How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours?

Correct option is C

Problem Overview:

We are asked to find how many times the angle between the hour and minute hands of a clock is exactly 40°between 1:00 pm and 7:00 pm — that is, in the next 6 hours.

Concept Used:

• In 12 hours, the hour and minute hands form any given angle (except 0° and 180°) 22 times.
• So, in 6 hours, they form that angle 11 times.

This rule holds true for any specific acute angle, like 40°.

Final Answer: (C) 11