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Is x = 1/y?

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Math Expert
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Is x = 1/y?  [#permalink]

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New post 21 Oct 2015, 20:33
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:25) correct 9% (00:34) wrong based on 1153 sessions

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D
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Re: Is x = 1/y?  [#permalink]

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New post 21 Oct 2015, 22:12
Is x = 1/y ? --> Is x - (1/y) = 0 --> Is xy = 1 ?

St1: Sufficient
St2: (1/xy) - 1 = 0 --> 1 - xy = 0 --> xy = 1... Sufficient

Answer: D
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Re: Is x = 1/y?  [#permalink]

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New post 23 Oct 2015, 00:15
2
Bunuel wrote:
Is x = 1/y?

(1) xy = 1
(2) 1/(xy) = 1

Kudos for a correct solution.


1) Rewrite to get x = 1/y --> sufficient
2) Multiply by x to get x = 1/y --> sufficient

Answer D
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Re: Is x = 1/y?  [#permalink]

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New post 23 Oct 2015, 19:41
Is x = 1/y?

(1) xy = 1
(2) 1/(xy) = 1

From st 1
(1) xy = 1
there fore
x = 1/y

sufficient

From st 2
(2) 1/(xy) = 1

1/y = x ( simply rearranging the statement )

sufficient
hence D ans
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Re: Is x = 1/y?  [#permalink]

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New post 18 Sep 2017, 01:26
1 rewrite to get x=1/y sufficient
2 rewrite or multiply by x on both the sides you get x=1/y sufficient
D
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Re: Is x = 1/y?  [#permalink]

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New post 10 Oct 2017, 07:54
Top Contributor
Bunuel wrote:
Is x = 1/y?

(1) xy = 1
(2) 1/(xy) = 1

Kudos for a correct solution.


Target question: Is x = 1/y?

Statement 1: xy = 1
This tells us that y does NOT equal 0 (and x does NOT equal 0 too)
So, if we take xy = 1 and divide both sides by y, we get x = 1/y
PERFECT, this is exactly what we are looking for.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 1/(xy) = 1
This tells us that x and y do NOT equal 0
So, we can take 1/(xy) and multiply both sides by x to get 1/y = x
Also PERFECT!
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:

Cheers,
Brent
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Re: Is x = 1/y?  [#permalink]

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New post 11 Jan 2019, 02:05
Cross multiply the question and it becomes xy = 1
Now check the options
So both separately prove xy=1
Hence D

Kudos please
GMAT Club Bot
Re: Is x = 1/y? &nbs [#permalink] 11 Jan 2019, 02:05
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