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35 / 42

At what time between 2 and 3 o'clock will the hands of a clock be together?

A. (9 + 10/11) min past 2

B. (10 + 10/11) min past 2

C. (11 + 10/11) min past 2

D. (12 + 10/11) min past 2

View Answer

Correct choice: B

Explanation:

At 2 o'clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart. To be together, the minute hand must gain 10 minutes over the hour hand. Now, 55 minutes are gained by it in 60 min. 10 minutes will be gained in 60/55×10 min. = 1010/11 min. The hands will coincide at 1010/11 min. past 2.

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