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If x is a non-zero integer and 0 < y < 1, which of the follo

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If x is a non-zero integer and 0 < y < 1, which of the follo [#permalink] New post 30 Aug 2018, 16:21
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87% (01:10) correct 12% (00:26) wrong based on 24 sessions
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?

(A) \(x\)
(B) \(\frac{x}{y}\)
(C) \(xy^2\)
(D) \(x^2y\)
(E) \(\frac{x^2}{y}\)
[Reveal] Spoiler: OA

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Re: If x is a non-zero integer and 0 < y < 1, which of the follo [#permalink] New post 07 Sep 2018, 19:06
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sandy wrote:
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?

(A) \(x\)
(B) \(\frac{x}{y}\)
(C) \(xy^2\)
(D) \(x^2y\)
(E) \(\frac{x^2}{y}\)



when we divide an integer by fraction, the integer becomes mush larger.

Note:

1. y is a fraction

2. x could be positive or negative.

Option E.

\(x^2\) is always positive and is divied by y, a fraction.

The bet option is E.
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Re: If x is a non-zero integer and 0 < y < 1, which of the follo [#permalink] New post 13 Sep 2018, 12:58
Let y = 1/4
Let x = -3 or +3 or -1 or +1

Plugging in:
A,B,C out
D = if its +/- 3 then YES (=9/4 > 1) but if its +/- 1 then NO (=1/4 < 1)

E = (+/-3)^2/ (1/4) is 36 or (+/-1)^2/ (1/4) is 4 so E is TRUE
Re: If x is a non-zero integer and 0 < y < 1, which of the follo   [#permalink] 13 Sep 2018, 12:58
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If x is a non-zero integer and 0 < y < 1, which of the follo

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