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# If xy ≠ 0, what is the ratio of x/6 to y/7?

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Math Expert
Joined: 02 Sep 2009
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If xy ≠ 0, what is the ratio of x/6 to y/7?  [#permalink]

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26 Mar 2018, 22:20
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Difficulty:

35% (medium)

Question Stats:

92% (00:46) correct 8% (02:42) wrong based on 20 sessions

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If xy ≠ 0, what is the ratio of x/6 to y/7?

(1) 7x = 6y
(2) x = 6

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Joined: 31 Oct 2013
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Re: If xy ≠ 0, what is the ratio of x/6 to y/7?  [#permalink]

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26 Mar 2018, 23:15
Bunuel wrote:
If xy ≠ 0, what is the ratio of x/6 to y/7?

(1) 7x = 6y
(2) x = 6

we are asked to find out the ration of x/6 to y/7 which is equivalent to 7x/6y
1. 7x=6y
7x/6y=1
so, sufficient.
2. we only know the value of x. insufficient.
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Re: If xy ≠ 0, what is the ratio of x/6 to y/7?  [#permalink]

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26 Mar 2018, 23:20
Clearly A.

Statement 1 is sufficient.

Statement 2 offers no information about y. Therefore, insufficient.

IMO A

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Re: If xy ≠ 0, what is the ratio of x/6 to y/7?  [#permalink]

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26 Mar 2018, 23:38
Bunuel wrote:
If xy ≠ 0, what is the ratio of x/6 to y/7?

(1) 7x = 6y
(2) x = 6

We know xy ≠ 0, so it is OK to divide by either x or y.
What is x/6 : y/7

$$\frac{x}{6}*\frac{7}{y}$$ ... dividing by fraction is same as multiplying by it's reciprocal.
$$\frac{7x}{6y}$$

(1) $$7x = 6y = \frac{7x}{6y} = 1$$ Sufficient.

(2) x = 6 .. nothing about y is given. Not suff

Hence Option (A) is correct.

Best,
Re: If xy ≠ 0, what is the ratio of x/6 to y/7? &nbs [#permalink] 26 Mar 2018, 23:38
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