If 12^{th} December 1985 was a Thursday,what | vedclass

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(NONE) Step $1$: Calculate the number of years between $12^{th}$ December $1985$ and $12^{th}$ December $2099$. This is $2099 - 1985 = 114$ years.
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Vedclass · Accepted Answer

Sunday

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(NONE) Step $1$: Calculate the number of years between $12^{th}$ December $1985$ and $12^{th}$ December $2099$. This is $2099 - 1985 = 114$ years.
Step $2$: Count the number of leap years in this period. Leap years are those divisible by $4$,excluding century years not divisible by $400$. Leap years: $1988, 1992, ..., 2096$. Total leap years = $28$ ($1988$ to $2096$) and $2000$ is a leap year,but $2100$ is not. Total leap years = $28$. Ordinary years = $114 - 28 = 86$.
Step $3$: Calculate odd days for $114$ years: $(28 	imes 2 + 86 	imes 1) = 56 + 86 = 142$ days. $142 \pmod 7 = 2$ odd days.
Step $4$: Calculate days from $12^{th}$ December $2099$ to $10^{th}$ January $2100$: $19$ days (remaining in Dec) $+ 10$ days (in Jan) $= 29$ days. $29 \pmod 7 = 1$ odd day.
Step $5$: Total odd days = $2 + 1 = 3$. Adding $3$ days to Thursday: Friday,Saturday,Sunday. The day is Sunday.

If $12^{th}$ December $1985$ was a Thursday,what will be the day on $10^{th}$ January $2100$?

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