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QS 30 from Gmat Club test 18

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Intern
Joined: 16 Apr 2008
Posts: 3

Kudos [?]: [0], given: 1

QS 30 from Gmat Club test 18 [#permalink]

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14 Nov 2010, 07:20
Is xy > x/y
1) 0<y<1
2) xy >1

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not

sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not

sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is

sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Shouldn't the answer be B and not C ?

If xy> 1 ; then either x or y can't be 0, x or y can't be -ve. x & y can only be both negative or both are positive then xy > x/y. So B shpuld be sufficient

Kudos [?]: [0], given: 1

Manager
Joined: 09 Jun 2010
Posts: 111

Kudos [?]: 151 [1], given: 1

Re: QS 30 from Gmat Club test 18 [#permalink]

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14 Nov 2010, 08:12
1
KUDOS
consider :
$$X=4$$ & $$Y=$$ $$1/2$$
$$xy = 2$$ & $$x/y$$$$= 8$$

$$x= 4$$ & $$y=2$$

$$xy = 8$$ & $$x/y$$$$=2$$

B is not sufficient.
Considering both statements together we get $$xy<x/y$$

Correct option C

Kudos [?]: 151 [1], given: 1

Intern
Joined: 01 Dec 2011
Posts: 13

Kudos [?]: 5 [0], given: 6

Re: QS 30 from Gmat Club test 18 [#permalink]

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13 Dec 2011, 06:54

(1) 0<y<1 ---> xy > x/y if x=4 and y=0.5 xy= 2 and x/y= 4/ 5/10 = (4*10)/5 = 8 --> xy < x/y
if x=0.5 and y=0.2 xy=0.1 and x/y= 0.5/0.2 = 2.5 --> xy < x/y

So statement 1 ALONE is sufficient to answer the question.

(2) xy>1 ---> xy > x/y if x=1 and y=2 xy= 2 and x/y=1/2 ---> xy > x/y
if x=3 and y=0.5 xy= 1.5 and x/y=6 ----> xy < x/y

So statement 2 ALONE is NOT sufficient to answer the question.

Answer A is the right solution I think.

Kudos [?]: 5 [0], given: 6

Manager
Joined: 17 Oct 2011
Posts: 240

Kudos [?]: 101 [0], given: 36

Location: United States
Concentration: Strategy, Marketing
GMAT 1: 720 Q51 V36
Re: QS 30 from Gmat Club test 18 [#permalink]

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13 Dec 2011, 10:09
andyhere4u wrote:
Is xy > x/y
1) 0<y<1
2) xy >1

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not

sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not

sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is

sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Shouldn't the answer be B and not C ?

If xy> 1 ; then either x or y can't be 0, x or y can't be -ve. x & y can only be both negative or both are positive then xy > x/y. So B shpuld be sufficient

A alone is not sufficient as we don't know whether x is 0 or not.
B alone is not sufficient as we don't know if x>1 and 0<y<1 or x and y > 1
say x=4, y=0.5, xy=2>1, but x/y=8 xy<x/y
if x=4 and y=2, then xy=8, x/y=2 xy>x/y

A and B together, we know that x is not 0 and 0<y<1, is xy>x/y can definitely be answered.

hope this helps

Kudos [?]: 101 [0], given: 36

Intern
Joined: 01 Dec 2011
Posts: 13

Kudos [?]: 5 [0], given: 6

Re: QS 30 from Gmat Club test 18 [#permalink]

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13 Dec 2011, 13:55
sanjuro9 wrote:
andyhere4u wrote:
Is xy > x/y
1) 0<y<1
2) xy >1

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not

sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not

sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is

sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Shouldn't the answer be B and not C ?

If xy> 1 ; then either x or y can't be 0, x or y can't be -ve. x & y can only be both negative or both are positive then xy > x/y. So B shpuld be sufficient

A alone is not sufficient as we don't know whether x is 0 or not.
B alone is not sufficient as we don't know if x>1 and 0<y<1 or x and y > 1
say x=4, y=0.5, xy=2>1, but x/y=8 xy<x/y
if x=4 and y=2, then xy=8, x/y=2 xy>x/y

A and B together, we know that x is not 0 and 0<y<1, is xy>x/y can definitely be answered.

hope this helps

I completely forgot the 0...

Thank you !

Kudos [?]: 5 [0], given: 6

Re: QS 30 from Gmat Club test 18   [#permalink] 13 Dec 2011, 13:55
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QS 30 from Gmat Club test 18

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