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What is the angle between the minute and the hour hand of a clock at 3 hours 40 minutes?

$20^{o}$

$70^{o}$

$90^{o}$

$130^{o}$

Option D

The angle between the hands can be calculated by $\theta=$ $\mid \frac{11}{2} m 4-30h \mid$ , where m is minutes and h is hour.

Here m= 40 and h=3

$\therefore \theta=\mid \frac{11}{2}\times - 30 \times 3 \mid$

$=\mid 200-90 \mid$

= $130^{o}$

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