Question

In the year $1996$, the Republic day was celebrated on Friday. On which day was the Independence day celebrated in the year $2000$ ?

• A. Tuesday
• B. Monday
• C. Friday
• D. Saturday

Answer 1

The correct option is A Tuesday

The year $1996$ was a Leap Year.
Number of days remaining in the $1996$
$=366-26=340\text{days}$
$=48\text{weeks 4 odd days}$
$\text{1997, 1998 and 1999 together have 3 odd days}$.
$2000$ was a Leap Year
Days upto $\text{15th August 2000}$
$31+29+31+30+31+30+31+15=228\text{days}$
$\frac{228}{7}=32\text{weeks 4 odd days}$
Now, total number of odd days
$=4+3+4=11$
$\frac{11}{7}=1\text{week 4 odd days}$
$\text{15th August 2000}$ was $4$ days beyond Friday, i.e., Tuesday.