Question

What is the angle between the two hands of a clock at 7:35?

Answer 1

correct answer is 30 degree

Answer 2

At 7:35, both the hour hand and the minute hand are near 7 in the clock. Thus there would be no minute difference in between both the hands.

Thus the angle between the hands would be 0°.

But the hour hand moves an angular distance of 1/2° in 1 minute.

Thus, from 7:00 to 7:35, there is a difference of 35 minutes, thus hour hand moves 35 × 1/2 = 17.5° at this time. So the angle between the minute and the hour hands should be advanced by 17.5°.

Thus the answer is 0° + 17.5° = 17.5°