On which dates of April, 2012 will a Sunday come ?

Options

A. 5,12,19,26
B. 1,8,15,22,29
C. 3,10,17,24
D. 7,14,21,28

Answer

B

Explanation

1st April 2012=2000 years +11 years +1st January, 2012 to 1st April, 2012.
Number of odd days in 2000 years =0
[`:.` Multiple of 400 years =0 odd days]
Number of odd days in 11 years
=2 leap years +9 ordinary years
`=(2xx2)` odd days `+(9xx1)` odd days
`=13` odd days `=(13)/(7)=6` odd days.
Also,

[`:.2012` is a leap year. So, February =1 odd day]
So, number of odd days from 1st January, 2012 to 1st April , 2012=`8=(8)/(7)=1` odd day.
So, total number of odd days `=(0+6+1)` odd days `=7` odd days =`(7)/(7)=0` odd days
So, 1st April , 2012=Sunday
So, 8th April, 2012=Sunday
15th April, 2012=Sunday
22nd April, 2012=Sunday and
29th April, 2012=Sunday.