What is the ratio of x:y:z ST1 z=1 AND xy= 32 ST2 x/y =2 z/y : DS Archive
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# What is the ratio of x:y:z ST1 z=1 AND xy= 32 ST2 x/y =2 z/y

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Manager
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What is the ratio of x:y:z ST1 z=1 AND xy= 32 ST2 x/y =2 z/y [#permalink]

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23 Nov 2005, 09:11
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What is the ratio of x:y:z

ST1 z=1 AND xy= 32

ST2 x/y =2 z/y = 1/4

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Director
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23 Nov 2005, 09:39
stmnt A) gives unique value for Z and a combination of values for X and Y so it is insufficient
stmnt B) gives two ratios that are insufficient to determine the ratio of X:Y:Z if you substitute you get 2Y:Y:(Y/4) and the ratio depends on the value of Y.
From both when Z=1 then Y=4 and X=8 so think that C) is the ans.
hope it helps
Director
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23 Nov 2005, 09:44
B

What is the ratio of x:y:z

ST1 z=1 AND xy= 32

insufficient can not calculat the relative values of x,y,z
x and y can have many values(18*2,6*6...) which are equal to = 32

Insuff

ST2 x/y =2 z/y = 1/4

x=2y,z=y/4

x:y:z=2y:y:y/4=2:1:1/4 = 8:4:1
hence suff

so B

what is OA ..?
SVP
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23 Nov 2005, 09:59
yup statement 2 is enough. so B is the answer.
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23 Nov 2005, 10:54
(1) xy=32, there are many ways to write 32 as the product of 2 numbers (e.g. 16*2, 1*32, 8*4) So, it's insufficient.
(2) two ratios are given x/y and y/z, so they can be combimed to form x:y:z. B it is.
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23 Nov 2005, 12:58
OA IS B
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23 Nov 2005, 12:58
OA IS B
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OA   [#permalink] 23 Nov 2005, 12:58
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