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Q.

At what time between 9 and 10 will both the two hands of the clock coincide ?

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a

$9 h r 40 \frac{1}{16} \min$

b

$9 h r 47 \frac{1}{13} \min$

c

$9 h r 49 \frac{1}{11} \min$

d

$9 h r 43 \frac{1}{11} \min$

answer is C.

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Detailed Solution

Time 9 and 10, $θ = 0$

$θ = | 30 H - \frac{11}{2} M |$

$θ = | 30 \times 9 - \frac{11}{2} M |$

$\frac{11}{2} M = 270$

$M = \frac{540}{11} = 49 \frac{1}{11} \min$

$9 h r 49 \frac{1}{11} \min$

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