Select the pair that follows the same pattern as that followed by the two…

In a letter-pair analogy where two example pairs are stated to follow the same pattern, every letter of the first word is shifted by a fixed number of alphabet positions to produce the corresponding letter of the second word, and this shift is fixed separately for each letter position (first letter, second letter, third letter) across every valid pair in the set. So the fixed sequence of position-wise shifts must first be extracted from the given examples, and then the one answer option that reproduces exactly that same sequence on its own two words is the match.

1. Convert each letter to its position in the alphabet, A = 1, B = 2, ..., Z = 26.

2. For PTL : LYQ, compare the letters position by position: P (16) to L (12) is a shift of -4; T (20) to Y (25) is a shift of +5; L (12) to Q (17) is a shift of +5.

3. For FNP : BSU, the same three shifts recur: F (6) to B (2) is -4; N (14) to S (19) is +5; P (16) to U (21) is +5.

4. Both given pairs therefore follow the identical position-wise shift sequence of -4, +5, +5, so the matching option must reproduce exactly this sequence on its own three letters.

Applying the same three shifts to each option's own letters:

Only STS : OYX reproduces the required -4, +5, +5 sequence at all three letter positions; every other pair breaks the sequence at one or more positions. So STS : OYX is the pair that follows the same pattern as PTL : LYQ and FNP : BSU.