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OG 13, DS Diagnostic Exam, Question 36

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nicole.witkowski Newbie | Next Rank: 10 Posts Default Avatar
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OG 13, DS Diagnostic Exam, Question 36

Post Wed Mar 18, 2015 6:00 pm
Hi everyone,

In OG 13's Diagnostic Test, under the Data Sufficiency portion, question 36 reads:

"If X and Y are points in a plane and X lies inside the circle C with center O and radius 2, does Y lie inside circle C?"

1) The length of line segment XY is 3
2) The length of line segment OY is 1.5

OG Answer - B

I answered D solely because the question stem stated that X lay inside the circle, not inside or on the circle. For statement one, I assumed that because point X lay inside the circle, its co-ordinates could only be some combination of -1, 0 and 1 (ex: (-1,0), (0,1), (1,1), (1,-1) etc...). I didn't bother including 2 or -2 as co-ordinate possibilities because I believed that the question provided me with all the details/restrictions I needed and that I could not ASSUME point X lay ON the circle as well.

So if a future question doesn't specify otherwise, is it safe to assume that if a point lies "inside" some shape, it actually means that it lies "inside or on" the shape? If so, can someone please explain why? Since we're obviously not allowed to defend our answer choices on this exam, I need to be sure I understand any implicit assumptions a question stem contains.

Thanks.

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GMAT/MBA Expert

Post Wed Mar 18, 2015 7:26 pm
There's no need to consider a scenario when 'X' is on the circumference. If we know that the radius of the circle is 2, the diameter is 4. Because XY = 3, which is slightly smaller than the diameter, you could have a scenario in which Y lies within the circle. See here:



Or you could have a scenario in which Y is outside the circle. See here:



Because we can get both a 'YES' and a 'NO' to the question, we've proven that the statement is not sufficient.

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