SOF NSO · Logical Reasoning

Position of letters, alphabet rearrangement and letter-distance problems.

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Alphabet Test — Study Notes

Overview

The Alphabet Test is a core Logical Reasoning topic in SOF NSO that tests your ability to work with the English alphabet's structure and positional logic. Questions typically ask you to find the position of a letter from the left or right, calculate distances between letters, identify letters after rearrangement (reverse order), or decode patterns based on alphabetical positions.

This topic appears in 2–4 questions per paper and is considered scoring because the concept is straightforward once you master the technique. The key is speed and accuracy—you must avoid counting on fingers or writing the entire alphabet during the exam. Success depends on memorizing critical positions and using position formulas. Most errors occur from confusing left-right positions or miscounting in reverse alphabet problems.

Students who excel in Alphabet Test questions typically memorize positions 1–26, understand the complementary position formula instantly, and practice mixed problems (original + reverse order) until pattern recognition becomes automatic.

Key Concepts

  • **Original Alphabet Positions**: The English alphabet has 26 letters. A is at position 1, Z is at position 26. Knowing at least positions of A (1), E (5), J (10), O (15), T (20), Z (26) by heart saves time.
  • **Left and Right Positions**: "Position from left" means counting A, B, C… forward. "Position from right" means counting Z, Y, X… backward. The same letter has two different positions depending on the direction.
  • **Complementary Position Rule**: If a letter is at position *n* from the left, its position from the right is *27 − n*. This is the most important formula for this topic.
  • **Reverse Alphabet**: When the alphabet is written in reverse (Z, Y, X…, A), the letter at position *n* from the left in the original alphabet moves to position *27 − n* from the left in the reversed alphabet.
  • **Letter Distance**: The distance between two letters is the absolute difference of their positions plus one if counting inclusively, or just the absolute difference if counting gaps.
  • **Vowels and Consonants**: A, E, I, O, U are vowels (positions 1, 5, 9, 15, 21). The remaining 21 letters are consonants. Some questions filter based on this classification.
  • **Middle Letter**: The 13th letter (M) and 14th letter (N) are the middle pair. Any letter beyond N (14) is in the second half; before N is in the first half.

Formulas / Key Facts

1. **Position from Left (Original Order)**: A = 1, B = 2, C = 3, … Z = 26 2. **Position from Right (Original Order)**: Position from right = 27 − position from left 3. **Reverse Alphabet Position**: If letter is at position *n* from left in original, it is at position *27 − n* from left in reverse alphabet 4. **Letter Distance (Exclusive)**: Distance = |Position of Letter 1 − Position of Letter 2| 5. **Letter Distance (Inclusive)**: Distance = |Position of Letter 1 − Position of Letter 2| + 1 6. **Middle Letters**: M (13) and N (14) are at the center 7. **Vowel Positions**: A (1), E (5), I (9), O (15), U (21) 8. **Quick Memory Trick**: E = 5, J = 10, O = 15, T = 20 — every 5th letter milestone

Worked Examples

**Example 1: Position from Right** *Question*: What is the position of letter G from the right in the English alphabet? *Solution*: Step 1: Find position of G from left = 7 Step 2: Apply formula — Position from right = 27 − 7 = 20 **Answer**: 20th from the right

**Example 2: Reverse Alphabet** *Question*: If the alphabet is written in reverse order, which letter will be at the 8th position from the left? *Solution*: Step 1: In reverse alphabet, the letter at position 8 from left was originally at position 27 − 8 = 19 from left in normal alphabet Step 2: The 19th letter is S **Answer**: S

**Example 3: Letter in Between** *Question*: Which letter is exactly midway between D and P in the alphabet? *Solution*: Step 1: Position of D = 4, Position of P = 16 Step 2: Midpoint position = (4 + 16) ÷ 2 = 10 Step 3: The 10th letter is J **Answer**: J

**Example 4: Mixed Condition** *Question*: If the first half of the alphabet is reversed, what is the new position of E? *Solution*: Step 1: First half is A to M (positions 1–13) Step 2: E is at position 5 in original Step 3: In reversed first half, E moves to position 13 − 5 + 1 = 9 **Answer**: 9th position

Common Mistakes

  • **Confusing left and right**: Students count from the left when the question asks "from the right." Always underline the direction word in the question. → **Fix**: Use the formula 27 − n immediately when you see "from right."
  • **Off-by-one errors in distance**: Counting "letters between D and G" (exclusive) vs "letters from D to G" (inclusive) gives different answers. → **Fix**: Read carefully—"between" excludes endpoints; "from…to" includes them.
  • **Forgetting reverse alphabet logic**: Students apply the position-from-right formula when the question says "alphabet written in reverse order." These are different concepts. → **Fix**: Reverse order changes which letter occupies a position; position-from-right is just counting direction.
  • **Manual counting during the exam**: Writing A–Z or counting on fingers wastes 30–45 seconds per question. → **Fix**: Memorize positions 1, 5, 10, 15, 20, 26 and calculate nearby letters by adding/subtracting.
  • **Misreading "first half reversed" vs "entire alphabet reversed"**: Partial reversals change the formula. → **Fix**: Draw a quick mental picture—if only part reverses, split the alphabet at M/N first, then apply reversal to that segment only.

Quick Reference

  • **Position from right = 27 − position from left** (most frequent formula)
  • **Reverse alphabet at position n from left = letter originally at 27 − n**
  • **Memorize**: A=1, E=5, J=10, M=13, N=14, O=15, T=20, Z=26
  • **Distance between positions p and q = |p − q|** (gaps) or **|p − q| + 1** (inclusive)
  • **Middle pair is M (13) and N (14)**—use to split alphabet mentally
  • **Practice 20+ mixed problems** until you recognize patterns instantly—speed matters more than complex theory

You read the notes — now try one

If the English alphabet is written in reverse order, which letter will be 7th to the right of the 12th letter from the left?

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  • Q1 · Alphabet Test · EASY

    If the English alphabet is written in reverse order, which letter will be 7th to the right of the 12th letter from the left?

  • Q2 · Alphabet Test · MEDIUM

    How many letters are there in the English alphabet between the 5th letter from the left and the 8th letter from the right?

  • Q3 · Alphabet Test · MEDIUM

    In the English alphabet, if every alternate letter starting from A is deleted, which letter will be exactly in the middle of the remaining letters?

  • Q4 · Alphabet Test · HARD

    If the first half of the English alphabet is written in reverse order and the second half is written in normal order, what will be the 8th letter to the left of the 18th letter from the left end?

  • Q5 · Alphabet Test · HARD

    Which letter is as far from G in the alphabet as T is from M?

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Notes generated on 10 May 2026