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Is xy > 0? (1) x - y = 2 (2) (x/y) < 1

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Is xy > 0? (1) x - y = 2 (2) (x/y) < 1  [#permalink]

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New post Updated on: 30 Apr 2018, 20:14
1
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A
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E

Difficulty:

  45% (medium)

Question Stats:

62% (01:29) correct 38% (01:29) wrong based on 47 sessions

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Is xy > 0?


(1) \(x - y = 2\)

(2) \(\frac{x}{y}<1\)



Source: Experts Global

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Originally posted by pushpitkc on 30 Apr 2018, 18:50.
Last edited by Bunuel on 30 Apr 2018, 20:14, edited 3 times in total.
Renamed the topic, edited the question and edited the tags.
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Re: Is xy > 0?  [#permalink]

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New post 30 Apr 2018, 20:15
pushpitkc wrote:
Is xy > 0?

1. \(x - y = 2\)
2. \((\frac{x}{y})\) < 1

Source: Experts Global


clearly 1 n 2 are not suff

combining ==> x= y+2 ----1
x/y - 1 < 0 ==> (x-y)/y < 0 ==> (y+2-y)/y < 0 ; from 1
2/y < 0 ; 1/y<0
this means 1/y is negative, which means y is negative , but for x ; it can be either positive or negative from statement 1

hence IMO E
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Re: Is xy > 0? (1) x - y = 2 (2) (x/y) < 1  [#permalink]

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New post 17 May 2018, 10:54
I) x-y=2

x=2+y
But we have no info about y so can't say anything about x also so Insufficient

II) x/y<1

2 cases
1) 4/5<1 both positive xy>0
2) any one is negative x/y<1 xy<0

Multiple cases-Insufficient

Combining both

(2+y)/y<1

2/y<0 so y<0

x=2+ y
If y is between -2 to 0 then x is positive and xy<0

If y is less than -2 then x is negative then xy>0

So Insufficient

Answer E

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Re: Is xy > 0? (1) x - y = 2 (2) (x/y) < 1 &nbs [#permalink] 17 May 2018, 10:54
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