Letter Analogy Explained: AD:CF :: EH:?

This question tests your ability to identify patterns in letter sequences. We need to find the relationship between the letters in the first pair (AD) and apply the same logic to the second pair (EH) to find the missing letters.

Analyzing the First Pair: AD

• The first letter is 'A'. In the English alphabet, 'A' is the $1^{st}$ letter.
• The second letter is 'D'. In the English alphabet, 'D' is the $4^{th}$ letter.
• To get from 'A' to the next letter in the pair ('C' in CF), we move 2 positions forward ($1 + 2 = 3$). 'C' is the $3^{rd}$ letter.
• To get from 'D' to the next letter in the pair ('F' in CF), we also move 2 positions forward ($4 + 2 = 6$). 'F' is the $6^{th}$ letter.

The established pattern is that each letter in the first pair is shifted forward by 2 positions in the alphabet to get the corresponding letter in the second pair (A -> C, D -> F).

Analyzing the Second Pair: EH

Now, we apply the same "+2 positions" rule to the second pair, EH:

• The first letter is 'E'. In the English alphabet, 'E' is the $5^{th}$ letter.
• The second letter is 'H'. In the English alphabet, 'H' is the $8^{th}$ letter.

Applying the Pattern to EH

Applying the "+2" rule:

• For the first letter 'E': $5 + 2 = 7$. The $7^{th}$ letter of the alphabet is 'G'.
• For the second letter 'H': $8 + 2 = 10$. The $10^{th}$ letter of the alphabet is 'J'.

Therefore, the missing pair is GJ.

Conclusion: Matching the Pattern

Comparing our result with the options:

• Option 1: GJ - This matches our calculated pair.
• Option 2: IK
• Option 3: FI
• Option 4: HJ

The correct option that follows the identified pattern (shifting each letter forward by 2 places) is GJ.