentage is now 25%. How
many games did the team play overall.
16 25 14 20
52. Five college students met at a party and
exchanged gossips. Uma said, “Only one of us is lying”. David said, “Exactly
two of us are lying”. Thara said, “Exactly 3 of us are lying”. Querishi said,
“Exactly 4 of us are lying”. Chitra said “All of us are lying”. Which one was telling the truth ?
David Querishi Chitra Thara
53. Anusha,
Banu and Esha run a running race of 100 meters. Anusha is the fastest followed
by Banu ans then Esha. Anusha, Banu and Esha maintain constant speeds during
the entire race. When Anusha reached the goal post, Banu was 10m behind. When
Banu reached the goal post Esha was 10m behind. How far was behind Anusha when
the latter reached the goal post.
70 81 90 80
54. A series of books was published at seven-year
intervals. When the seventh book was issued, the sum of the publication years
was 13,524. When was the first book published?
1900 1811 1800 1911
55. On a certain assembly line, the rejection rate for
Hyundai i10’s production was 4 percent, for Hyundai i20’s production 8 percent
and for the 2 cars combined 7 percent. What was the ratio of Hyundai’s i’10
production?
3/1 2/1 1/1 1 / 2
56. For which of the following ‘n’ is the number
2^74 + 2^2058 + 2^(2n) a perfect square ?
2100 2010 2011 2012
57. A farmer has a rose garden. Everyday he picks
either 7,6,24 or 23 roses. When he plucks these number of flowers the next day,
37,36,9 or 18 new flowers bloom. On Monday he counts 189 roses. IF he continues
on his plan each day, after some days what can be the number of roses left
behind(Hint : Consider no. Of roses remaining every day)
7 4 30 37
58. A
manufacturer of chocolates makes 6 different flavours of chocolates. The
chocolates are sold in boxes of 10. How many “different” boxes of chocolates
can be made ? (Note: a box is considered different from another only if
regardless of the order the box contain a different number of of chocolates of
at least one type.)
10^6 6^10 3003 3000
59. In a triangle
ABC, the lengths of the sides AB and AC are 17.5cm and 9cm. Let D be a point on
the line segment BC such that AD is perpendicular to BC. If AD=3cm, then what
is the radius (in cm) of the circle circumscribing the triangle?
27.85 32.25 26.25 22.45
60. A tourist wants to visit 3 or more of the 5
major cities in India:C,B,M,D,K. In how many ways can he plan his tour such
that C is always included? Two plans of the tour are different if the cities in
the tour or the order of the cities are different.
5!+(4x4!)+(6x3!)
5(4!+3!+2!)
5!+4!+3!
5!+2!
61. A number successively divided by 5,3,2 gives
remainders 0,2 and 1 respectively in that order. What will be the remainders if
the same number is divided in the order 2,3 and 5?
4,1,2 4,3,2 2,1,3 1,0,4
62. There are 5 packers A,B,C,D,E in a company. They
charge 66,52,46,32,28 $ for each item. The time taken to pack one item is 20,
24,30,40,48 minutes respectively. All items are sold at the end of the day.
Each item gets a profit of 100$ and the packers are paid from this profit. If
each works for 8 hours a day, which packer contributes the most to the net
profit of the company?
B A C D
63. If a boy
started writing 4 digit no then how many times 2 comes?
3700 2222 3500 3000
Solve and post your comments bellow.
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these links may help you -
2. Tcs Open SeeSame Solution's
3. Tcs aptitude placement paper sept 2013
4. Tcs Aptitude Paper At Sastra University 2013
3. Tcs aptitude placement paper sept 2013
4. Tcs Aptitude Paper At Sastra University 2013
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can anybody post the solutions for these questions please
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