Leap year or not?

Number Theory Level 2

Is the year 1700 a leap year or not?

No Yes

Anish Anand by Anish Anand , 20, India

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1 solution

Anish Anand
Dec 24, 2015

To check a century year a leap year or not we have to devide it by 400 not by 4 and if the remainder is zero than it a leap year else not. And in this case, if we devide it by 400, we will get 100 as remainder so it is not a leap year.

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Also, a Leap Year must be divisible by 4, not by 400...

Jess McAllister Alicando - 5 years, 5 months ago

There's an exception for years divisible by 100 (2000,1900,etc.). In order to determine whether a year classified to this category is a Leap Year it must be divisible by 400. The rest of the years not classified to this category must be divisible by 4 (2016,2020,etc.).

Jess McAllister Alicando - 5 years, 5 months ago

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I have stated that in my solution , I have written 'To check a century year a leap year' century year means the year which are exactly divisible by 100.

Anish Anand - 5 years, 5 months ago

No, the remainder must be less than 4, the answer to this question is yes because the number 1700 yields zero remainder remainder when you divide it by 4.

Jess McAllister Alicando - 5 years, 5 months ago

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you can check through any genuine source that for any century year i.e. 1600, 1700, 1800 and so, we have to divide it by 400 not by 4. you can also check on https://www.mathsisfun.com/leap-years.html

Anish Anand - 5 years, 5 months ago

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