Which year has the same calendar as that of 2009 ........

Logical Reasoning(Master ) Calendar

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Which year has the same calendar as that of 2009 ?

2018

2017

2016

2015

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Explanation:

Number of odd days till 1st january,2009=

$\frac{2000\times 0+6+ 2\times 2}{7}=\frac{10}{7}$

=3 odd days (remaining)
or Wednesday will be on 1st January 2009
The calendar is same after 6 yr from each ordinary year. Hence, calendar 2015 is same as 2009 calendar.

Alternate Method In one normal year we have 1 odd day and in one leap year we have 2 odd days, So, the repetition of same calendar happens after every 7 odd days. Now, 7 odd days will come in 6 years (5 normal years + 1 leap year)
So The next year which will have same calendar as 2009 = 2009 + 6 = 2015