Question : Directions: If the 21st of July 2000 is Friday, then what will be the day of the week on the 15th of July 2012?
Option 1: Sunday
Option 2: Monday
Option 3: Saturday
Option 4: Friday
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Correct Answer: Sunday
Solution :
Given:
The 21st of July 2000 is Friday.
Calculate the days between July 21, 2000, and July 15, 2012.
Number of remaining days in 2000 ⇒ July = 10; Aug = 31; Sept = 30; Oct = 31; Nov = 30; Dec = 31
⇒ 10 + 31 + 30 + 31 + 30 + 31 ⇒ 163
From 2001 to 2011 ⇒ (11 × 365) + 2 = 4015 + 2 = 4017
(2 days are being added as there are two leap years 2004 and 2008.)
From Jan 1, 2012 to July 15, 2012 ⇒ Jan = 31; Feb = 29; Mar = 31; Apr = 30; May = 31; June = 30; July = 15
⇒ 31 + 29 + 31 + 30 + 31 + 30 + 15 ⇒ 197
Total number of days = 163 + 4017 + 197 = 4377
On dividing 4377 by 7, we get 2 as the remainder. So, two days after Friday will be Sunday.
So, the 15th of July 2012 will be Sunday. Hence, the first option is correct.
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