Question

At 7:20, the hour hand and the minute hand of a clock form an angle of:

• A.
• B.
• C.
• D.
• E.

Answer 1

The correct option is C

Angle traced by hour hand in 12 hrs = ${360}^{\circ }$

Angle traced by it in $\frac{22}{3}$hrs = $\frac{360}{12}\times \frac{22}{3}$ = ${220}^{\circ }$

Angle traced by minute hand in 60 min. = ${360}^{\circ }$

Angle traced by it in 20 min. = ${(\frac{360}{60}\times 20)}^0$ = ${120}^{\circ }$

$\therefore$Required angle $(220-120{)}^{\circ }$ = ${100}^{\circ }$.