On what dates of March, 2005 did Saturday fall? |
A) 4th, 5th, 9th, 12th
B) 5th, 12th, 19th, 26th
C) 3rd, 10th, 17th, 25th
D) 4th, 11th, 18th, 25th
E) None of the above
Correct Answer: B
Solution :
First, we find out the day on 1.03.2005, Period upto 1.3.2005 = (yr 2004 + Period from 1.1,2005 to 1.3.2005) |
\[\therefore \] Odd day in 1600 yr = 0 |
Odd day in 400 yr = 0 |
4 yr = (1 leap year + 3 ordinary years) |
\[=(1\times 2+3\times 1)=5\]odd days |
Number of days between 1.1.2005 to 1.3.2005. |
January + February + March = 31 + 28 + 1 = 60 days |
= (8 weeks + 4 days |
= 4 odd days |
Total number of odd days \[=(0+0+5+4)=9\] |
= 1 week + 2 days |
= 2 odd days |
\[\therefore \]1.3.2005 was Tuesday. |
So, Saturday will fall on 5.3.2005. |
Hence, Saturday lies on 5th, 12th, 19th and 26th of March 2005. |
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