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# X and Y are non-zero real numbers. Is X/Y > Y/X? (1) X^2 > Y^2 (2)

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1430
Location: India
X and Y are non-zero real numbers. Is X/Y > Y/X? (1) X^2 > Y^2 (2)  [#permalink]

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21 Jan 2019, 22:00
00:00

Difficulty:

55% (hard)

Question Stats:

51% (01:26) correct 49% (01:51) wrong based on 43 sessions

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X and Y are non-zero real numbers. Is X/Y > Y/X?

(1) X^2 > Y^2

(2) X/Y > 1
VP
Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: X and Y are non-zero real numbers. Is X/Y > Y/X? (1) X^2 > Y^2 (2)  [#permalink]

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21 Jan 2019, 22:57
amanvermagmat wrote:
X and Y are non-zero real numbers. Is X/Y > Y/X?

(1) X^2 > Y^2

(2) X/Y > 1

x/y > y/x when x is greater than y.

Statement 1: $$x^2 >y^2$$. x can be positive or can be negative. x and y both can be positive or x is positive y is negative or vice versa. NOT sufficient .

Statement 2: x/y >1. It clearly states that y/x must be lower than 1. Sufficient.

Re: X and Y are non-zero real numbers. Is X/Y > Y/X? (1) X^2 > Y^2 (2)   [#permalink] 21 Jan 2019, 22:57
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