+0  
 
-1
54
1
avatar+275 

A year N is a leap year if N is a multiple of 4, except when N is a multiple of 100,except when N is a multiple of 400. Based on this description, how many leap years are there between year 2018 and year 3018?

 Feb 4, 2021
 #1
avatar+116049 
+2

The first one  divisible  by  4  after  2018  is 2020

The last one  divisible  by 4   before  3018  is 3016

 

So.....the  number of  years   divisible  by  4   =    ( 3016 - 2020)  / 4   + 1     = 249 +  1  = 250

 

However......years  ending in  00  that are not multiples of 400 are not leap years

 

So

2100, 2200, 2300, 2500, 2600,2700, 2900 and 3000 are  not leap years =  8

 

So....the number of  leap years  between 2018  and 3018   =  250   -  8   =   242

 

 

cool cool cool

 Feb 4, 2021

31 Online Users

avatar
avatar
avatar