The correct answer is '7:45'.

Solution:

• The time is quarter to eight means the minute hand is pointing at 9.
• The time is quarter to eight means the hour hand is between 7 and 8.
• It takes quarter of 12 such big divisions of a clock for the minute hand to move from 9 to 12.

Since, the minute hand only needs quarter of 12 such big divisions of a clock to move from 9 to 12, and the hour hand is between 7 and 8.

But, quarter of 12 such big divisions of a clock = 45 minutes

Then, the time quarter to eight is '7:45'.