How many pairs of letters in the word 'CHAIRS' have as many le...
The answer is a.
Letters in the word
C H A R S
Letters in the alphabet
C B A R S
View all questions of this test
How many pairs of letters in the word 'CHAIRS' have as many le...
Understanding the Problem
To determine how many pairs of letters in the word "CHAIRS" have as many letters between them in the word as in the alphabet, we need to analyze each letter's position in both contexts.
Step-by-Step Analysis
1. Identify the Alphabet Positions:
- C = 3
- H = 8
- A = 1
- I = 9
- R = 18
- S = 19
2. Check the Position in the Word "CHAIRS":
- C (1), H (2), A (3), I (4), R (5), S (6)
3. Finding Pairs:
- We need to check every possible pair of letters to see if the difference in their positions in the word matches the difference in their positions in the alphabet.
Identified Pairs
- C and H:
- In the word: Positions 1 and 2 → 0 letters between.
- In the alphabet: Positions 3 and 8 → 4 letters between (D, E, F, G).
- C and A:
- In the word: Positions 1 and 3 → 1 letter between (H).
- In the alphabet: Positions 3 and 1 → 1 letter between (B).
- H and A:
- In the word: Positions 2 and 3 → 0 letters between.
- In the alphabet: Positions 8 and 1 → 6 letters between (B, C, D, E, F, G).
- I and R:
- In the word: Positions 4 and 5 → 0 letters between.
- In the alphabet: Positions 9 and 18 → 8 letters between (J, K, L, M, N, O, P, Q).
- A and H:
- In the word: Positions 3 and 2 → 0 letters between.
- In the alphabet: Positions 1 and 8 → 6 letters between (B, C, D, E, F, G).
- R and S:
- In the word: Positions 5 and 6 → 0 letters between.
- In the alphabet: Positions 18 and 19 → 0 letters between.
Final Count
- The pair that works is C and A, matching the criteria of letter positions in both the word and alphabet.
Thus, the correct answer is 2 pairs.