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There are two leave in a week i.e. on Saturday and Sunday. The first leave is on 17th April 2017 which is Sunday. The 112th leave will falls on which date?

There are two leave in a week i.e. on Saturday and Sunday. The first leave is on 17th April 2017 which is Sunday. The 112th leave will falls on which date? Correct Answer 13<sup>th</sup> May 2018

Year 2017 is ordinary year, so the number of odd days in 2017 is 1. Therefore, for the same day in year 2018 the date will be reduced by 1.

Hence,

17th April 2017 – Sunday – 1st leave

16th April 2018 – Sunday – 105th leave

Since there are 52 weeks in a year and number of leave in a week is 2 so, the number of leaves from 17th April 2017 to 16th April 2018 will be (52 × 2 + 1) = 105.

Note: 1 is added for 17th April 2017 which is Sunday. 52 weeks are counted from 18th April 2017 (Monday) to 16th April 2018 (Sunday).

Day + 7 days = same day.

16th April 2018 + 7 days = 23rd April 2018 – Sunday – 107th leave.

30th April 2018 – Sunday – 109th leave.

7th May 2018 – Sunday – 111th leave.

13th May 2018 – Saturday – 112th leave.

Hence, 13th May 2018 is the correct answer.

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