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Is xy greater than 1? x and y are both positive.

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
Is xy greater than 1? x and y are both positive.  [#permalink]

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17 Oct 2017, 23:51
00:00

Difficulty:

25% (medium)

Question Stats:

93% (00:52) correct 7% (00:40) wrong based on 62 sessions

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If x and y are both positive, is xy greater than 1?

(1) x is less than 1.
(2) y is greater than 1.

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Manager
Joined: 05 Dec 2016
Posts: 246
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: Is xy greater than 1? x and y are both positive.  [#permalink]

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18 Oct 2017, 02:42
(1) + (2)
case 1:
x=5/9
y=9
x*y=5 greater than 1 ===> Answer is YES
case 2:
x=1/9
y=9
x*y=1 equal to 1 ===> Answer is NO

Manager
Joined: 09 Aug 2017
Posts: 62
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE: Research (Investment Banking)
Re: Is xy greater than 1? x and y are both positive.  [#permalink]

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23 Oct 2017, 18:33
I went with E.
St1 only gives us info on x, still need y.
St2, only gives us info on y, still need x.
Given statement 1 and 2, x could be 1/100000000 and y could be 1.5. Conversely, x could be .75 and Y could be 100. One would give a yes, the other would give a no.
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Intern
Joined: 29 Oct 2016
Posts: 20
Location: India
GMAT 1: 700 Q49 V36
GPA: 3.84
Re: Is xy greater than 1? x and y are both positive.  [#permalink]

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23 Oct 2017, 21:55
(1) x is less than 1.
(2) y is greater than 1.

1. Take x =0.5 and y=1 then xy < 1, Take x =0.5 and y=3 then xy > 1, So we get one Yes and one No
Insufficient
2. Take x =0.2 and y=3 then xy < 1, Take x =0.5 and y=3 then xy > 1, So we get one Yes and one No
Insufficient
1 + 2
Same we get one Yes and One No
Insufficient

So Ans E
Re: Is xy greater than 1? x and y are both positive. &nbs [#permalink] 23 Oct 2017, 21:55
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Is xy greater than 1? x and y are both positive.

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