CTS Off Campus Aptitude Test Questions Paper
Paper
colour:pink
There
are 60 questions to be answered in 60 minutes
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.
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?
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?
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:70.
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?
Product
of Prime no. between 1 to 20?
Find
out the total numbers between 1 to 999 that are neither divisible by
8 nor by 12?
Find
out the distinct numbers that can be formed by 2, 3, 7, 6(don’t
now exactly) that should be divided by 4?
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 (or) Balls?
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 are
He
may not lose
He
may lose
He
always loses
Cannot
be Determined
Three
men A,B,C can complete a work separately in some specified days(may
be6,7,8).
If
they do the work together by alternate days. Then how many days need
to complete the work?
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?
Ans)A
15)who started
with greatest amount of money?
Ans)B
16)what
amount did B have?
Ans)93
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 was 23.
How
many houses in the street?
Ans)32
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?
19)A
batsman average was 15.at last innings he took 23 runs then his
average became
16.how
much run he should take to make his average 18?
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 as A || 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?
22)The
houses are numbered 1,2,3,… 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.
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 ½ apples to his third customer
and so on. This repeats up to 7th customer and no more apples are
remaining. Find the total no of apples he had.
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?
25)
If a 36 cm thread is used to wrap a book, lengthwise twice and
breadth wise once, what is the size of the book?
26)
the
various degrees of the vertices are marked in the dig. Find y.
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?
28)A
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 unoccupied.
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?
30)
if u r traveling from Mumbai to Bangalore and return back .To find
the speed of the car which of the following r needed.
a)
The distance between them.
b)
Time taken
c)
Avg speed towards Mumbai and the avg speed towards Bangalore.
Choices:
1)
a only. 2) a and b 3) a,b,c 4)b only 5) c only ( ans not in order)
31)
(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?
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)…. Ans: 47.5 min
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)isosceles
b)right angle c)equilateral d)right angle and isosceles.
34)
When
the angle a, b, c, d are given find x.
35)
One question is given for explaining the working of cornea (in eyes)
& the window
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
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
didn’t mention that circles have radius=1/2 side of a square)
Ans:
intermediate
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 super feeder-the eagle. The size of the
ecosystem is determined by its population. But this has been proved
false.
What
can you infer from above?
(4
choices)
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 infer?
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.
Inference?
42)
In a poultry form because of cloning, a large breed of hens was
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 is destructive.
Inference?
(The
remaining verbal questions are easy and they can be answered by
seeing the question carefully)