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Question

# Kumbhakarna starts sleeping between 1 pm and 2 pm and he wakes up when his watch shows such a time that the two hands (i.e., hour-hand and minute-hand) interchange the respective places. He wakes up between 2 pm and 3 pm on the same night. How long does he sleep ?

A
55513min
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B
1101013min
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C
54613min
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D
None of these
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Solution

## The correct option is A 55513minHe starts sleeping between 1 pm and 2 pm and he wakes up between 2 pm and 3 pm such that the two hands interchange the respective places.It means, when he slept the hour-hand was between 1 and 2 and minute-hand was between 2 and 3.And when he wakes up the hour-hand was between 2 and 3 and minute-hand was between 1 and 2.Thus he slept between 1:10 -1:15 and wakes up between 2:05-2:20.If he sleeps at 1:10 then he should wake up 2:05-2:10 since, the two hands are interchanged.So, the time he sleeps will be around 55 minutes and not less than 55. Thus, the time he sleeps is 55+513 minutes.Hence, option 'A' is correct.

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