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CTS Placement Paper
There are 60 questions to be answered in
In a club there are certain no. of males and females. If 15 females are absent
then no. of males will be twice that of females. If 45 males are absent then
female strength will be 5 times that of males. Find no. of males actually
present. Ans : Males 80,Females 175
Three men A, B, C plays Cards. If one loses the game he have to give Rs.3. If he
wins the game he will gain Rs.6. If A has won 3 Games, B loses Rs.3, C wins
Rs.12.What is the total no. of games played? Ans :
A can swim & cross 50m(the length of swimming pool) in 2 min. B can swim
& cross 50m in 2min 15sec. Every time when they meet a bell gong is struck.
For 2000m how many bell sounds might be produced? Ans : 37
When I was married 10 years ago my wife is the 6th member of the family. Today
my father died and a baby born to me. The average age of my family during my
marriage is same as today. What is the age of Father when he died? Ans : 60
There are 9 balls of equal size and same weight(they look similar) except 1. How
may weighs required to find the dissimilar ball using a weighing balance? Ans :
Product of Prime no. between 1 to 20? Ans 9699690
Find out the total numbers between 1 to 999 that are neither divisible by 8 nor
by 12? Ans :833
Find out the distinct numbers that can be formed by 2, 3, 7, 6(donít now
exactly) that should be divided by 4? Ans :8
Two trains at speed 60 km/hr comes in the opposite direction. At a particular
time the distance between the two trains is 18km. A shuttle flies between the
trains at the speed of 80 km/hr. At the time the two trains crashes what is the
distance traveled by shuttle?
There are n urns and m balls. If we put 3 balls in each urn 3 balls will be
excess. If we put 4 balls in each urn 1 urn will be excess. Find no. of Urns
ANS:7 URNS & 24BALLS.
Find the area not occupied by circles:
Given length =y breadth =x (Answer: 3x2(1-pie/4))
A man gets x/y of Rs.10 and y/x of Rs.10. He returns Rs.20. The Answer choices
a) He may not lose Ans He never losses
b) He may lose
c) He always loses
d) Cannot be Determined
Three men A,B,C can complete a work separately in some specified days(may
If they do the work together by alternate days. Then how many days need to
complete the work? Ans 7 1/8
14)Four Members A,B,C,D are playing a game .A person losing a game should double
the amount of others .B,C,D are losing in order after three games .The amount
after 3 games are A&B having 40,D is having 16&C 80.
Each questions carry one mark:
a) who started with small amount of money?
15)who started with greatest amount of money?
16)what amount did B have?
Hint: I solved and found the answers to be A->5,B->93
17)There are some houses in a street back to back .And they that house behind 10
How many houses in the street?
18)There are 1997 doors in a auditorium and as many as people as the no of doors
open enter the auditorium .A door was closed and as many as people as no of
doors open leave the auditorium . the process was repeated till the no of doors
is equal to1.find the total no of peoples enter the auditorium?Ans :1996
19)A batsman average was 15.at last innings he took 23 runs then his average
16.how much run he should take to make his average 18?Ans 39
20)Find the number WXYZ divisible by 36?
i)let the digits be5,4,3,6 -not in that order
ii)sum of last two digits is 9
iii) sum of middle two digits is 7
->if one is sufficient then ans asA || if two is sufficient then ans as B||if
all are necessary then ans as C|| if nothing is needed then ans as D
21)X and Y live in a North-South parallel street. X travels 10 km towards North
to reach the east-west street . Y travels 6 km towards south to reach the east
-west street . X travels now 4km towards east and y travels 8km towards west and
they met each other. What is the distance between x and y? Ans : 20km
22)The houses are numbered 1,2,3,Ö and reach the end of the street and
backtracks toward s the starting point. The house numbered 10 is opposite to 23.
there are even no of houses. Find the total no of houses.Ans :32
23)A seller has a set of apples out of which he sells one half of it and half an
apple to his first customer.then he sells half of the remaining apples and a
half apple to his second customer.Then he sells half of the remaining apple and
Ĺ apple to his third customer and so on.This repeats upto 7th customer and no
more apples are remaining . Find the total no of apples he had. Ans :127 (2 pow
24) A hollow cube of size 5cm is taken , with the thickness of 1cm . it is made
of smaller cubes of size 1cm . if the outer surface of the cube is painted how
many faces of the smaller cubes remain unpainted?Ans 438
25)if a 36 cm thread is used to wrap a book , lengthwise twice and breadthwise
once, what is the size of the book? Ans 7,4 & 8,2 Area 6
the various degrees of the vertices are marked in the dig. Find y Ans =54
27)if 4 circles of equal radius are drawn with vertices of a square as the
centre , the side of the square being 7 cm, find the area of the circles outside
the square? Ans 3 pie r pow 2 [461.58]
2A bus has 40 seats and the passengers agree to share the total bus fare among
themselves equally. If the total fair is 80.67 , find the total no of the seats
29) A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are
repeated.Find the possible no of combinations divisible by 36? Ans :0
30) if u r traveling from Mumbai to banglore and return back .To find the speed
of the car which of the following r needed.
a)the distance between them.
c)avg speed towards Mumbai and the avg speed towards banglore.
1)a only. 2) Ans a and b 3) a,b,c 4)b only 5)Ans c only ( ans not in order)
( Diagram drawn approximate not to scale.)
if all the blocks are squares and the complete fig is also a square and the area
of the a is 1 cm2,b=81 cm2what is the area of i? Ans = 324
32) A secret can be told only 2 persons in 5 minutes .the same person tells to 2
more persons and so on . How long will take to tell it to 768 persons ?
a)47.5 min b)50 min c) 500 min d)Ö. Ans: 47.5 min ......35min
33) Three birds cross a point in a same st. line and of that 2 fly in opposite
directions. If a triangle is formed with the position of the birds what kind of
the triangle will be formed?
a) Ans If same speed isosceles b)right angle c)equilateral d)right angle and
when the angle a, b, c, d are given find x.
35) One question is given for explaining the working of cornea (in eyes) &
Ans: drawing analogy
36) m<n, & x<y which of the following is definitely false
a)m-n < x-y b)m+n < x+y
c)&d) Similar options using all 4 variables Ans : x-m<y-n
37)Four circles are drawn from the corners of a square of area 49 cm2 . Find the
area of 4 circles outside the square
(they didnít mention that circles have radius=1/2 side of a square)
38)In a pond ecosystem,large fishes and small fishes will be there.If we want to
remove small amount of pollutants,small fishes are to be employed.In a
food-chain food passes through a number of mouths and en route the mouth of the
superfeeder-the eagle.The size of the ecosystem is determined by its
population.But this has been proved false.
What can you infer from above?
39)In Bangalore,during income tax deduction for a single person,the percentage
increased by 3% and for middle house-holders,it decreased by 3%.What can you
40)In China,Mao-Tse -Tung was responsible for organizing its people and taking
China into success path.It evolved into a great economic power by improved
industrial and economical statistics.China prospered in those years,but_________________
Which of the following best completes the sentence?(4 choices)
41)A ridge formed over Pacific Ocean was because of the intersection of two
volcanoes.But in history it was written that it was not due to those
volcanoes.It proves a contradictory to form the view that history will be proved
wrong in the future.
42)In a poultry form because of cloning,a large breed of hens were produced.This
increased the production but the maintenance was very difficult because of the
large number.This does not mean that cloning is a disaster in the scientific
world but it is a tool which in some ways is constructive but in other ways ,it
(The remaining verbal questions are easy and they can be answered by seeing the
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