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How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets?
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How many such pairs of letters are there in the word DIGITAL each of w...
Understanding the Problem
To find pairs of letters in the word "DIGITAL" that have the same number of letters between them in the word as they do in the English alphabet, we first need to identify the positions of each letter in both the word and the alphabet.
Letter Positions in the Alphabet
- D = 4
- I = 9
- G = 7
- I = 9
- T = 20
- A = 1
- L = 12
Finding Valid Pairs
Next, we will analyze each possible pair of letters in "DIGITAL" to see if they meet the criteria of having the same distance between them in the word and in the alphabet.
- **Pairs to Check:**
- D and I
- D and G
- D and T
- D and A
- D and L
- I and G
- I and T
- I and A
- I and L
- G and T
- G and A
- G and L
- T and A
- T and L
- A and L
Calculating Distances
For each pair, calculate the number of letters between them in the word and compare it to the difference in their positions in the alphabet.
- Example Pair: D (1st position) and I (2nd position)
- Letters between them in the word: 0
- Distance in the alphabet: 5 (9 - 4)
Continue this for all pairs.
Final Count of Valid Pairs
After calculating, you will find the pairs that satisfy the condition.
- **Total Valid Pairs:**
- Count all pairs that match the criteria.
In this case, there are **two valid pairs**: (D, I) and (A, L).
Therefore, the answer is **2**.
To find pairs of letters in the word "DIGITAL" that have the same number of letters between them in the word as they do in the English alphabet, we first need to identify the positions of each letter in both the word and the alphabet.
Letter Positions in the Alphabet
- D = 4
- I = 9
- G = 7
- I = 9
- T = 20
- A = 1
- L = 12
Finding Valid Pairs
Next, we will analyze each possible pair of letters in "DIGITAL" to see if they meet the criteria of having the same distance between them in the word and in the alphabet.
- **Pairs to Check:**
- D and I
- D and G
- D and T
- D and A
- D and L
- I and G
- I and T
- I and A
- I and L
- G and T
- G and A
- G and L
- T and A
- T and L
- A and L
Calculating Distances
For each pair, calculate the number of letters between them in the word and compare it to the difference in their positions in the alphabet.
- Example Pair: D (1st position) and I (2nd position)
- Letters between them in the word: 0
- Distance in the alphabet: 5 (9 - 4)
Continue this for all pairs.
Final Count of Valid Pairs
After calculating, you will find the pairs that satisfy the condition.
- **Total Valid Pairs:**
- Count all pairs that match the criteria.
In this case, there are **two valid pairs**: (D, I) and (A, L).
Therefore, the answer is **2**.
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How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets?
Question Description
How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets?.
How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many such pairs of letters are there in the word DIGITAL each of which has as many letters between them in the word as in the English alphabets?.
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