Question

On what dates of March 2005 did Friday fall?

• A. 4,11, 18 & 25
• B. 6,13,20 & 27
• C. 7,14,21 & 28
• D. 5,12,19 & 27

Answer 1

The correct option is A 4,11, 18 & 25

First of all, we have to find the day on 01.03.2005
01.03.2005 = (2004 years + Period from 01.01.2005 to 01.03.2005)
Number of odd days in 2000 years = 0 ----(1)
Number of odd days in 4 years = 1 leap year + 3 ordinary year
= 1X2 + 3X1 = 5 days ----(2)

From 01.01.2005 to 01.03.2005, we have,
Jan-31days + Feb-28days + Mar-1day = 60days
= 8weeks + 4days = 4 odd days ----(3)

Adding (1),(2)&(3), we get, total no of odd days = 0+5+4
= 9 days = 1 week + 2days = 2 odd days.
2 odd days corresponding to Tuesday. So 01.03.2005 was Tuesday. Therefore, Friday lies on 04.03.2005.

Hence, the dates of March,2015 on which Fridays fell are 4,11,18 & 25