CTS Job Placement Paper
CTS PAPER IN N.I.T. JAMSHEDPUR
Color code: Yellow
Questions given here are not in the same order as that in question paper.
A starts from a place at 11.00 A.M. and travels at a speed of 4 kmph, B
starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for
the next 1 hour, 3 kmph for the next 1 hour and so on. At what time will B
catch up with A
a) 9.24 b) 9.32 c) 9.48 d) none
The average temperature of Monday to Wednesday was 37C and of Tuesday to
Thursday was 34C. If the temperature on Thursday was 4/5 th of that of
Monday, the temperature on Thursday was
a) 36.5C b) 36C c) 35.5C d) 34C
Swetha and Chaitanya went to a bookshop. Swetha purchased 5 pens, 3 note
books and 9 pencils and used up all her money. Chaitanya purchased 6 pens, 6
note books and 18 pencils and paid 50% more than what Swetha paid. What % of
Swethas money was spent on pens
a) 12.5 b} 62.5 c) 75 d) canít be determined.
Directions for Questions 4, 5, 6. Alex, Bond, Calvin and Dorna collected
coins of different
a. They collected 100 altogether b. None collected less than 10
c. Each collected an even no. d. Each collected a different no
Based on the above, we can say that the no. of coins collected by the boy
who collected the most could not have exceeded
a) 54 b) 64 c) 58 d) 60
If Alex collected 54 coins, we can say (on the basis of information obtained
so far) that difference in nos. collected by the boy who collected the most
and the boy who collected the 2nd most should be at least
a) 30 b) 24 c) 26 d) 12
Alex collected 54 coins. If Calvin collected 2 more than double the no.
collected by Dorna, the no. collected by Calvin was
a) 10% b) 30% c) 22% d) 26 %
How many nos. are there between 100 and 200 both inclusive and divisible by
2 or 3?
a) 67 b) 68 c) 84 d) 100
Find the greatest no. that will divide 964, 1238 and 1400 leaving remainder
of 41, 31 and 51 resp.
a) 58 b) 64 c) 69 d) 71
If all 6ís get inverted and become 9ís, by how much will the sum of all nos.
between 1 and 100 both inclusive change?
a) 300 b) 330 c) 333 d) none of these
If all the picture cards are removed from a pack of cards, the sum of the
values of the remaining is
a) 55 b) 220 c) 54 d) 216
What is the min. no. of weighing operations required to measure 31 kg of
rice if only one stone of 1 kg is available?
a) 31 b) 6 c) 5 d) 16
The ratio of the no. of white balls in a bag to that of black balls is 1:2.
If 9 grey balls are added the ratio of nos. of white, black and grey become
2:4:3. How many black balls were in the bag?
a) 6 b) 9 c) 12 d) 8
There are 2 toy cars facing each other at a distance of 500 cm from each
other. Each car moves forward by 100 cm at a speed of 50 cm/s and then moves
backward by 50 cm at a speed of 25 cm/s. How long will it take for the cars
a) 12s b) 14s c) 16s d) 13s
It takes 8, 12 and 16 days for A, B and C resp. to complete a task. How many
days will it take if A works on the job for 2 days then B works on it until
25% of the job is left for C to do, and C completes the work?
a) 10 days b) 14 days c) 13 days d) 12 days
A and B run in opposite directions from a pt. P on a circle with different
but constant speeds. A runs in clockwise direction. They meet for the first
time at a distance of 900 m in clockwise direction from P and for the second
time at a distance of 800 m in anticlockwise direction from P. If B is yet
to complete one round, the circumference of the circle is
a) 1700m b) 1250m c) 1300m d) 1200m
Bird A starts flying from P to Q at 9.00 A.M. and bird B starts flying from
Q to P at 10.00 A.M. B is 50% faster than A. What is the time at which they
meet if P and Q are 300kms apart and Aís speed is 50kmph.
a) 12 noon b) 12.30pm c) 11.30am d) 11.00am
There are 6 cities, of which each is connected to every other city. How many
different routes can one trace from A to B, such that no city is touched
more than once in any one route
a) 48 b) 60 c) 65 d) 72
In a group of 80 coins, exactly one is counterfeit and weighs less than the
others. U are provided a scale to weigh to coins. The min. no. of weightings
req. to determine the counterfeit coin is
a) 4 b) 1 c) 5 d) none of these
Directions for questions 19 to 23 Mark a if the ans. Can be obtained using 1
and 2 independently Mark b if the ans. Can be obtained by using only one of
the two statements. Mark c if the ans. Can be obtained by using both
statements 1 and 2 but not either of them alone. Mark d if the ans. cannot
be obtained by using 1 and 2
What is the selling price of product X
Profit as a % sales is 10%, cost price is Rs.27
Profit as % sales is 20%, cost price is Rs.20
Find the perimeter of the rear wheel of a cart?
1. When the cart moves 5m, the rear wheel moves R rotations less than the
The radius of the rear wheel is 3 times that of front wheel.
