Complete the series. A1, C2, E3, G4, ?
- (a)J5
- (b)K5
- (c)H5
- (d)I5
Answer
Why
Correct — D.
Rule: letters move +2, numbers move +1.
Letters: A(1), C(3), E(5), G(7) → next is I(9).
Numbers: 1, 2, 3, 4 → next is 5.
Put together: I5 → option (d).
Why the others are wrong
- (a)J5 — J is G + 3. The number 5 fits, but the letters step by 2 (A, C, E, G), so the letter after G is I.
- (b)K5 — K is G + 4, two places too far. Only the number part, 5, follows the series. The letter must be I.
- (c)H5 — H is G + 1: it moves the letter by the number step. The letters jump 2 places each time, so after G comes I.
Concept
A term such as C2 carries two sequences side by side: a letter and a number. Split every term into its two parts and find the step of each part separately.
Here the letters take the odd alphabet positions 1, 3, 5, 7, so the next is position 9, I. The numbers simply count up to 5. Join the two parts only at the end.
A quick check: in every term the letter's position is 2 × number − 1. C is 3 = 2 × 2 − 1, G is 7 = 2 × 4 − 1, and I is 9 = 2 × 5 − 1.
Key facts
- A = 1, C = 3, E = 5, G = 7, I = 9: the first five odd alphabet positions.
- The numbers 1, 2, 3, 4, 5 equal each term's place in the series.
- E = 5, J = 10, O = 15, T = 20 are quick anchors for counting alphabet positions.
Study next
Common traps
- Moving the letter by the number step (+1) and choosing H5
- Skipping two letters after G (H and I) instead of one, which lands on J
16 Sep 2025, 09:00, Reasoning Q.12 runs the letters backwards: Z1, Y2, X3, W4, keyed V5.
24 Sep 2025, 12:30, Reasoning Q.13 asks which term breaks A5, C7, E9, G11, I10, keyed I10 (the pattern needs I13).
Related PYQs
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