
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
May 4th, 2018, 02:35 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 295 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: 19,291 Thanks: 1683 
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: 7,342 Thanks: 2465 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: 19,291 Thanks: 1683 
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: 12,906 Thanks: 883 
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: 295 Thanks: 1  
May 4th, 2018, 09:15 AM  #7 
Senior Member Joined: Oct 2009 Posts: 436 Thanks: 147  
May 4th, 2018, 11:23 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 19,291 Thanks: 1683  
May 4th, 2018, 01:50 PM  #9 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,342 Thanks: 2465 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: 12,906 Thanks: 883 
"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! 

Tags 
100, leap, years 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Cary is 4 years older than Dan. In 3 years the sum of their ages will be 58  GIjoefan1976  Algebra  3  March 15th, 2016 12:35 AM 
ManYears  Pvunderink  Algebra  2  November 20th, 2013 05:50 AM 
ManYears  Pvunderink  Calculus  0  December 31st, 1969 04:00 PM 