Find the group of letters that best completes the analogy. Use alphabetical positions and reverse position logic where necessary. BEKQ : YVPJ :: CFGL : ?

Correct — B.
Rule: each letter becomes its opposite, and opposite positions add to 27 (A↔Z, B↔Y).

Check on the given pair: B(2)→Y(25), E(5)→V(22), K(11)→P(16), Q(17)→J(10).
Apply 27 − n to CFGL:

C(3) → 24 → X
F(6) → 21 → U
G(7) → 20 → T
L(12) → 15 → O

That gives XUTO → option (b).

Why the others are wrong

• (a)
  XUOM — XUOM gets X and U, then puts O third. G's opposite is T (27 − 7 = 20), and the final M is not L's opposite, O.
• (c)
  XUPM — XUPM puts P third, which is the opposite of K from the first pair, not of G. Its M also misses L's opposite, O.
• (d)
  XVPL — XVPL copies V and P from YVPJ instead of converting F and G, and leaves L unchanged. F's opposite is U and L's is O.

An opposite letter sits the same distance from the other end of the alphabet: A↔Z, B↔Y, C↔X. Its position is 27 − n, because the two positions always add to 27.

The stem's hint, 'reverse position logic', points here. Confirm the rule on every letter of the given pair before applying it: B, E, K and Q all map by 27 − n, so CFGL maps the same way, letter by letter and in order.

Key facts

• Opposite letter of position n is 27 − n: C → X, F → U, G → T, L → O.
• Opposite pairs: A-Z, B-Y, C-X, D-W, E-V, F-U, G-T, H-S, I-R, J-Q, K-P, L-O, M-N.
• The rule maps each letter separately, so CFGL keeps its order in XUTO.

Common traps

• Copying letters from the answer pair YVPJ instead of converting CFGL
• Using 26 − n instead of 27 − n, which lands one letter off (C would become W)

No directly related past PYQ was found.