On what dates of October, 1975 did Tuesday fall?

1.	On what dates of October, 1975 did Tuesday fall?
Answer» For determining the dates, we find the days on 1^st Oct, 1975. 1600years have ‘0’ odd days ............(A). 300years have ‘01’ odd days ..........(B) 74years have (18 leap years + 56 ordinary years) 2 × 18 + 1 × 56 = 92 odd days = ‘01’ odd days ......(C) Days from 1^st January to 1^st Oct., 1975 1^stJan - 30 June + 1^st July to 1st Oct. 181 + 31 + 31 + 30 + 1 = 274days = ‘01 odd days ....(D) (274/7 = 01days) Adding (A) + (B) + (C) + (D) = 0 + 01 + 01 + 01 = ‘03’ odd days Ans. Wednesday (1^st Oct), hence, 7, 14, 21, 28, Oct. will Tuesday fall

Answer»

For determining the dates, we find the days on 1^st Oct, 1975.

1600years have ‘0’ odd days ............(A).

300years have ‘01’ odd days ..........(B)

74years have (18 leap years + 56 ordinary years)

2 × 18 + 1 × 56 = 92 odd days

= ‘01’ odd days ......(C)

Days from 1^st January to 1^st Oct., 1975

1^stJan - 30 June + 1^st July to 1st Oct.

181 + 31 + 31 + 30 + 1 = 274days

= ‘01 odd days ....(D) (274/7 = 01days)

Adding (A) + (B) + (C) + (D) = 0 + 01 + 01 + 01 = ‘03’ odd days

Ans. Wednesday (1^st Oct), hence, 7, 14, 21, 28, Oct. will Tuesday fall

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