question_answer

When the time by the watch is 20 minutes past 7, the angle between the hands of the watch is:

A)   \[100{}^\circ \]              

B)           \[90{}^\circ \]

C) \[80{}^\circ \]                       

D)           \[95{}^\circ \]

Correct Answer: A

Solution :

    At 4: 30, minute hand will be 15 x 6 = 90° In twenty minutes, hour hand will gain \[20\times \frac{1}{2}={{10}^{\text{o}}}\] \[\therefore \] Required angle = 90 + 10 = 100°