The Year Is Too Short

Logic Level 3

What is the minimum number of days that 5 consecutive years can have?

1825 1826 1827 1828

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1 solution

Ansh Bhatt
Mar 7, 2016

Every four years, there is a leap year. Well, this is a lie, partially at least.

A year of the form 100k where k is a positive integer is not a leap year unless it is divisible by 400.

Thus, years of form 400k+100, 400k+200, 400k+300 are not leap years.

So, 5 consecutive years can all be non leap years. So the answer is

365×5 = 1825 \boxed{1825}

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