Question
What was the day of the week on 15 August 1947?
Answer: Option B
Answer: (b)
15 August 1947 means,
1946 complete years + first 7 months up to July 1947 + 15 days of August 1947
1600 years have 0 odd days.
300 years have 1 odd day
46 years have 11 leap years and
35 ordinary years = (11 × 2) + (35 × 1)
= 22 + 35 = 57 odd days
= 8 × 7 + 1 odd days = 8 weeks + 1 odd day
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 od odd days up to 15 August 1947
= 2 + 3 + 0 + 3 + 2 + 3 + 2 + 3 + 15
= 33 odd days.
Hence, 15th August 1947 was Friday.
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Answer: (b)
15 August 1947 means,
1946 complete years + first 7 months up to July 1947 + 15 days of August 1947
1600 years have 0 odd days.
300 years have 1 odd day
46 years have 11 leap years and
35 ordinary years = (11 × 2) + (35 × 1)
= 22 + 35 = 57 odd days
= 8 × 7 + 1 odd days = 8 weeks + 1 odd day
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 od odd days up to 15 August 1947
= 2 + 3 + 0 + 3 + 2 + 3 + 2 + 3 + 15
= 33 odd days.
Hence, 15th August 1947 was Friday.
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