Question

India's first Republic day was celebrated on $\text{26 January 1950}$. What day of the week was that memorable day ?

• A. Sunday
• B. Saturday
• C. Thursday
• D. Tuesday

Answer 1

Answer: (C)

Thursday

The total number of odd days till $1949$ can be calculated as shown.
$1600$ years had $0$ odd day; $300$ years had $1$ odd day.
$49$ years had $12$ leap years and $37$ ordinary years.
So, the number of odd days in $\text{49 years}=(12\times 2)+(37\times 1)=24+37=61=\text{8 weeks and 5 odd days}$.
$26$ days of January had $5$ odd days.
So, the total number of odd days till $\text{26 January 1950 = 0 + 1 + 5 + 5 = 11 days = 1 week + 4 odd days}$.
So, the day was Thursday. (count four days starting from Monday).