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Question

The probability of a leap year having 53 Mondays is:

A
27
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B
17
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C
37
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D
47
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Solution

The correct option is A 27
1 year =365 days
A leap year has 366 days
A year has 52 weeks. Hence there will be 52 Mondays for sure.
52 weeks =52×7=364 days
366364=2 days
In a leap year there will be 52 Mondays and 2 days will be left.
These 2 days can be:
Sunday, Monday
Monday, Tuesday
Tuesday, Wednesday
Wednesday, Thursday
Thursday, Friday
Friday, Saturday
Saturday, Sunday
Of these total 7 outcomes, the favourable outcomes are 2.
Hence the probability of getting 53 Mondays in a leap year =27.

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