CTS aptitude questions
SECTION I - 8 questions based on series.
1. These questions involve interchange of letters in a word
at particular locations and also interchanging letters
adjacent to those particular locations.Certain other
conditions may also be given
For eg.
Let the word be ABBAABA
If we apply 25 on this, it means we have to interchange the
letters at positions 2 and 5, also we have to change the
letters adjacent to positions 2 and 5 i.e.from A to B and B
to A.
A B B A A B after Step 1 i.e interchange of 2 and 5 becomes
AABABB
Now change adjacent elements of 2 and 5...finally answer
becomes
Ans: B A A B B A
Questions 1-5 are based on the pattern with changed numbers
as described above
Questions 6-8 are of the following type
To get AAABBD from BBBAAA what number should be applied:-
a) 25
b) 34
c) 25 & 34
d) none
SECTION II
CTS numerical ability questions
1. Given the following functions
(1) f(n a b c ) = ac if n=1
(2) f(n a b c) = f( n-1 a c b) + f( 1 a b c) + f( n-1 b a
c ) if n > 1
Then what is the value f( 2 a b c ) = ?
Ans: f( 2 a c b ) = ab + ac + bc.
2. Similar question on functions.
3. [ Based on the function in the first question] For the
function f( 4 a b c ) the number of terms is...?
Hint f( 4 a b c ) = f( 3 a c b ) + f( 1 a b c ) + f( 3 b a
c ) etc.
4. What is the value of the function f( 5 a b c ) = ?
SECTION III
CTS mathematical questions
Permutations and Combinations.
8 Questions.
1. r = number of flags;n = number of poles;
Any number of flags can be accommodated on any single pole.
1) r=5,n=5 The no. of ways the flags can be arranged ?
Questions 2-5 are based on the above pattern
6. r = 5 n = 3 . If first pole has 2 flags, third pole has
1 flag
How many ways can the remaining be arranged?
Questions 7.& 8. are similar to Question 6.
SECTION IV
Question consisting of figures - Pattern-matching type.
Refer R.S Agarwal's book on Analytical Reasoning & TMHs
Quantitative ability book by Edgar Thorpe.
SECTION V
Aptitude questions
In this section first part of compound word is given.
Select meaning of the second part from the choice given:
1. Swan
2. Swans
3. Fool
4. Fools
5. Stare
6. Lady
For all above 4 choices are given.....
Eg. Swan ---> Swansong (compound word)
a) category b) music c) television d) none
Ans: Swansong is compound word. But song is not given as an
option. so (b) music is the answer.
CTS Sample Test Paper#3
Analogies
1. slur : speech : : smudge :?
Ans. writing
2. epaulet : shoulder : : ring :?
Ans.finger
3. vernacular : place : : fingerprint : ?
Ans.identical
Opposites
Q. corpulent
Ans: emaciated
Q. officious
Ans: pragmate
Q. dextrous
Ans: clumsy
The following sentences are broken into 4 sections- A, B, C, D
Choose the part which has a mistake
Mark (E) if you find no mistake.
Q.A)psychologists point out that B)there are human processes C)which does not involve
D) the use of words
Ans. (C) which does not involve (do)
Q.A)jack ordered for B)two plates of chicken C)and a glass D)of water
Ans. (A)jack ordered for
The following is a group of questions is based on a passage or a set of conditions for
each question.
Select the best answer choice given.
(i). If it is fobidden by law if the object of agreement is the doing of an act,
that is forbidden by law the agreement is void.
(ii). If it is of the nature that,it would defeat the provision of any law
is the agreement is void.if the object of agreement is such that thing got
directly forbidden by law it would defeat the provision of statuary law.
(iii). If the object of agreement is fraddulent it is void.
(iv). An object of agreement is void if it involves or implies to the personnal property of
another.
(v). An object of agreement is void where the constant regards as ignored.
(vi). An object of agreement is void where the constant regards is as opposed to public
policy.
Q. An algorithm follws a six step process za,zb,zc,zd,ze,zf, it is governed by the
following
(i) zd should follow ze
(ii) the first may be za,zd or zf
(iii) zb and zc have to be performed after zd
(iv) zc must be immediately after zb
Q. If za is the first set zd must be
a) 3rd
b) 5th
c) 2nd
d) 4th
Q. If zb must follow za then za can be
a) third or fourth
b) first or second
c) can not be third
d) fouth or fifth
e) none
Q. If ze is third term the number of different operations possible are
The following questions are based on the given statements
Ravi plants six seperate saplings -- x,y,z,w,u,v in rows no 1 to 6 ,according to the
follwing conditions
He must plant x before y and u
He must plant y and w
The third has to be z
Q. Which of the following is acceptable
a) xuywzv
b) xvzyuw
c) zuyxwv
d) zvxuwy
e) wyzuvx
Q. Which of the following is true
a) z before v
b) z before x
c) w before u
d) y before u
e) x before w
Q. If he plants v first, then which can be planted second
a) x
b) y
c) z
d) w
e) u
Q. Which of the following describes a correct combination of sapling and row?
a) x,3
b) y,6
c) z,1
d) w,2
e) u,6
Q. If he plants b 6th which would be planted first and second
a) x and w
b) x and y
c)y and x
d)w and z
e) w and u
Q. If he plants w before u and after v he should plant w at
a) first
b) second
c) fourth
d) fifth
e) sixth
Q. At a certain moment a watch shows 2 min lag although it is running fast.
If it showed a 3 min lag at that moment, but also gains by 1/2 min more a day than its
current speed
it would show the true time one day sooner than it usually does.
How many mins does the watch gain per day.
a).2
b).5
c).6
d).4
e).75
Q. In 400m race A gives B a start of 7 sec and beats him by 24 sec.
In another race A beats B by 10 sec.the speeds are in the ratio
a)8:7
b)7:6
c)10:8
d)6:8
e)12:10
Q. 3x+4y=10
x3 + y3=6
What is the minimum value of 3x+11y=?
Q. There are 600 tennis players
4% wear wrist band on one wrist
Of the remaining, 25% wear wrist bands on both hands
How many players don't wear a wrist band?
Ans. 432
Q. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.
How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg,
given that the quntities of band c are equal
a)70,15,15
b)50,25,25
c)60,20,20
d)40,30,30
Ans. (b)
Q. Two distinct no's are taken from 1,2,3,4......28
Find the probability that their sum is less than 13
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