Question : Directions: If the 31st of January 2009 was a Saturday, then what was the day of the week on the 30th of January 2013?
Option 1: Tuesday
Option 2: Wednesday
Option 3: Monday
Option 4: Friday
Correct Answer: Wednesday
Solution :
Given:
The 31st of January 2009 is Saturday.
Calculate the days between Jan 31, 2009, and Jan 30, 2013.
Number of remaining days in 2009 ⇒ Feb = 28; March = 31; April = 30; May = 31; June = 30; July = 31; Aug = 31; Sep = 30; Oct = 31; Nov = 30; Dec = 31
⇒ 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 = 334
From 2010 to 2012 ⇒ (3 × 365) + 1 = 1095 + 1 = 1096
(1 day is being added as 2012 is a leap year.)
From Jan 1, 2013 to Jan 30, 2013 ⇒ Jan = 30
Total number of days = 334 + 1096 + 30 = 1460
On dividing 1460 by 7, we get 4 as the remainder. So, four days after Saturday will be Wednesday.
So, the 30th of January 2013 was Wednesday. Hence, the second option is correct.
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