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Delhi Cricket Association wants to organize a cricket tournament in December 2018. They want to schedule the final of the tournament on last Saturday of the month. The final of the tournament will be played on 15th day of the tournament. What will be the date on 1st day of the tournament?

Delhi Cricket Association wants to organize a cricket tournament in December 2018. They want to schedule the final of the tournament on last Saturday of the month. The final of the tournament will be played on 15th day of the tournament. What will be the date on 1st day of the tournament? Correct Answer 15<sup>th</sup> December

As 2000 is divisible by 400 the number of odd days is 0.

Number of leap years till 2017 = 4 (2004, 2008, 2012 and 2016)

Number of ordinary years till 2017 = 13

Number of odd days till 2017 = 13 + (4 × 2) = 21 odd days = 0 odd days

Number of odd days in January, 2018 = 3

Number of odd days in February, 2018 = 0

Number of odd days in March, 2018 = 3

Number of odd days in April, 2018 = 2

Number of odd days in May, 2018 = 3

Number of odd days in June, 2018 = 2

Number of odd days in July, 2018 = 3

Number of odd days in August, 2018 = 3

Number of odd days in September, 2018 = 2

Number of odd days in October, 2018 = 3

Number of odd days in November, 2018 = 2

Total number of odd days till December 2018 = 3 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 1(1st December 2018) = 27 odd days = 6 odd days

Hence, 1st December 2018 is Saturday.

Hence there are 5 Saturdays in December 2018: 1, 8, 15, 22 and 29.

Hence, final will be organized on 29th December 2018.

First day of tournament = 29 – 14 = 15th December.

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