CTS Sample Test Paper

This is only a sample paper. We are not providing you with all the questions - just some questions to give you a general idea of the test



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


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 ) = ?


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.


Question consisting of figures - Pattern-matching type.

Refer R.S Agarwal's book on Analytical Reasoning & TMHs

Quantitative ability book by Edgar Thorpe.


In this section first part of compound word is given. Select meaning of the second part from the choice given:

1. Swan

2. Swans


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

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