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If x > y > 0, which of the following are true?
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14 Jan 2022, 03:05
14 Jan 2022, 03:05
Expert Reply
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Question Stats:
62% (00:57) correct
37% (01:16) wrong based on 8 sessions
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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
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
Re: If x > y > 0, which of the following are true?
[#permalink]
14 Jan 2022, 03:43
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.
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.
gmatclubot
Re: If x > y > 0, which of the following are true? [#permalink]
14 Jan 2022, 03:43
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