Alphabet Test — Study Notes

Overview

**Alphabet Test** is a staple reasoning topic in the UP Police Constable exam that assesses your familiarity with the English alphabet's order, positions, and rearrangements. Questions test how quickly you can recall letter positions (forward and backward), apply transformations, and understand dictionary ordering principles. Mastering this topic is critical because it forms the foundation for more complex reasoning patterns like coding-decoding and series completion.

Expect 2–4 direct questions from this topic in the Mental Aptitude section. The good news: with systematic practice, these become scoring questions. You need sharp recall of alphabetical positions and the ability to visualize rearrangements mentally. Speed matters—most questions should be solved in under 30 seconds once you internalize the patterns.

The three main sub-areas are: (1) finding the position of letters from either end, (2) rearranging letters and identifying new positions, and (3) dictionary order problems involving words or letter sequences.

Key Concepts

• **Forward Position**: A=1, B=2, C=3 … Z=26. This is the natural counting order from the start of the alphabet.

• **Backward Position**: Z=1, Y=2, X=3 … A=26. When counting from the right end, the positions reverse completely.

• **Complementary Pairing**: The sum of forward and backward positions of any letter equals 27. If A is 1st from left, it's 26th from right (1+26=27). This shortcut eliminates the need to count both ways separately.

• **Position After Rearrangement**: When the alphabet is reversed, the letter at position *n* from left moves to position *n* from right. Example: E (5th from left) becomes 5th from right (i.e., V) in reversed alphabet.

• **Dictionary Order (Lexicographic Order)**: Words are arranged as they appear in a dictionary—letter by letter comparison from left to right. First letter is compared first; if same, move to second letter, and so on.

• **Letter Shifting**: Questions may ask you to find letters that are a certain number of positions away. Count carefully in the specified direction—left means earlier in alphabet, right means later.

• **Symmetry Trick**: Middle letters are M and N (13th and 14th positions). They are equidistant from both ends. Use them as mental anchors when calculating positions.

• **Skip Patterns**: Some questions involve every alternate letter, every third letter, or skipping vowels. Identify the pattern before attempting the calculation.

Formulas / Key Facts

1. **Forward position of letter X** = Position counting A as 1, B as 2 … Z as 26.

2. **Backward position of letter X** = 27 − (forward position of X).

3. **Total letters in English alphabet** = 26.

4. **Middle letters**: M (13th from left) and N (14th from left). Both are 14th and 13th from right respectively.

5. **Vowels**: A, E, I, O, U (positions 1, 5, 9, 15, 21).

6. **Position after full reversal**: If letter is at position *p* from left, after reversal it occupies position *p* from right, which is *27−p* from left in normal alphabet.

7. **Dictionary order rule**: Compare letter-by-letter starting from the first position; the first mismatch determines order.

8. **Number of letters between X and Y** (in natural order) = |Position(Y) − Position(X)| − 1.

Worked Examples

**Example 1: Find the 12th letter from the right end of the alphabet.**

*Solution*: Use the complementary pairing formula. Position from right = 12 Position from left = 27 − 12 = 15 The 15th letter from left is **O**. **Answer: O**

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**Example 2: If the alphabet is written in reverse order, which letter will be 7th to the right of the 12th letter from the left?**

*Solution*: Step 1: In reversed alphabet, the 12th letter from left corresponds to the 12th letter from right in the normal alphabet. 12th from right in normal = 27 − 12 = 15th from left in normal = **O**.

Step 2: Now find 7th letter to the right of O in the reversed alphabet. In reversed alphabet: Z Y X W V U T S R Q P **O** N M L K J I H Count 7 letters to the right of O: N, M, L, K, J, I, H **Answer: H**

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**Example 3: How many letters are there between D and R in the English alphabet?**

*Solution*: Position of D = 4 Position of R = 18 Number of letters between = 18 − 4 − 1 = **13 letters** (E, F, G, H, I, J, K, L, M, N, O, P, Q). **Answer: 13**

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**Example 4: Arrange the words CAR, CUP, COT, CAT in dictionary order.**

*Solution*: Compare letter by letter: All start with C. Move to second letter: A, U, O, A. A comes before O, which comes before U. So: CAR and CAT both have A as second letter. Compare third letters of CAR (R) and CAT (T): R comes before T. Order: **CAR, CAT, COT, CUP**.

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**Example 5: Which letter is exactly midway between F and T?**

*Solution*: Position of F = 6, Position of T = 20 Midpoint position = (6 + 20) ÷ 2 = 26 ÷ 2 = 13 13th letter = **M**. **Answer: M**

Common Mistakes

1. **Confusing forward and backward positions** → Always apply the 27-rule when converting. Don't count manually from Z backward unless you're very confident; mental counting errors are common.

2. **Forgetting to subtract 1 when counting letters between two positions** → The formula is |Y − X| − 1, not |Y − X|. Students often count the boundary letters incorrectly.

3. **Misinterpreting "to the right of" versus "from the right"** → "7th to the right of X" means start at X and count 7 letters forward. "7th from the right" means count from Z backward to position 7.

4. **Ignoring reversal in alphabet rearrangement questions** → When the question says "alphabet is reversed," apply the transformation first before counting positions. Many students apply normal alphabet positions and get wrong answers.

5. **Dictionary order errors with repeated prefixes** → Compare only up to the first differing letter. Don't assume shorter words come first unless letters match up to that point (e.g., CAR comes before CARD).

Quick Reference

• **Forward position + Backward position = 27** (for any letter).
• **Middle of alphabet**: M (13) and N (14) from left.
• **Vowels**: A(1), E(5), I(9), O(15), U(21).
• **Letters between X and Y** = |Position difference| − 1.
• **Reversed alphabet**: Position *p* from left → position *(27−p)* from left in normal alphabet.
• **Dictionary order**: Compare letter-by-letter; first difference determines sequence.

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**Practice Tip**: Write the alphabet forward and backward on paper until you can recall any letter's position in under 2 seconds. Time yourself on 20 rapid-fire questions daily for one week—you'll reach exam speed.