Analogy Pattern Identification

This question type tests your ability to recognize patterns in letter sequences. We need to figure out the connection between the first pair of letters, 'DC', and the second pair, 'FA', and then use that same logic to find the correct pair for 'HE'.

Decoding the DC to FA Relationship

Let's examine the positions of the letters in the alphabet:

• D is the 4th letter.
• C is the 3rd letter.
• F is the 6th letter.
• A is the 1st letter.

Comparing the positions:

• For the first letter: D (4th) becomes F (6th). The difference is \(6 - 4 = 2\). This means the first letter moves 2 places forward in the alphabet.
• For the second letter: C (3rd) becomes A (1st). The difference is \(1 - 3 = -2\). This means the second letter moves 2 places backward in the alphabet.

So, the pattern is: The first letter shifts forward by 2 positions, and the second letter shifts backward by 2 positions.

Applying the Pattern to HE

Now, we apply this identified pattern (+2 for the first letter, -2 for the second letter) to the pair 'HE':

• The first letter is H, which is the 8th letter in the alphabet. Shifting it forward by 2 positions: \(8 + 2 = 10\). The 10th letter is J.
• The second letter is E, which is the 5th letter in the alphabet. Shifting it backward by 2 positions: \(5 - 2 = 3\). The 3rd letter is C.

Following this pattern, 'HE' transforms into 'JC'.

Final Answer Selection

The derived pair 'JC' matches option 4.