Which of the four options will replace the question mark (?) in the following series? FX32, EV38, DT44, CR50, ?

Correct — A. Each term has three independent parts, so track them one at a time.

First letters: F, E, D, C — one step back each time → B.
Second letters: X, V, T, R — two steps back each time → P.
Numbers: 32, 38, 44, 50 — +6 each time → 56.

Reassembling the three parts gives BP56 → option (a).

Why the others are wrong

• (b)
  CR54 — CR54 repeats the fourth term's letters CR untouched and adds 4 rather than 6. Both letters have to move on.
• (c)
  DP55 — P is the right second letter, but the first letter must fall back to B — C moves one step back, it does not rise to D. The 55 is also a step of 5.
• (d)
  CQ55 — C repeats the fourth term's first letter instead of falling back to B, Q is one step from R rather than two, and 55 is a +5 step.

Mixed letter-number series are three small series printed side by side. Solve them separately, then reassemble the answer.

Write the alphabet positions out. F=6, E=5, D=4, C=3 is a plain −1, and X=24, V=22, T=20, R=18 is a plain −2. Neither column wraps past A here, so no modular arithmetic is needed.

The number part is ordinary arithmetic: 32, 38, 44, 50, each step +6.

Key facts

• Alphabet positions: F=6, E=5, D=4, C=3, B=2.
• Alphabet positions: X=24, V=22, T=20, R=18, P=16.
• The number part runs 32, 38, 44, 50, 56 — a constant +6.

Common traps

• Moving both letters at the same rate, which gives BQ at −1 each or AP at −2 each rather than BP
• Adding 4 or 5 to 50 instead of the constant 6
• Reading X, V, T, R forwards and expecting T to follow R

No directly related past PYQ was found.