What comes next? AX, JQ, SJ, ?
- (a)BA
- (b)BC
- (c)ZC
- (d)YC
Answer
Why
Correct — B.
Rule: first letters +9, second letters −7.
First: A(1) → J(10) → S(19) → 19 + 9 = 28, and 28 − 26 = 2 → B
Second: X(24) → Q(17) → J(10) → 10 − 7 = 3 → C
Next pair: BC → option (b).
Why the others are wrong
- (a)BA — BA gets the first letter right but ends in A (1), which is J − 9. The second letters fall by 7 each step, and J − 7 is C.
- (c)ZC — ZC stops the first letter at Z (26), which is S + 7. The first letters jump by 9, which carries S past Z to B.
- (d)YC — YC puts Y (25) after S, a jump of 6. The first-letter step is +9 (A → J → S), so the next letter wraps past Z to B.
Concept
In a letter-pair series, track each position on its own. Turn letters into numbers (A = 1 … Z = 26), find the step for the first letters and the step for the second letters, and continue each separately.
When a step carries a letter past Z, subtract 26 to wrap back to the start: 19 + 9 = 28 → 2 = B. When it goes below A, add 26.
Key facts
- Anchor positions: E5, J10, O15, T20, Y25.
- Wrap past Z by subtracting 26: S(19) + 9 = 28 → B(2).
- Each position in a letter-pair series can follow its own step, here +9 and −7.
Study next
Common traps
- Spotting that J and Q are opposite letters (10 + 17 = 27) and hunting for opposite pairs: AX and SJ are not opposites
- Stopping at Z instead of wrapping: S + 9 runs past Z and lands on B
12 Sep 2025, 09:00, Reasoning Q.5 wraps the same way: its middle letters R, U, X step +3 to A and then D, keyed NDN.
15 Sep 2025, 16:00, Reasoning Q.4 wraps whole clusters: RST, UVW, XYZ, keyed ABC.
Related PYQs
No directly related past PYQ was found.