Question : Directions: If 22 July 1969 is Tuesday, then what will be the day of the week on 6 August 1985?
Option 1: Tuesday
Option 2: Thursday
Option 3: Monday
Option 4: Wednesday
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Correct Answer: Tuesday
Solution :
Given:
22 July 1969 is a Tuesday.
Let's calculate the total number of days from the 22nd of July 1969 to the 6th of August 1985 –
Number of remaining days in 1969 = 9 + 31 + 30 + 31 + 30 + 31 = 162
Number of days from 1 January 1970 to 31 December 1984 = (15 × 365) + 4 = 5479 (4 leap years)
Number of days from 1 January 1985 to 6 August 1985 = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 6 = 218
So, the total number of days from 22 July 1969 to 6 August 1985 = 162 + 5479 + 218 = 5859
Now, on dividing 5859 by 7, we get 837 as the quotient and 0 as the remainder.
Therefore, add 0 to Tuesday, Tuesday + 0 = Tuesday
So, the 6th of August 1985 will be Tuesday. Hence, the first option is correct.
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