Q. What will be the angle between the two hands of a clock at 8:30?

60°

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75°

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90°

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105°

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Solution

The correct option is B 75°
$θ = 30 h - (11 / 2) m = 30 \times 8 - (11 / 2) \times 30 = 240 - 165 = 75 ° .$

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At what time between $5 : 30$ and $6 : 00$ will the hands of a clock be at right angle?

A. $54 \frac{5}{11}$ minutes past $5$

B. $43 \frac{7}{11}$ minutes past $5$

C. $63$ minutes past $5$

D. $41$ minutes past $5$

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