How will quarter to eight be indicated in the 24-hour format?

Quarter = $$\frac{1}{4}$$​ , One hours = 60 minute

So the quarter of 60 minute is = 60 ×$$\frac{1}{4}$$ = 15 minute

Quarter to eight means 15 minutes before 8:00.

The 24-hour clock removes the AM/PM distinction and continues counting hours from midnight (00:00) to the next midnight (24:00).

If it were 7:45 PM, it would be 19:45 (add 12 to the hour for times after noon).

Quarter to eight in the evening: 19:45 hours

Thus the correct option is (B)