The letters of the word "INCOMPREHENSIBILITIES" are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?

To solve this, we need to compare the original word with the word formed by arranging its letters alphabetically in reverse order.

1. Original Word: INCOMPREHENSIBILITIES The word has 21 letters.

2. Count Letter Frequencies: B: 1 C: 1 E: 3 H: 1 I: 5 L: 1 M: 1 N: 2 O: 1 P: 1 R: 1 S: 2 T: 1

3. Arrange Letters Alphabetically in Reverse Order (Z to A): This forms the new word: T S S R P O N N M L I I I I I H E E E C B

4. Compare Original and New Word Position by Position:

   Original: I N C O M P R E H E N S I B I L I T I E S Positions: 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 (10, 11, etc. for clarity) New (Reverse): T S S R P O N N M L I I I I I H E E E C B

   Let's check each position:

   • Position 1: Original 'I', New 'T' (No match)
   • Position 2: Original 'N', New 'S' (No match)
   • Position 3: Original 'C', New 'S' (No match)
   • Position 4: Original 'O', New 'R' (No match)
   • Position 5: Original 'M', New 'P' (No match)
   • Position 6: Original 'P', New 'O' (No match)
   • Position 7: Original 'R', New 'N' (No match)
   • Position 8: Original 'E', New 'N' (No match)
   • Position 9: Original 'H', New 'M' (No match)
   • Position 10: Original 'E', New 'L' (No match)
   • Position 11: Original 'N', New 'I' (No match)
   • Position 12: Original 'S', New 'I' (No match)
   • Position 13: Original 'I', New 'I' (Match!)
   • Position 14: Original 'B', New 'I' (No match)
   • Position 15: Original 'I', New 'I' (Match!)
   • Position 16: Original 'L', New 'H' (No match)
   • Position 17: Original 'I', New 'E' (No match)
   • Position 18: Original 'T', New 'E' (No match)
   • Position 19: Original 'I', New 'E' (No match)
   • Position 20: Original 'E', New 'C' (No match)
   • Position 21: Original 'S', New 'B' (No match)

There are two positions (13 and 15) where the letter 'I' remains unchanged.

The final answer is C) Two.