3.2 Letter & Alpha-Numeric Series
Key Takeaways
- Map each letter to its position (A=1 … Z=26) before analysing — never eyeball letter patterns
- Anchor positions A=1, M=13, Z=26 let you derive any letter's position in seconds
- For reverse-alphabet questions, use the shortcut: reverse position = 27 − original position
- In mixed alpha-numeric series, analyse the letter and number parts independently
- Watch for wrap-around past Z and two interleaved rules — the same traps as number series
3.2 Letter & Alpha-Numeric Series
Quick Answer: Letter series questions replace numbers with alphabet positions. Map each letter to its position (A=1, B=2, …, Z=26), then apply the same difference/ratio logic as number series. Watch for skip patterns, reverse direction, and mixed letter+number sequences.
Letter series items are common on the verbal intelligence portion of the PAF GD Pilot Initial Test. They test the same pattern-recognition skills as number series but add the extra step of mapping letters to numbers.
The Letter-Position Map
Memorise this mapping — it is the foundation of every letter-series and coding question:
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | B | C | D | E | F | G | H | I | J | K | L | M |
| 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
A useful shortcut: A=1 and Z=26 are anchors; the 13th letter is M (the midpoint). From these three anchors you can derive any letter's position in seconds.
Step-by-Step Method
- Convert each letter to its position number. Write the numbers beneath the letters.
- Compute differences between consecutive positions, just as with number series.
- Identify the rule — constant difference (skip pattern), constant ratio, or a position-based formula.
- Check direction — the series may move forward (A→Z) or backward (Z→A). A backward series has negative differences.
- Apply the rule to find the next position, then convert back to a letter.
Worked Example 1 — Forward Skip
Sequence: A, C, E, G, ?
Positions: 1, 3, 5, 7. Differences: 2, 2, 2 (constant). Next position: 7 + 2 = 9 → I.
Worked Example 2 — Backward Skip
Sequence: Z, X, V, T, ?
Positions: 26, 24, 22, 20. Differences: −2, −2, −2 (constant). Next position: 20 − 2 = 18 → R.
Worked Example 3 — Increasing Skip
Sequence: A, B, D, G, K, ?
Positions: 1, 2, 4, 7, 11. Differences: 1, 2, 3, 4. The differences increase by 1 each step, so the next difference is 5. Next position: 11 + 5 = 16 → P.
Worked Example 4 — Alpha-Numeric (Mixed) Series
Sequence: A1, C3, E5, G7, ?
Split into a letter component and a number component:
- Letters: A, C, E, G → skip 1 forward → next letter is I
- Numbers: 1, 3, 5, 7 → +2 each → next number is 9
Answer: I9. In mixed series, always analyse the letter and number parts independently — they usually follow related but separate rules.
Skip-Pattern Reference Table
Most PAF letter-series items use a constant skip. Recognising the skip from the first two letters alone can save 5–10 seconds:
| Skip | Forward series | Backward series |
|---|---|---|
| +1 / −1 | A, B, C, D, … | Z, Y, X, W, … |
| +2 / −2 | A, C, E, G, … | Z, X, V, T, … |
| +3 / −3 | A, D, G, J, … | Z, W, T, Q, … |
| +4 / −4 | A, E, I, M, … | Z, V, R, N, … |
| +5 / −5 | A, F, K, P, … | Z, U, P, K, … |
A +2 skip lands only on odd-positioned letters (A, C, E, …); a +2 backward skip lands only on even positions reading down (Z, X, V, …). If the letters you see are all odd or all even, suspect a +2 / −2 rule before anything more exotic.
Worked Example 5 — Wrap-Around Past Z
Sequence: W, Y, A, C, E, ?
Positions: 23, 25, 1, 3, 5. At first glance the jump from 25 to 1 looks broken — but 25 + 2 = 27, and the alphabet wraps: 27 → 1 (A). So the rule is a constant +2 skip with wrap-around past Z. The next position is 5 + 2 = 7 → G. When a series seems to leap from near Z back to A, suspect wrap-around before declaring the pattern invalid — many candidates freeze here and burn 20+ seconds second-guessing a rule that is actually correct.
Traps to Avoid
- Wrapping past Z — if a forward series reaches Z (26) and the rule says +2, the next position is 28, which wraps to 2 (B). Always check whether the test uses wrap-around; most PAF items stop before Z, but a few deliberately test the wrap.
- Case insensitivity — treat uppercase and lowercase identically. 'a' and 'A' both equal 1. Do not be thrown by mixed case in the question stem.
- Reverse-direction series — a series that looks like it is increasing may actually be decreasing in position value if the letters move backward through the alphabet. Always compute positions; never eyeball.
- Two interleaved rules — just as with numbers, letter series can alternate two patterns (e.g., A, Z, C, X, E, V, ?). Split into odd and even positions: odd gives A, C, E (forward +2), even gives Z, X, V (backward −2). The next term (position 7, odd) is G.
- Vowel-only or consonant-only series — some items restrict the alphabet to vowels (A, E, I, O, U) or consonants. If the letters seem to skip in large blocks, check whether a subset is in play.
Speed Tips
- Memorise positions for the first 13 letters (A–M) cold; the second half mirrors them (N=14 is 13+1, O=15 is 13+2, etc., up to Z=26).
- For reverse-alphabet questions, use the shortcut: position of the reverse letter = 27 − position. So the reverse of D (4) is 27 − 4 = 23 = W.
- When a mixed series appears, write the letters and numbers on separate lines immediately — it prevents the two patterns from blurring together.
Find the next letter: A, C, E, G, ?
Find the next letter: Z, X, V, T, ?
Find the next pair: A1, C3, E5, G7, ?
Find the next letter: B, D, F, H, J, ?