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At 3:40, the hour hand and the minute hand of a clock form an angle of:

$120^\circ$
$125^\circ$
$130^\circ $
$135^\circ$
Explanation:

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

Angle traced by it in$ \dfrac{11}{3} $hrs =$\left(\dfrac{360}{12} \times\dfrac{11}{3}\right)^\circ$ =110$^\circ$.

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

Angle traced by it in 40 min. =$ \left(\dfrac{360}{60} \times 40\right)^\circ$= 240$^\circ$.

$\therefore$ Required angle (240 - 110)$^\circ$ = 130$^\circ$

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