Suppose 20 January 2024 falls on a Saturday. What day of the week is 4 April 2024?

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Thursday. Take 20 January 2024 as the known reference day, a Saturday. Count the days from 20 January to 4 April 2024. January contributes 11 remaining days, since 31 minus 20 equals 11. The year 2024 divides evenly by 4 and is not a century year, so it is a leap year. February 2024 therefore contributes 29 days, not 28. March contributes 31 days, and April contributes 4 days, up to the target date. Adding these gives 11 plus 29 plus 31 plus 4, which is 75 days. Divide 75 by 7. That gives 10 full weeks, with a remainder of 5 days. Move 5 days forward from Saturday. Saturday plus 5 lands on Thursday, after passing Sunday, Monday, Tuesday, and Wednesday. So 4 April 2024 falls on a Thursday.

Suppose 20 January 2024 falls on a Saturday. What day of the week is 4 April 2024?

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