Monday falls on 20th March, 1995. What was the day on 3rd November, 1994?

Question

Monday falls on 20th March, 1995. What was the day on 3rd November, 1994?

Days in November 1994( starting from 3rd)= $27$ Days in December 1994=$31$ Days in January 1995=$31$ Days in February 1995= $28$ Days in March 1995= $31$ $27+31+31+28+20= 137$ DIviding 137 by 7, I got number of odd days as 4. Now what next?

Answer 1

Guide:

If the remainder is $0$, it is a Monday.

If the remainder is $1$, it is a Sunday.

If the remainder is $2$, it is a Saturday.

I believe you can complete the task.

Answer 2

I don't know if this is effective-enough for you: leap years must be divisible by 4, so 1994 was not a leap year. Now we just need to know the number of days in each month $Mod7$: November has $30=2$, December has $31=3$, Jan $=31=3$, $Feb=28=0$ . Then , December $3$ carries $2$, January $3$ carries $2+3$, February 3 carries $2+3+3=1$ , and March $3$ carries $2+3+3=1 $ , So March $2$ is the same day of the week as November $3$ , so March $20$ is $18=4$ days ahead of November $3$. Since March $20$ is a Monday, November $3$ was on a Thursday.