Number of times 29^{th} day of the month occu | vedclass

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(A) In a period of $400$ consecutive years,there are $97$ leap years.Each of the $11$ months (excluding February) has a $29^{th}$ day every year. Ther

Vedclass · Accepted Answer

$4497$

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(A) In a period of $400$ consecutive years,there are $97$ leap years.Each of the $11$ months (excluding February) has a $29^{th}$ day every year. Therefore,in $400$ years,these months contribute $400 	imes 11 = 4400$ occurrences of the $29^{th}$ day.February has a $29^{th}$ day only in leap years. Since there are $97$ leap years in $400$ years,February contributes $97$ occurrences of the $29^{th}$ day.Total number of times the $29^{th}$ day occurs = $4400 + 97 = 4497$.

Number of times $29^{th}$ day of the month occurs in $400$ consecutive years is

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