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Is xy > x/y? (1) xy > 0 (2) y < 0 A. Statement (1)

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Joined: 17 Oct 2008
Posts: 7

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Is xy > x/y? (1) xy > 0 (2) y < 0 A. Statement (1) [#permalink]

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New post 17 Oct 2008, 10:33
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is xy > x/y?
(1) xy > 0
(2) y < 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Kudos [?]: 8 [0], given: 0

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Re: xy [#permalink]

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New post 17 Oct 2008, 11:04
[quote="mikegao"]Is xy > x/y?
(1) xy > 0
(2) y < 0

stem

xy- x/y > 0

x(y^2 - 1)/y > 0

/y/>1 , x,y both -ve or both +ve

or x+ve and y -ve,/y/<1

FROM 1

x,y has the same sign...........insuff

from 2

y is -ve, no idea about /y/..........insuff

both

x,y have th same sign -ve , no idea about /y/..........insuff

E

Kudos [?]: 430 [0], given: 49

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Joined: 17 Jun 2008
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Kudos [?]: 279 [0], given: 0

Re: xy [#permalink]

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New post 17 Oct 2008, 12:01
For xy > x/y,

case1: x > 0 and (y > 1 or y < -1)
case2: x<0 and -1<y<1

Stmt1 says that either both x and y are >0 or both < 0. Insufficient to answer the question.
Stmt2 says y < 0. Insufficient.

Combining the two too, insufficient.

Hence, E.

Kudos [?]: 279 [0], given: 0

Re: xy   [#permalink] 17 Oct 2008, 12:01
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Is xy > x/y? (1) xy > 0 (2) y < 0 A. Statement (1)

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