Question

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.

## 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 @

• A. TVKGA
• B. TVGKA
• C. AVKGT
• D. AVGKT

Answer 1

Answer:

D. AVGKT

The correct code combination for 8 $5 2 @</span></b> is <b><span>A V G K T</span></b>.</p><ol style="color: rgb(0,0,0);"><li><p data-pxy="true" style="color: rgb(0,0,0); margin-top: 2px; margin-bottom: 2px;"><b><span>Find the Base Codes from the Table:</span></b><br>Let's find the direct letter code for each element in the sequence <b><span>8$ 5 2 @:

• 8 → T

• $ → V

• 5 → K

• 2 → G

• @ → A

Base Code Sequence: T V K G A

Check the Conditions:

• Condition (i): The first element (8) is a number and the last element (@) is a symbol. This condition applies, which means the codes for the first and last elements must be interchanged (T and A swap places).

• Condition (ii): The first element (8) is an even number, but the last element (@) is a symbol, not an odd number. This condition does not apply.

• Condition (iii): The third element (5) and the fourth element (2) are both prime numbers (note that 2 is the smallest prime number). Therefore, this condition applies, which means the fourth element is coded as the code for the third element, and vice-versa. Since swapping K and G results in their positions switching, the middle part changes from K G to G K.

Apply the Changes:

• Interchanging the first and last letters transforms T V K G A into A V K G T.

• Applying the prime number swap on the third and fourth letters transforms A V K G T into A V G K T.