CTS Questions 28th May 2004
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. 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 : 3
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(don’t 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?
Ans:12 km
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?
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 are
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 be8,7,6).
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?
Ans)A=5
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?Ans :1996
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?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,… 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 ½ 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 n) -1
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
26)
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]
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.Ans :37
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.
b)time taken
c)avg speed towards Mumbai and the avg speed towards
banglore.
Choices:
1)a only. 2) Ans a and b 3) a,b,c 4)b only 5)Ans 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? 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)…. 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 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 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 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 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?
(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 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 is
destructive.Inference?
(The remaining verbal questions are easy and they can be
answered by seeing the question carefully) |