<p>How many positive integers less than 1000 are not divisible by 3 ?
Thanks.</p>
<p>You basically need to look at the largest multiple of 3 that’s less than 1000. In this case it’s pretty obvious - 999. You could have also divided 1000 by 3 and subtracted the remainder of that division from 1000 to get 999.</p>
<p>Then, 999/3 = 333, so there are 333 integers less than 1000 that are divisible by 3 - which means there are (1000-333) integers that AREN’T divisible by 3.</p>
<p>The correct answer is 666</p>
<p>you missed one. i.e 1000-333=667
but the correct answer is 666</p>
<p>^well its supposed to be 999-(999/3)=666 because the question says “less than” 1000 so 1000 isn’t included…</p>
<p>Hey, I don’t get the explanation of why the answer should be 666 and not 667. Can someone please elaborate?</p>
<p>Yep, gregbob’s right ! Sorry about my error, it should be 999-333.
@nocensure : The answer’s 666 and not 667 because 1000 isn’t included. So you subtracted 333 from 999 and not 1000.</p>
<p>Thank you guys!</p>