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

Tuesday

As we know,

1996 is a leap year

Number of days remaining after 26 january = 366 - 26 = 340 days

\(\frac{340}{7}\) = 4 ( remainder ) = 4 odd days

We know that ,

1997 , 1998 and 1999 together have  3 odd days .

Now,

2000 is a leap year

Number of days till 15th august 2000

= 31 + 29 + 31 + 30 + 31 + 30 + 31 + 15

= 228 days

\(\frac{228}{7}\) = 4 ( remainder ) = 4 odd days

Till 15th august , Total number of odd days = 4 + 3 + 4 = 11 odd days

\(\frac{11}{7}\) = 4 ( remainder ) = 4 odd days 

Day on 15th august = Friday + 4 day ahead

= Tuesday