21. Is a-b+c>a+b-c. a, b,c are integers.
1. b is negative
2. c is positive
22. What is the distance from mumbai to Nagpur?
1. Driving at 90kmph I reach nagpur I hr earlier than if I were to drive at
2. Driving at 100kmph I covered 40% of the distance in 7 hrs.
23. What is the age of father and the son?
1. The ratio of their ages is 5:3 now and will be 3:2 in 10 years.
2. The sum of their ages now is 80, and 5 years ago the ratio was 9:5.
24. A cube of 12cm sides is painted red on each side. It is cut into cubes
of 3cm side each. How
many of the smaller cubes do not have any side painted red?
a) 8 b) 12 c) 16 d) 0
Directions for questions 25 to 28. Kamal Babu came home just after judging a
beauty contest where there were four semi-finalists: Ms.Uttar Pradesh,
Ms.Maharashtra, Ms.Andhra Pradesh and Ms.West Bengal. His wife was very keen
on knowing who the winner was and kamal Babu replied immediately that it was
the one wearing the yellow saree. When his wife asked for more details, he
gave the following information:
The four girls were wearing saris of different colors (yellow, red, green,
white) and the runner-up was wearing green. The four girls were sitting in a
row, and Ms.West Bengal was not sitting at either end. There was only one
runner-up and she was sitting next to Ms.Maharashtra. The girls wearing
yellow and white saris occupied the seats at either end. Ms.West Bengal was
neither the winner nor the runner-up. Ms.Maharashtra was wearing white. The
winner and the runner-up were not sitting next to each other. The girl
wearing the green sari was not Ms.Andhra Pradesh. Answer the following
questions based on the above information.
25. Who was wearing the red sari?
a) Ms.Andhra Pradesh b) Ms.West Bengal
c) Ms.Uttar Pradesh d) cannot be determined
26. Between which two was Ms.West Bengal sitting?
a) Ms.Andhra and Ms.Uttar
b) Ms.Andhra and Ms.Maharashtra
c) Ms.Uttar and Ms.Maharashtra
d) Cannot be determined
27. What was the color of the sari that Ms.Uttar Pradesh was wearing?
a) White b) Green c) Red d) Yellow
28. What was the color if the sari that Ms.Andhra was wearing?
a) White b) Yellow c) Red d) Indeterminate
Directions for questions 29-31. Shweta, Tina, Uma and Vidya were playing a
game. The rule of the game is that the loser doubles the amount of money
that each of the other has. They play four games. A different girl loses
each game-in reverse alphabetical order. At the end of the fourth game, each
girl has Rs.32/-.
29. Who started with the lowest amount of money?
a) Shweta b) Tina c) Uma d) Vidya
30. Who started with the highest amount of money?
a) Shweta b) Tina c) Uma d) Vidya
31. How much did Uma have at the end of the second game?
a) Rs.32 b) Rs.72 c) Rs.8 d) Rs.36
Directions for questions 32-33. Abel, Lucky, Bingo are three T.V. channels.
A survey shows that 30%, 20%, and 85% of the people watch Abel, Lucky, and
Bingo respectively. 20% of the people watch exactly two of the three
channels and 5% watch none.
32. What % of the people watches all three channels?
a) 0 b) 5 c) 10 d) 20
33. If another survey indicates that 20% of the people watch Abel and Bingo,
16% watch Lucky and Bingo, then what % of the people watch only Lucky?
a) 0 b) 5 c) 10 d) 20
Directions for questions 34-39. A museum curator must group 9 paintings-F,G,H,I,J,K,L,M,N,O
in 12 spaces numbered consecutively from 1-12. The paintings must be in
three groups, each group representing a different century. The groups must
be separated from each other by at least one unused wall space. Three of the
paintings are from the 18th century, two from the 19th century, and four
from the 20th century.
Unused wall spaces cannot occur within groups. G and J are paintings from
different centuries. J, K and L are all paintings from the same century.
Space no. 5 is always empty. F and M are 18th century paintings. N is a 19th
34. If space 4 is to remain empty which of the following is true?
a) Space no. 10 must be empty.
b) The groups of paintings must be hung in chronological order by century.
c) An 18th century painting must be hung in space 3.
d) A 19th century painting must be hung in space 1.
35. If the paintings are hung in reverse chronological order by century, the
wall spaces could be
a) 1, 5 and 10 b) 1, 6 and 10
c) 4, 7 and 8 d) 5, 8 and 12
36. Which of the following is a space that cannot be occupied by a 19th
a) Space 1 b) Space 6 c) Space 8 d) Space 11
37. If J hangs in Space 11, which of the following is a possible arrangement
spaces 8 and 9?
a) F in 8 and M in 9 b) K in 8 and G in 9
c) N in 8 and G in 9 d) 8 is unused and H in 9
38. If the 20th century paintings are hung in spaces 1-4 which of the
following cannot true?
a) Space 8 is unused b) Space 9 is unused
c) F is hung in space 6 d) N is hung in space 9
39. If the first paintings in numerical order of spaces are F, O, M, N, G
which of the Following must be
a) Either space 1 or space 4 is unused
b) Either space 7 or space 12 is unused
c) H hangs in space 11
d) Two unused spaces separate the 18th and 19th century paintings
40. You have reached Utopia where you find two kinds of precious stones,
rubies and emeralds. The
worth of a ruby and that of an emerald is Rs.4 lakhs and Rs.5 lakhs
respectively while their
weights are 0.3 kg and 0.4 kg respectively. You have a bag that can carry
maximum of 12 kgs.
How many rubies and emeralds would you carry such that their total value is
a) 20 rubies and 15 emeralds b) 8 rubies and 24 emeralds
c) 0 rubies and 30 emeralds d) none of the above