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Source: — Data Sufficiency |
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by vk_vinayak » Mon Aug 27, 2012 11:05 pm
grandh01 wrote:Is x < y?
(1) z < y
(2) z < x

oa is A
The OA you provided is not correct. Either A alone or B alone is clearly not sufficient to say if x<y.

Combined: If z=3, y=8, and x=5, then x<y.
If z=3, y=5, and x=8, then x>y. NOT SUF.

Ans E.
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by neelgandham » Mon Aug 27, 2012 11:07 pm
Grandh - can you recheck the OA

Is x < y?
(1) z < y
No mention of x. So, statememt I is not sufficient to answer the question.
(2) z < x
No mention of y. So, statememt II is not sufficient to answer the question.
Statement I + II
Case I: Let (x,y,z) be (3,2,1) respectively. It satisfies both the conditions z<y(1<2) and z<x(1<3). In this case, x>y(3>2).
Case II: Let (x,y,z) be (2,3,1) respectively. It satisfies both the conditions z<y(1<3) and z<x(1<2). In this case, x<y(2<3).

As Statement I and Statement II combined isn't sufficient to answer the question, the correct answer choice should E
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by alex.gellatly » Mon Aug 27, 2012 11:09 pm
grandh01 wrote:Is x < y?
(1) z < y
(2) z < x
I think the correct answer should be E and here's why:

Question: is x<y
Statement 1: z<y is insufficient because we don't know anything about x nor about it's relationship with y.

Statement 2: z<x is insufficient because we don't know anything about y nor about it's relationship with x.

Together: They are both insufficient because we don't know how x and y relate to each other. For example it could be z<x<y or z<y<x both of these equations satisfy 1 and 2. Thus, this is not sufficient.
A useful website I found that has every quant OG video explanation:

https://www.beatthegmat.com/useful-websi ... tml#475231
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