ABC26GN5159 · Calendar

15 August, 1947 means 1946 complete years + first 7 months upto July 1947 + 15 days of August 1947 1600 years have 0 odd day. 300 years have 1 odd day 46 years have 11 leap years and 35 ordinary years $$\begin{aligned} & =(11 \times 2)+(35 \times 1) \\ & =22+35=57 \text { odd days } \\ & =8 \times 7+1 \text { odd days } \\ & =8 \text { weeks }+1 \text { odd day } \end{aligned}$$ Up to 1946 there are $1+1=2$ odd days January 1947 ⇒ 3 odd days February 1947 ⇒ 0 odd days (1947 is a normal year) March 1947 ⇒ 3 odd days April 1947 ⇒ 2 odd days May 1947 ⇒ 3 odd days June 1947 ⇒ 2 odd days July 1947 ⇒ 3 odd days Up to 15 August ⇒ 15 odd days Total number of odd days up to 15 August 1947 $=2+3+0+3+2+3+2+3+15=33$ odd days. Hence, $15{ }^{\text {th }}$ August, 1947 was Friday.