A) \[5\frac{5}{11}\] min past 1
B) \[5\frac{2}{11}\] min past 1
C) \[5\frac{1}{11}\] min past 1
D) \[5\frac{9}{11}\] min past 1
Correct Answer: A
Solution :
At 1 o'clock, the hour hand is at 1 and the minute hand is at 12. Thus, they are 5 min spaces apart. To be together, the minute hand must gain 5 min over the hour hand. 55 min are gained by minute hand in 60 min. 5 mm will be gamed by it in \[\left( \frac{60}{55}\times 5 \right)\] min \[=\frac{60}{11}\] min \[=5\frac{5}{11}\] Hence, the hands will coincide at \[5\frac{5}{11}\] min past 1.
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