
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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May 4th, 2018, 02:35 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 238 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 02:42 AM. 
May 4th, 2018, 03:22 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,962 Thanks: 1606 
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, 03:28 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,308 Thanks: 2443 Math Focus: Mainly analysis and algebra 
Every year ending in 00 is not a leap year.

May 4th, 2018, 04:18 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 18,962 Thanks: 1606 
The year 2000 was a leap year, but the year 2100 will not be a leap year.

May 4th, 2018, 05:53 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,421 Thanks: 832 
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, 07:31 AM  #6 
Senior Member Joined: Aug 2014 From: India Posts: 238 Thanks: 1  
May 4th, 2018, 09:15 AM  #7 
Senior Member Joined: Oct 2009 Posts: 403 Thanks: 139  
May 4th, 2018, 11:23 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 18,962 Thanks: 1606  
May 4th, 2018, 01:50 PM  #9 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,308 Thanks: 2443 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, 06:23 PM  #10 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,421 Thanks: 832 
"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 360day return trip? Imagine: 12 30day months! 

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