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How many positive integers less than 2017 are divisible by 2 but not by 3?

 
 Jan 11, 2019
 #1
avatar+94995 
+3

2017/2 = 1008.5

1008 are divisable by 2

 

2,4,6,8,10,12, ...  as you can see, every third one is also divisable by 3

 

2/3*1008 = 672

So 672 of them are not divisable by 3

 
 Jan 11, 2019
 #2
avatar
+2

Here is another way:

 

2017/2 =1008 divisible by 2 - 2017/6 =336 divisible by 6.

1008  -   336 =672 - divisible by 2 but not by 3.

 
 Jan 12, 2019
edited by Guest  Jan 12, 2019

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