1) Find the tim between 2 and 3 O'clock at which the minute hand and the hour hand overlap A) $10 \frac{10}{11}$min past $2$ B) $10 \frac{12}{11}$min past $2$ C) $9 \frac{10}{11}$min past $2$ D) $9 \frac{12}{11}$min past $2$ Answer: Option AExplanation:When the two hands overlap, the angle between them is $0^{o}$. $\theta = \mid \frac{11}{2}m-30h \mid$ $\therefore \theta=0^{o}$ and $h=2$ $\frac{11}{2}m=30 \times 2$ $m= \frac{120}{11}=10\frac{10}{11}$min past ${2}$
