<p>How many positive integers less than 100 are not divisible by 3?</p>
<p>What is the quickest way to solve this? Thanks :)</p>
<p>3x33= 99.</p>
<p>33 integers under 100 are divisible by 3. This means that (100-33) 67 aren’t. </p>
<p>I am not sure if the answer is correct though. :P</p>
<p>He said “less than 100”, so 100 isn’t included. Answer is 66.
Divisible by 3: 3,6,9,12,15,…,96,99 (33 of these (99/3 = 33))
NOT divisible by 3: 99 - 33 = 66</p>
<p>^ Oh, sorry I missed that. Yeah, it’s 66. :)</p>
<p>oh wait sorry i just realized that the question was</p>
<p>How many positive integers less than 1000 are not divisible by 3?</p>
<p>So, not 100 but 1000. Do your strategies work the same way? Thanks</p>
<p>999/3=333, and 666 are not divisible by three. Same concept.</p>