A) 15 minutes past 9
B) 16 minutes past 9
C) \[16\frac{4}{11}\] minutes past 9
D) \[17\frac{1}{11}\] minutes past 9
Correct Answer: C
Solution :
[c] At 9?O clock, the minute hand is \[9\times 5=45\]minute ? spaces behind the hour hand. Therefore, the minute hand will have to gain \[4530=10\] minute space over the hour hand. \[\therefore \] Gain of 55 minute spaces equals 60 minutes. \[\therefore \] Gain of 15 minute spaces equals \[=\frac{60}{55}\times 15=\frac{180}{11}=16\frac{4}{11}\] Therefore, hour and minute hands of a clock point in opposite Direction after 9?O clock at \[16\frac{4}{11}\] minutes past 9.
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