question_answer

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

A)  \[{{100}^{o}}\]                  

B)  \[{{90}^{o}}\]

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

D) (4) \[{{95}^{o}}\]

Correct Answer: A

Solution :

At 4:30, minute hand will be \[15\times 9={{90}^{o}}\] In twenty minutes, hour hand will gain \[20\times \frac{1}{2}={{10}^{o}}\] \[\therefore \] Required angle \[=90+10={{100}^{o}}\]