15th October 1984 will fall on which of the following days?

  1. Monday
  2. Tuesday

  3. Wednesday
  4. Thursday

Answer (Detailed Solution Below)

Option 1 : Monday
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Detailed Solution

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The logic followed here is:

1600 years contain 0 odd day, 300 years contain 1 odd day. Also, 83 years contain 20 leap years and 63 ordinary years and therefore (40+0) odd days i.e., 5 odd days.

∴ 1983 years contain (0 + 1 + 5) i.e., 6 odd days.

Number of days from Jan. 1984 to 15th Oct. 1984

= (31 + 29 + 31 + 30 + 31 + 30 +31+ 31 + 30 + 15)

= 289 days = 2 odd days

∴ Total number of odd days = 6 + 2 = 1 odd days.

So, 15th Oct, 1984 was Monday.

Hence, the correct answer is "Monday".

 

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