Is c equal to the median of the 3 positive integers a, b, c

Question

S1 a=c

S2 b - a < c

i am not convinced by OA

Bunuel · Answer

Is c equal to the median of the 3 positive integers a, b, c?

The median of a set with odd terms is the middle number (when arranged in ascending or descending order). So the question asks whether c is the middle term in the given set.

(1) a=c --> the set is either {c, c, b} or {b, c, c} in both cases median=c as c is the middle term. Sufficient.

(2) b - a < c --> c may or may not be the middle term: if b=1, a=1 and c=2 then answer will be NO bu if b=1, a=1 and c=1 the answer will be YES. Not sufficient.

Answer: A.

gmatmasteryh · Answer

i got wrong by picking E. Y.Y Thanks for posting

vjsharma25 · Answer

But Bunuel, for statement (I) can't "b" be equal to "c",in that case numbers will be same and "b" can be the median.
M I missing some information which should be understood from the question?

Bunuel · Answer

If all unknowns are the same then we'll have the set with all the same numbers {c, c, c} and the median=a=b=c.

vjsharma25 · Answer

In that case "A" can't be the answer,right?

Bunuel · Answer

Answer to the question is A.

Again: if all unknowns are the same then we'll have the set with all the same numbers {c, c, c} and the median=a=b=c and the answer to the question "is c equal to the median of the 3 positive integers a, b, c" will still be YES.

vjsharma25 · Answer

My bad Bunuel, i totally overlooked that. Yes,answer is A.

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Is c equal to the median of the 3 positive integers a, b, c

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Is c equal to the median of the 3 positive integers a, b, c

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