Question 29

If February 29, 2024 falls on a Thursday, on which day will February 29, 2028 fall?

Solution

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Number of days between February 29, 2024 and February 29, 2028 = $$365+365+365+366$$
Now, $$365\equiv 1 \text{ mod }7$$
And, $$366\equiv 2 \text{ mod }7$$
So, $$365+365+365+366\equiv (1+1+1+2) \text{ mod }7$$
So, number of odd days = 5
Now, 5 days after Thursday is Tuesday
So, February 29, 2028 is Tuesday.

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