Question : Directions: If the 14th of March 2007 is Wednesday, what will be the day of the week on the 17th of June 2013?
Option 1: Thursday
Option 2: Friday
Option 3: Monday
Option 4: Saturday
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Correct Answer: Monday
Solution :
Given:
14th of March 2007 is Wednesday.
Let's calculate the total number of days from the 14th of March 2007 to the 17th of June 2013 –
Number of days from 14 March 2007 to 31 December 2007 = 17 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 292
Number of days from 1 January 2008 to 31 December 2012 = (5 × 365) + 2 = 1827 (2 leap years)
Number of days from 1 January 2013 to 17 June 2013 = 31 + 28 + 31 + 30 + 31 + 17 = 168
So, the total number of days from 14 March 2007 to 17 June 2013 = 292 + 1827 + 168 = 2287
Now, on dividing 2287 by 7, we get 326 as the quotient and 5 as the remainder.
Therefore, add 5 to Wednesday, Wednesday + 5 = Monday
So, the 17th of June 2013 will be Monday. Hence, the third option is correct.
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