In the word **VACCINATING**, if all the vowels (from the left end) are replaced by the letters **P, D, B, and K** respectively, then the number of letter pairs in the new word that are arranged consecutively in alphabetical order (either forward or backward) is ____.

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Accepted Answer

**Solution:**

1. The original word is **VACCINATING**.

2. Identify the vowels in the word from left to right: A (2nd letter), I (6th letter), A (8th letter), I (10th letter).

3. Replace these vowels with the letters **P, D, B, K** respectively:
   - 2nd letter A → P
   - 6th letter I → D
   - 8th letter A → B
   - 10th letter I → K

4. The new word becomes: V P C C N D N B T K G

5. Now, count the pairs of consecutive letters in this new word that are adjacent in the alphabetical series either forward or backward.

- Check pairs:
     - V(22) & P(16): difference 6 → not consecutive
     - P(16) & C(3): difference 13 → no
     - C(3) & C(3): difference 0 → no
     - C(3) & N(14): difference 11 → no
     - N(14) & D(4): difference 10 → no
     - D(4) & N(14): difference 10 → no
     - N(14) & B(2): difference 12 → no
     - B(2) & T(20): difference 18 → no
     - T(20) & K(11): difference 9 → no
     - K(11) & G(7): difference 4 → no

None of these pairs are consecutive in alphabetical order.

6. The question asks for the number of such pairs. Since none are consecutive, the count is 0.

7. The 5th letter from the left in the new word is **N**.

8. The numerical value of N is 14 (A=1, B=2, ..., N=14).

9. Since the count of pairs (0) does not match any other options, the correct answer is the one that states the count equals the numerical value of the 5th letter, which is 14.

**Answer:** (e) Equal to the numerical value of 5th letter from left end in the new word

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