If y is not equal to 0 and y is not equal to 1, which is

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If y is not equal to 0 and y is not equal to 1, which is [#permalink]

14 Jun 2012, 01:18

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76% (02:43) correct

23% (01:18) wrong

based on 2 sessions

If y is not equal to 0 and y is not equal to 1, which is greater, x/y or x/(y+1)

(1) x is not equal to 0
(2) x > y

[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Jun 2012, 01:22, edited 1 time in total.

Edited the question.

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Re: If y is not equal to 0 and y is not equal to 1, which is [#permalink]

14 Jun 2012, 01:34

If y is not equal to 0 and y is not equal to 1, which is greater, x/y or x/(y+1)

Is \frac{x}{y}>\frac{x}{y+1}? --> is \frac{x}{y}-\frac{x}{y+1}>0? --> is \frac{xy+x-xy}{y(y+1)}>0? --> is \frac{x}{y(y+1)}>0?

(1) x is not equal to 0. Not sufficient.
(2) x > y. Not sufficient.

(1)+(2) Still not sufficient, for example: if x>0>(y=-1/2) answer is NO but if x>y>0 answer is YES.

Answer: E.
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Re: If y is not equal to 0 and y is not equal to 1, which is [#permalink]

16 Jun 2012, 15:02

Bunuel, is there any easier method to solve this problem? Maybe, a non-algebraic or lesser-algebraic method? :-/

Re: If y is not equal to 0 and y is not equal to 1, which is [#permalink] 16 Jun 2012, 15:02

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If y is not equal to 0 and y is not equal to 1, which is

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If y is not equal to 0 and y is not equal to 1, which is

If y is not equal to 0 and y is not equal to 1, which is

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