Question

Find the day of the week on 26 January, 1950

• A. Tuesday
• B. Friday
• C. Wednesday
• D. Thursday

Answer 1

The correct option is D Thursday

Total number of odd days in first $1600$ years $=0$
Number of odd days in next $300$ years $=1$
Number of odd days in 49 years = $12\times 2+37\times 1=61$ days or $5$ odd days
Thus total number of odd days in year $1949=1+5=6$ days
Number of days in year $1950=26=3weeks+5$ days.
Thus, number of odd days in $1950=5$
Hence, total number of odd days $=5+6=11=1$ week + 4 days
Now, 0 odd days then Sunday, 1 odd day then Monday and so on
Since, 4 odd days hence it is Thursday.