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# Does x + y = xy ?

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Math Expert
Joined: 02 Sep 2009
Posts: 58446
Does x + y = xy ?  [#permalink]

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11 Nov 2016, 01:07
00:00

Difficulty:

65% (hard)

Question Stats:

52% (01:43) correct 48% (01:25) wrong based on 133 sessions

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Does x + y = xy ?

(1) The product of x and a positive integer, z, is not equal to x.

(2) y is neither positive nor negative.

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Senior Manager
Joined: 06 Jun 2016
Posts: 254
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: Does x + y = xy ?  [#permalink]

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11 Nov 2016, 03:47
1
Bunuel wrote:
Does x + y = xy ?

(1) The product of x and a positive integer, z, is not equal to x.

(2) y is neither positive nor negative.

IMO C

from statement 1
x*z= not x i.e., x is not 0 and z is not 1
if x=0 x*z= 0
if z=1 x*z= x
value of y is not known hence insufficient.

from statement 2
y is neither positive nor negative. i.e., y=0
value of x is not known hence insufficient

Combining
x is not equal to 0 (x can be positive or negative) and y=0
x + y = xy does not hold true.

Hence C
Intern
Joined: 08 Sep 2018
Posts: 22
Location: United States
GMAT 1: 640 Q44 V33
Re: Does x + y = xy ?  [#permalink]

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01 Jan 2019, 22:39
Bunuel wrote:
Does x + y = xy ?

(1) The product of x and a positive integer, z, is not equal to x.

(2) y is neither positive nor negative.

@banuel can you give explanation on this problem please?

1.) if the product X and positive integer Z is not equal to X. Then X is not equal to 0. Then wouldn't this be sufficient?
Imperial College Moderator
Joined: 16 May 2017
Posts: 100
Location: India
GMAT 1: 710 Q47 V39
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Re: Does x + y = xy ?  [#permalink]

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02 Jan 2019, 02:34
1
soloyolodolo wrote:
Bunuel wrote:
Does x + y = xy ?

(1) The product of x and a positive integer, z, is not equal to x.

(2) y is neither positive nor negative.

@banuel can you give explanation on this problem please?

1.) if the product X and positive integer Z is not equal to X. Then X is not equal to 0. Then wouldn't this be sufficient?

X could be 2 and Y could be 2 as well. In that case 2+2=2*2
If X is 1 Y is 2 then answer is no.

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Re: Does x + y = xy ?   [#permalink] 02 Jan 2019, 02:34
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