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If xy > 0, does xy – y = 3?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128601 [0], given: 12180

If xy > 0, does xy – y = 3? [#permalink]

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New post 19 Sep 2017, 01:42
Expert's post
1
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A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

42% (00:51) correct 58% (00:53) wrong based on 31 sessions

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Kudos [?]: 128601 [0], given: 12180

Intern
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B
Joined: 17 Oct 2016
Posts: 28

Kudos [?]: 3 [0], given: 59

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
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Re: If xy > 0, does xy – y = 3? [#permalink]

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New post 19 Sep 2017, 02:04
I go with C.
A doesn't give any idea about y. It may be a whole number or a fraction.
B doesn't give idea about X

But combining them gives a definitive answer as NO

So C


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Kudos [?]: 3 [0], given: 59

Senior Manager
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G
Joined: 02 Jul 2017
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Kudos [?]: 59 [0], given: 59

Location: India
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If xy > 0, does xy – y = 3? [#permalink]

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New post 19 Sep 2017, 02:04
If xy > 0 => Either x and y both +ve or both -ve. Also both x and y not equal to 0
Question : is xy – y = 3?

(1) xy = 3
=> if xy – y = 3 true => 3-y=3 => y=0
As by question stem we know x and y both r non zero numbers. So above statement cant be true
Sufficient

(2) y – 1 = 0

y – 1 = 0 => y=1
as xy >0 => x>0

=> xy – y = x-1 . No other information related to x given
Insufficient

Answer: A

Kudos [?]: 59 [0], given: 59

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Joined: 18 Aug 2016
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Kudos [?]: 139 [0], given: 123

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Re: If xy > 0, does xy – y = 3? [#permalink]

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New post 19 Sep 2017, 02:11
Bunuel wrote:
If xy > 0, does xy – y = 3?

(1) xy = 3
(2) y – 1 = 0


(1) xy - y = 3
if xy = 3 then y = 0 which is not possible since xy will also be 0 in that case

sufficient xy-y is not equal to 3

(2) y=1
no info abt x

not sufficient

A
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Kudos [?]: 139 [0], given: 123

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Kudos [?]: 2 [0], given: 31

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Re: If xy > 0, does xy – y = 3? [#permalink]

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New post 19 Sep 2017, 03:41
Bunuel wrote:
If xy > 0, does xy – y = 3?

(1) xy = 3
(2) y – 1 = 0



1. xy = 3 --> 3 - y = 3 would lead to y = 0 and that is not possible. Hence, sufficient.

2. y -1 = 0 --> y = 1
If x=4, then xy-y = 3
But if x = 3, then xy-y = 2
Hence, not sufficient

Answer = A

Kudos [?]: 2 [0], given: 31

Re: If xy > 0, does xy – y = 3?   [#permalink] 19 Sep 2017, 03:41
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