India got independence on August 15, 1947. Wh | vedclass

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Question

(B) To find the day of the week for August $15, 1947$,we calculate the number of odd days up to that date.$1$. Number of years: $1946$ complete years.

Vedclass · Accepted Answer

Friday

Vedclass · Answer

(B) To find the day of the week for August $15, 1947$,we calculate the number of odd days up to that date.$1$. Number of years: $1946$ complete years.$2$. $1600$ years have $0$ odd days.$3$. $300$ years have $1$ odd day.$4$. $46$ years contain $11$ leap years and $35$ ordinary years. Number of odd days $= (11 	imes 2 + 35 	imes 1) = 22 + 35 = 57$. Dividing $57$ by $7$,we get $57 = 8 	imes 7 + 1$,so $1$ odd day.$5$. Days in $1947$ up to August $15$: Jan$(31)$ + Feb$(28)$ + Mar$(31)$ + Apr$(30)$ + May$(31)$ + Jun$(30)$ + Jul$(31)$ + Aug$(15)$ = $227$ days.$6$. $227 \div 7 = 32$ weeks and $3$ odd days.$7$. Total odd days $= 0 + 1 + 1 + 3 = 5$.$8$. Since $0$ corresponds to Sunday,$1$ to Monday,$2$ to Tuesday,$3$ to Wednesday,$4$ to Thursday,and $5$ to Friday,the day was Friday.

India got independence on August $15, 1947$. What was the day of the week?

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