Math discrepancy

<p>Did anybody else notice a math question discrepancy toward the end of the 20 minute section? I don't want to post it just in case I'm imagining, but I felt as though there was a question that inaccurate.</p>

<p>Thoughts?</p>

<p>Which question? Just post it, lol.</p>

<p>There is a circle entirely contained within another circle of radius 9.</p>

<p>I. The smaller circle has an area of 64pi.
II. The smaller circle has a radius of 9/2.
III. The smaller circle has a radius less than 18.</p>

<p>Actually,
II. The smaller circle has a radius bigger than 9/2
III. The smaller circle has a diameter of 18 inches.</p>

<p>Honestly, I thought the answer would be only 2 because the bigger circle has a diameter of 18 and a smaller circle inside it cannot have the same diameter. I could be wrong but that’s what I put.</p>

<p>It must have been III only because it said “must be true.” Options I and II are possible, but they could also not be true. </p>

<p>How can 3 be true?</p>

<p>That’s not at all controversial… The answer is only III</p>

<p>I and II could be true, but they aren’t a “must be true.” Its III. </p>

<p>I agree. Only III must be true. The others may be true, but not absolutely at all times</p>

<p>I mistyped my original post; my brain was fried.</p>

<p>However, if 3 were true, then it should have been 18pi. I distinctly remember there not being a pi in answer choice 3.</p>

<p>If the larger circle has a radius of 9, then the smaller circle has a radius LESS THAN 9. So the diameter of the smaller circle is LESS THAN 18.</p>

<p>Precisely. Which makes only 2 the correct answer.</p>

<p>II would not be correct. If the only thing we know is that the smaller circle is contained in the larger one, then the radius of the smaller circle can be as close to 0 as we choose. In particular it can be less than 9/2.</p>

<p>You wrote the question wrong. It’s supposed to be III - “The smaller circle has a diameter less than 18”, and the answer is only III. How is this question even remotely hard? I and II are possibilities, but III MUST be true. No grounds for any discrepency</p>

<p>Wow, I’ve seen III written three different ways. Assuming III says, “The smaller circle has a diameter less than 18 inches”, only III must be true. This shouldn’t be a math “discrepancy.”</p>