In a certain code, MOTHER is written as NLGSVI. Using the same code, it follows:

(A) ANSWER : ZMHDVI
(B) STATES : HGZGVH

Choose the correct option:

Both (A) and (B)

The correct answer is Option (3) → Both (A) and (B)

To solve this, we first need to identify the pattern used to code MOTHER as NLGSVI.

1. Identify the Pattern

If we look at the positions of the letters in the English alphabet, we can check if they are "Opposite Pairs" (where the sum of their positions is 27, like A=1 and Z=26).

The pattern is Opposite Letters.

2. Evaluate Statement (A): ANSWER → ZMHDVI

Let's apply the opposite letter rule to ANSWER:

• A (1) → Z (26)
• N (14) → M (13)
• S (19) → H (8)
• W (23) → D (4)
• E (5) → V (22)
• R (18) → I (9)

Result: ZMHDVI. Statement (A) is Correct.

3. Evaluate Statement (B): STATES → HGZGVH

Let's apply the opposite letter rule to STATES:

• S (19) → H (8)
• T (20) → G (7)
• A (1) → Z (26)
• T (20) → G (7)
• E (5) → V (22)
• S (19) → H (8)

Result: HGZGVH. Statement (B) is Correct.

Conclusion

Since both applications of the code are accurate, the correct answer is: Both (A) and (B)