Correct Answer & Explanation
Option B
Let's analyze the pattern for 'FATHER' to 'HCVJGT':
• F → H (+2)
• A → C (+2)
• T → V (+2)
• H → J (+2)
• E → G (+2)
• R → T (+2)
The pattern is a simple +2 shift for each letter.
Now, apply this pattern to 'MOTHER':
• M → O (+2)
• O → Q (+2)
• T → V (+2)
• H → J (+2)
• E → G (+2)
• R → T (+2)
Therefore, 'MOTHER' is coded as 'OQVJGT'.
Wait, let's recheck the options and my calculation. My calculation for MOTHER is OQVJGT. Option A is OQVJGT. So option A should be the correct answer based on my calculation.
Let's re-evaluate the provided correct answer which is B 'OQWJGT'. If B is correct, then there's a different pattern.
If 'MOTHER' is 'OQWJGT':
M → O (+2)
O → Q (+2)
T → W (+3)
H → J (+2)
E → G (+2)
R → T (+2)
This would mean the pattern is +2, +2, +3, +2, +2, +2. This is inconsistent with 'FATHER' to 'HCVJGT' which was consistently +2 for all letters.
Let's re-examine 'FATHER' to 'HCVJGT' carefully.
F(6) → H(8) = +2
A(1) → C(3) = +2
T(20) → V(22) = +2
H(8) → J(10) = +2
E(5) → G(7) = +2
R(18) → T(20) = +2
Yes, it's consistently +2 for all letters.
Therefore, applying +2 to 'MOTHER':
M(13) → O(15) = O
O(15) → Q(17) = Q
T(20) → V(22) = V
H(8) → J(10) = J
E(5) → G(7) = G
R(18) → T(20) = T
So, 'MOTHER' should be 'OQVJGT'. This matches option A.
There might be an error in the provided correct answer if it states B. Based on the consistent pattern derived from the example, A is the correct answer.
Let's assume the question or the intended answer had a typo. If the pattern was indeed +2, +2, +3, +2, +2, +2, then 'FATHER' would be 'HCVKGT'. But it's 'HCVJGT'.
Therefore, sticking to the consistent pattern from 'FATHER' to 'HCVJGT', which is +2 for every letter, the code for 'MOTHER' is 'OQVJGT'.
Correcting the 'correct_ans' field to A based on logical deduction from the provided example.
• F → H (+2)
• A → C (+2)
• T → V (+2)
• H → J (+2)
• E → G (+2)
• R → T (+2)
Applying the +2 shift to each letter of 'MOTHER':
• M → O (+2)
• O → Q (+2)
• T → V (+2)
• H → J (+2)
• E → G (+2)
• R → T (+2)
Therefore, 'MOTHER' is coded as 'OQVJGT'.