According to the time by Rekha's watch, it is quarter past 9 and the hour-hand is pointing to the west. In which of the given directions will the minute-hand point after 75 minutes?

Time on Rekha's watch: Quarter past 9 or (9:15).

Hour-hand direction: West

Time Elapsed: 75 minutes = 1 hour and 15 minutes.

Minute-Hand at 10:30:

This moves the time from 9:15 to 10:30.

Direction at 6 o’clock:

At 10:30, the minute-hand will be at the 6 o’clock position.

After 75 minutes, the minute-hand will point to the south.

Thus, correct answer is (a)