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# If xy ≠ 0, is x greater than y?

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Math Expert
Joined: 02 Sep 2009
Posts: 52295
If xy ≠ 0, is x greater than y?  [#permalink]

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06 Feb 2018, 04:48
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Question Stats:

52% (01:03) correct 48% (01:14) wrong based on 40 sessions

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If xy ≠ 0, is x greater than y?

(1) 4x = 5y

(2) x < 0

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Manager
Joined: 05 Dec 2017
Posts: 52
Location: India
WE: Analyst (Commercial Banking)
Re: If xy ≠ 0, is x greater than y?  [#permalink]

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06 Feb 2018, 08:43
1
Option C?
From 1st we have different values of (x,y) as (5,4) ; (-5,-4), so insufficient
2nd statement alone is also not sufficient, as we dont have info about nature of y

Combining both we can sufficiently answer the question is x>y?

Hence C

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Intern
Joined: 01 Jan 2017
Posts: 9
Re: If xy ≠ 0, is x greater than y?  [#permalink]

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07 Feb 2018, 13:03
(1) 4.x=5.y --> x = 5/4.y
2 cases:
y = positive, for example 1, then x = 5/4, in this case x > y
y = negative, for example -1 , then x = -5/4, in this case x< y.
Therefore INS. (B,C or E)

(2) x<0. No information about y INS. (C or E)

(1+2) In (1) we had 2 cases. Now we know that we should take the 2nd case: y = negative, in this case x<y.
We know that x<y and that x is NOT greater than y. SUFFICIENT --> Answer C.
Re: If xy ≠ 0, is x greater than y? &nbs [#permalink] 07 Feb 2018, 13:03
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# If xy ≠ 0, is x greater than y?

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