Question

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. ${95}^{\circ }$

Answer 1

The correct option is A ${100}^{\circ }$

At 4:30, minute hand will be 15 ×× 6 = 90∘90∘
In twenty minutes hour hand will gain 20×12=10∘20×12=10∘
∴∴ Required angle = 90+10= 100∘