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# If x and y are integers, is xy greater than 0?

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RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2435
Concentration: Operations, Strategy
Schools: Erasmus
If x and y are integers, is xy greater than 0?  [#permalink]

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19 Jun 2019, 15:01
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Difficulty:

15% (low)

Question Stats:

77% (00:44) correct 23% (00:39) wrong based on 61 sessions

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If x and y are integers, is xy greater than 0?

1) x^2 is greater than 0

2) y^3 < 0
Director
Joined: 20 Mar 2018
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Re: If x and y are integers, is xy greater than 0?  [#permalink]

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19 Jun 2019, 16:27
Is x•y > 0
thus ,does x and y have the same sign? Yes/No

(St1) x^2 >0
No info about y (not suff)

(St2) y^3 <0
No info about x (not suff)

(1+2) x can be -ve or +ve ,but we know y is -ve from (st2)
Hence x•y is -ve or +ve (not suff)

Posted from my mobile device
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Re: If x and y are integers, is xy greater than 0?  [#permalink]

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19 Jun 2019, 17:16
How come both statements are not sufficient. Kindly explain pls...

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RSM Erasmus Moderator
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Re: If x and y are integers, is xy greater than 0?  [#permalink]

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19 Jun 2019, 23:57
1
ghmeena wrote:
How come both statements are not sufficient. Kindly explain pls...

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1) x^2 is greater than 0

Let x = 2 or x = -2.

We do not know anything about y.

y could be negative or positive or even zero.

Insufficient

2) y^3 < 0

y is negative so, Let y= -2.

x could be negative or positive or even zero.

Insufficient

Combine 1 & 2

x =2 & y= -2..........xy <0....Answer is No

x =-2 & y= -2..........xy >0....Answer is Yes

Insufficient

Hope it helps
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Re: If x and y are integers, is xy greater than 0?  [#permalink]

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20 Jun 2019, 00:04
Mo2men wrote:
If x and y are integers, is xy greater than 0?

1) x^2 is greater than 0

2) y^3 < 0

The question asks whether x and y have the same sign. (1) says that x ≠ 0 (x^2 >= 0 for all values of x, so x^2 > 0 just means that x ≠ 0). (2) says that y < 0. When combining we only have that x ≠ 0 and y < 0. It's possible that both x and y are negative as well as x is positive and y is negative.

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Re: If x and y are integers, is xy greater than 0?  [#permalink]

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20 Jun 2019, 04:05
Mo2men wrote:
If x and y are integers, is xy greater than 0?

1) x^2 is greater than 0

2) y^3 < 0

#1
x can be + or - and y is not know insufficeint
#2
y has to be -ve value of x not know insufficient
from 1 & 2
x sign not know , y is -ve so xy can be or not >0
insufficeint
IMO E
Re: If x and y are integers, is xy greater than 0?   [#permalink] 20 Jun 2019, 04:05