Question

Find the day of the week on $26$ January $1950$.

Answer 1

Step 1: Finding the number of odd days till end of $1949$

Odd days implies that days more than complete weeks

number of odd days in $400,800,1200,1600,2000$ years are $0$

Hence, the number of odd days in the first $1600$ years are $0$.

Number of odd days in the upcoming next $300$ years $=1$

Number of odd days in $49$ years $=$$(12\times 2+37\times 1)$
$=61$ days $÷7$
$=5$ odd days

Total number of odd days in $1949$ years $=1+5$
$=6$ odd days

Step 2: Finding the day on $26$ January $1950$

number of odd days till $26$ January $=5$ odd days
Total number of odd days till $26$ January$1950$ $=5+6$
$=11$days $÷7$
$=4$ odd days
Sunday : $0$, Monday : $1$, Tuesday: $2$, Wednesday: $3$, Thursday: $4$

Hence, the required answer is Thursday.