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 May 4th, 2018, 03:35 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 343 Thanks: 1 How leap years in 100 years is 24? How leap years in 100 years is 24? Leap year = 100/4 = 25 and ordinary years is 75. But answer is 24 leap years . How? Last edited by Ganesh Ujwal; May 4th, 2018 at 03:42 AM.
 May 4th, 2018, 04:22 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,098 Thanks: 1905 Did the question specify which 100 years? There were 25 leap years in the last 100 years, but the year 1900 wasn't a leap year.
 May 4th, 2018, 04:28 AM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,557 Thanks: 2558 Math Focus: Mainly analysis and algebra Every year ending in 00 is not a leap year.
 May 4th, 2018, 05:18 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,098 Thanks: 1905 The year 2000 was a leap year, but the year 2100 will not be a leap year.
 May 4th, 2018, 06:53 AM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970 The years 1600, 2000 and 2400 are leap years, while 1700, 1800, 1900, 2100, 2200 and 2300 are common years. By this rule, the average number of days per year is 365 + ​1⁄4 − ​1⁄100 + ​1⁄400 = 365.2425.
May 4th, 2018, 08:31 AM   #6
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Quote:
 Originally Posted by skipjack Did the question specify which 100 years?
00 to 100.

May 4th, 2018, 10:15 AM   #7
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Quote:
 Originally Posted by Ganesh Ujwal 00 to 100.
There is no year 0 though.

May 4th, 2018, 12:23 PM   #8
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Quote:
 Originally Posted by Ganesh Ujwal 00 to 100.
As 00 to 100 inclusive would be 101 years, which isn't a century, I think it would help if you gave the exact wording of the problem.

 May 4th, 2018, 02:50 PM #9 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,557 Thanks: 2558 Math Focus: Mainly analysis and algebra None of the years from 1AD to 100AD were leap years. We weren't even on the current calendar then (at least for most of the century) and leap years weren't introduced until the 16th(?) century (again guesswork, but the calendar wouldn't have got 11 days out with them).
 May 4th, 2018, 07:23 PM #10 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970 "The lighter the faster", how much weight does Mamma Earth need to lose in order to achieve the exact speed that'll result in a perfect 360-day return trip? Imagine: 12 30-day months!

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