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Moderator  Joined: 18 Apr 2015
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Kudos [?]: 1158 , given: 5491

x > 1 and y > 1 [#permalink]
Expert's post 00:00

Question Stats: 53% (00:51) correct 46% (00:47) wrong based on 49 sessions
$$x > 1$$ and $$y > 1$$

 Quantity A Quantity B $$\frac{1}{\frac{1}{x} + \frac{1}{y}}$$ $$\frac{1}{x} + \frac{1}{y}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________ GRE Forum Moderator
Joined: 29 May 2018
Posts: 125
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Kudos [?]: 85  , given: 4

Re: x > 1 and y > 1 [#permalink]
1
KUDOS
Carcass wrote:
$$x > 1$$ and $$y > 1$$

 Quantity A Quantity B $$\frac{1}{\frac{1}{x} + \frac{1}{y}}$$ $$\frac{1}{x} + \frac{1}{y}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

We have to be careful while solving such questions,

it is given that x>1 and y>1, but nothing about them but only +ve i.e. x and y can be integers or some numbers.

When x and y = 2 (integer)

Then col A : 1 / (1/2+ 1/2) = 1
col B : 1/2 + 1/2 = 1.

both same.

When x and y are some number , let both be 2.5.

then Col A : 2.5/2 = 1.25
Col B : 2/2.5 => 0.8 then A > B.

We have different relationships, so D.
Intern Joined: 10 Oct 2017
Posts: 10
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Kudos [?]: 3 , given: 0

Re: x > 1 and y > 1 [#permalink]
input values like 3 and can be solved easily Re: x > 1 and y > 1   [#permalink] 24 Sep 2018, 19:52
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