Math, asked by hanshr28, 11 months ago

explanation step by step......​

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Answered by Anonymous
51

Explanation :

For a year to have the same calendar with 2007 ,the total odd days from 2007 should be 0.

Take the year 2014 given in the choice.

Total odd days in the period 2007-2013 = 5 normal years + 2 leap year 

= 5 x 1 + 2 x 2 = 9 odd days 

= 2 odd day (As we can reduce multiples of 7 from odd days which will not change anything)

Take the year 2016 given in the choice.

Number of odd days in the period 2007-2015 = 7 normal years + 2 leap year 

= 7 x 1 + 2 x 2 = 11 odd days 

= 4 odd days 

(Even if the odd days were 0, calendar of 2007 will not be same as the calendar of 2016 because 2007 is not a leap year whereas 2016 is a leap year. In fact, you can straight away ignore this choice due to this fact without even bothering to check the odd days) 

Take the year 2017 given in the choice.

Number of odd days in the period 2007-2016 = 7 normal years + 3 leap year 

= 7 x 1 + 3 x 2 = 13 odd days 

= 6 odd days 

Take the year 2018 given in the choice.

Number of odd days in the period 2007-2017 = 8 normal years + 3 leap year 

= 8 x 1 + 3 x 2 = 14 odd days 

= 0 odd day (As we can reduce multiples of 7 from odd days which will not change anything)

Also, both 2007 and 2018 are not leap years. 

Since total odd days in the period 2007-2017 = 0 and both 2007 and 2018 are of same type, 2018 will have the same calendar as that of 2007

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