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Is x < y?

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Kudos [?]: 128525 [0], given: 12180

Is x < y? [#permalink]

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New post 15 Jan 2014, 02:54
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A
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Question Stats:

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Is x < y?

(1) z < y
(2) z < x

Data Sufficiency
Question: 40
Category: Algebra Inequalities
Page: 156
Difficulty: 500


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Kudos [?]: 128525 [0], given: 12180

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Kudos [?]: 128525 [0], given: 12180

Re: Is x < y? [#permalink]

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New post 15 Jan 2014, 02:54

Kudos [?]: 128525 [0], given: 12180

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Re: Is x < y? [#permalink]

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New post 15 Jan 2014, 09:46
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As per my understanding best way will be to eliminate choices.
Since both (1) and (2) does not talk about the relation between x and y so we can eliminate option a,b,d.
We are left with option c and option e .

Now we take following two cases satisfying both given condition z<x and z<y -
x=2, y=3, z=1 -> x<y

x= 10, y=5, z =1 -> x>y

we can see that we can not guarantee the statement x>y by using both condition so answer is (E)-Statements (1) and (2) TOGETHER are NOT sufficient to answer the question

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Re: Is x < y? [#permalink]

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New post 15 Jan 2014, 10:26
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i) No information about 'x'
ii) No information about 'y'
Combining (i) and (ii), we know that z is less than, both x and why, but we do not know which one of the two (x or y) is greater than the other.
Hence (E)

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Re: Is x < y? [#permalink]

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New post 16 Jan 2014, 03:15
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Is x < y?

(1) z < y
(2) z < x


Statement 1

Given that z < y, the relationship between z and x can not be determined, hence it is not possible to evaluate the inequality x < y .........Not Sufficient.

Statement 2

Given that z < x, the relationship between z and y can not be determined, hence it is not possible to evaluate the inequality x < y .........Not Sufficient.

Combining statements (1) and (2), we have z less than both y and x and this statement is not sufficient to evaluate x < y.
As an example, the sets (x=3, y=4, z=2) and (x=4, y=3, z=2) satisfy the given inequalities, whereas x and y relation is not unique.

Answer: (E)

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Re: Is x < y? [#permalink]

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New post 18 Jan 2014, 05:14

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Re: Is x < y? [#permalink]

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New post 11 Sep 2015, 02:14
we do not have specific details about Z,X, Y

hence E

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Re: Is x < y? [#permalink]

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New post 27 Aug 2017, 05:17
For this question, I found using the number line a bit easier to think through this logically

Stem: Does X lie to the left of y on the number line?

S1: Z lies to the left of Y on the number line. Dont know the position of X. Insuff

S2: Z lies to the left of X on the number line. Dont know the position of Y. insuff

S1+S2: Z lies to the left of X and Y on the number line. We still dont know relative position of X and Y. X could be to the left of Y or Vice Versa. Insuff

Final Answer: E

Number line attached, just for better understanding
Attachments

Screen Shot 2017-08-27 at 5.41.47 PM.png
Screen Shot 2017-08-27 at 5.41.47 PM.png [ 28.3 KiB | Viewed 198 times ]


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Kudos [?]: 34 [0], given: 122

Re: Is x < y?   [#permalink] 27 Aug 2017, 05:17
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