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29th February of the year 2000 was Tuesday, After this date how many times 29th February falls on Tuesday in the whole century?

29th February of the year 2000 was Tuesday, After this date how many times 29th February falls on Tuesday in the whole century? Correct Answer 3

Number of days from one leap year to another leap year = (365 × 4) + 1

= 1461

Number of weeks in 1461 days = 1461 ÷ 7, remainder = 5, so each leap day will fall 5 days after the previous one (or 5 days after Tuesday).

Since, 5 is not a factor of 7, it will take 7 leap years, i.e, (7 × 4) = 28 ordinary years for repetition of Tuesday on 29th February.

So after 2000,

2000 + 28 = 2028

2028 + 28 = 2056

2056 + 28 = 2084

These 3 years will have Tuesday on 29th February.

Hence, ‘3’ is the correct answer.

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