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If x > y > 0, which of the following are true?

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If x > y > 0, which of the following are true? [#permalink] New post   14 Jan 2022, 03:05
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If \(x > y > 0\), which of the following are true?

I. \(\frac{x+1}{y+1}\) > \(\frac{x}{y}\)

II. \(\frac{x+1}{y+1}\) = \(\frac{x}{y}\)

III. \(\frac{x+1}{y+1}\) > 1

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) II and III only
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C
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prady2001
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Re: If x > y > 0, which of the following are true? [#permalink] New post   14 Jan 2022, 03:43
1
Let us just eliminate options,

In option 1,
Put x = 2, y =1
We get
2 + 1 / 1 + 1 > 2 / 1
3/2 > 2 {Not True}

In option 2,
Put x = 2, y =1
We get
2 + 1 / 1 + 1 = 2 / 1
3/2 = 2 {Not True}

In option 3
x + 1 / y + 1 > 1

x + 1 > y + 1
x > y which is true.
So the correct choice is C.
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gmatclubot
Re: If x > y > 0, which of the following are true? [#permalink]
14 Jan 2022, 03:43
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