In this question, a group of numbers/symbols is coded using letters as per the table given below and the conditions which follow. The correct combination of codes following the conditions is your answer.

Number/Symbol

4

∝

5

9

÷

±

8

$

!

3

@

6

7

2

Code

C

G

K

Q

W

R

T

V

X

D

A

E

H

G

Conditions:
(i) If the first element is a number and the last, a symbol, the codes for these two (the first and the last elements) are to be interchanged.
(ii) If the first element is an EVEN number and the last, an ODD number, the first and last elements are to be coded as !
(iii) If both the third and the fourth elements are prime numbers, the fourth element is to be coded as the code for the third element and vice-versa.
Question: 8 $ 5 2 @

​According to the given information:

The given code is: 8 $ 5 2 @

​Applying Conditions:

​Condition (i): If the first element is a number and the last, a symbol, the codes for these two (the first and the last elements) are to be interchanged.

In our sequence, 8 (number) is the first element and @ (symbol) is the last element.

We interchange T and A.

Sequence after interchange: A V K G T

Condition (ii): If the first element is an EVEN number and the last, an ODD number, the first and last elements are to be coded as !.

The first element is 8 (even) and the last element is @ (symbol, not an odd number), so this condition doesn't apply.

​Condition (iii): If both the third and the fourth elements are prime numbers, the fourth element is to be coded as the code for the third element and vice-versa.

5 (prime) is the third element, and 2 (prime) is the fourth element.

We interchange the codes K and G.

Sequence after interchange: A V G K T

Thus, correct answer is (d) AVGKT

​