What is the angle between the minute hand and the hour hand when the time is 15:40 hours?

Options

A. 150
B. 160
C. 140
D. 130

Answer

D

Explanation

The total angle made by the minute hand during an hour is `360^(@)`. If it takes `360^(@)` for an hour, it will take = `240^(@)`. The angle between the hour hand the minute band will therefore, be somewhere between 240 - 90 = `150^(@)`, as the hour hand is between 3 and 4.
The angle made by the hour hand when it moves from say 3 to 4 will be `30^(@)`. That is the hour hand makes `30^(@)` during the course of an hour.
The hour hand will therefore, move `= 20^(@)`.
Therefore, the net angle between the hour hand and the minute hand will be 150 - 20 = `130^(@)`.