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# If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?

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Joined: 02 Sep 2009
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If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?  [#permalink]

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02 Aug 2018, 01:14
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25% (medium)

Question Stats:

71% (01:09) correct 29% (01:05) wrong based on 58 sessions

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If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?

(1) w/y = x/z

(2) wy = xz

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Joined: 02 Aug 2018
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Re: If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?  [#permalink]

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02 Aug 2018, 01:30
(1) is sufficient w/x=y/z
(2) is insufficient, w/x = z/y

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Re: If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?  [#permalink]

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02 Aug 2018, 02:40
Is w/x = y/z ?

(1) w/y = x/z
w/x = y/z
Sufficient

(2) wy = xz
w/x = z/y
Insufficient

Hence, A.
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Re: If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?  [#permalink]

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02 Aug 2018, 12:31
1
I have a question: If statement 2 states that w/x = z/y, so is not it answering to the given question as "no" and hence is sufficient too in itself (no is also an answer, right)? Even though, both the statement are giving contradicting solutions. What am I missing?
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Re: If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z?  [#permalink]

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02 Aug 2018, 20:24
1
urvashis09 wrote:
I have a question: If statement 2 states that w/x = z/y, so is not it answering to the given question as "no" and hence is sufficient too in itself (no is also an answer, right)? Even though, both the statement are giving contradicting solutions. What am I missing?

Hi urvashis09,

Question stem:- Is $$\frac{w}{x}=\frac{y}{z}$$? (Y/N)

St2:- wy=xz

"NO" case is known to you. ($$\frac{w}{x}=\frac{z}{y}\neq{\frac{y}{z}}$$)

"Yes" Case:-
1. All the four variables are equal. i.e., w=x=y=z=Any number (say 1)
So, wx=yz=1.
Therefore,$$\frac{w}{x}=\frac{y}{z}=1$$
So, st2 is insufficient due to inconsistency.

Hope it helps.
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Re: If wxyz ≠ 0, does the ratio of w to x equal the ratio of y to z? &nbs [#permalink] 02 Aug 2018, 20:24
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