To find the rank of the word "RAHUL" in the dictionary, we need to consider all the possible permutations of the given alphabets (A, H, L, U, R) and determine its position in the ordered list.

There are a total of 5 alphabets, so the total number of permutations is 5!.

Let's break down the process step by step:

Step 1: Arrange the alphabets in ascending order
First, we arrange the alphabets in ascending order: A, H, L, R, U.

Step 2: Fix the first alphabet
Since we want to find the rank of the word "RAHUL," we fix the first alphabet as 'R.'

Step 3: Find the permutations of the remaining alphabets
Now, we need to find the permutations of the remaining alphabets (A, H, L, U) and determine their positions in the ordered list.

To do this, we calculate the number of permutations for each alphabet in the remaining positions:

- For the first position: There are 4 remaining alphabets, so the number of permutations is 4!
- For the second position: There are 3 remaining alphabets, so the number of permutations is 3!
- For the third position: There are 2 remaining alphabets, so the number of permutations is 2!
- For the fourth position: There is 1 remaining alphabet, so the number of permutations is 1!

Step 4: Calculate the rank
To calculate the rank, we sum up the number of permutations for each alphabet in the remaining positions.

Rank = (Number of permutations for 'A' in the remaining positions) +
(Number of permutations for 'H' in the remaining positions) +
(Number of permutations for 'L' in the remaining positions) +
(Number of permutations for 'U' in the remaining positions)

Rank = 4! + 3! + 2! + 1! = 24 + 6 + 2 + 1 = 33

However, we fixed the first alphabet as 'R,' so we need to subtract 1 from the rank.

Final Rank = 33 - 1 = 32

Therefore, the correct answer is option 'D' (74).