PLACEMENT PAPERS 12

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.