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X, Y, Z, W are all positive.. What is the value of the ratio Z:W ?

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X, Y, Z, W are all positive.. What is the value of the ratio Z:W ?  [#permalink]

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New post 12 Mar 2018, 04:00
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A
B
C
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Question Stats:

75% (01:08) correct 25% (00:47) wrong based on 73 sessions

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X, Y, Z, W are all positive numbers. What is the value of the ratio Z:W ?

(1) Ratio X:Y = 2:3

(2) Z equals half of the ratio X:Y and W equals thrice of the ratio X:Y.
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X, Y, Z, W are all positive.. What is the value of the ratio Z:W ?  [#permalink]

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New post Updated on: 12 Mar 2018, 06:27
amanvermagmat wrote:
X, Y, Z, W are all positive numbers. What is the value of the ratio Z:W ?

(1) Ratio X:Y = 2:3

(2) Z equals half of the ratio X:Y and W equals thrice of the ratio X:Y.


Question : z:w = ?

Statement 1: X:Y = 2:3

No information about ratio of Z and W hence
NOT SUFFICIENT

Statement 2: Z equals half of the ratio X:Y and W equals thrice of the ratio X:Y.
Z = (1/2)*(X:Y)
W = (3)*(X:Y)
Z:W = (1/2)/3 = 1/6

SUFFICIENT


Answer: Option B
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Originally posted by GMATinsight on 12 Mar 2018, 05:33.
Last edited by GMATinsight on 12 Mar 2018, 06:27, edited 1 time in total.
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X, Y, Z, W are all positive.. What is the value of the ratio Z:W ?  [#permalink]

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New post 12 Mar 2018, 05:45
GMATinsight wrote:
amanvermagmat wrote:
X, Y, Z, W are all positive numbers. What is the value of the ratio Z:W ?

(1) Ratio X:Y = 2:3

(2) Z equals half of the ratio X:Y and W equals thrice of the ratio X:Y.




Statement 2: Z equals half of the ratio X:Y and W equals thrice of the ratio X:Y.
Z and Y are dependent on the ratio of X:Y which is unklnown hence

NOT SUFFICIENT


Answer: Option C



Hi...
You are wrong on statement II..
Statement I is clearly insuff..
However in statement II, z and w are realtors to same term x/y, so that is sufficient..
z=1/2*x/y
w=3*x/y
So z/w=1/(2*3)=1/6
Sufficient

B
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: X, Y, Z, W are all positive.. What is the value of the ratio Z:W ?  [#permalink]

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New post 12 Mar 2018, 06:23
You have used both statement A and B to arrive at ratio at Z:W so answer is C


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Re: X, Y, Z, W are all positive.. What is the value of the ratio Z:W ? &nbs [#permalink] 12 Mar 2018, 06:23
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