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a and b value

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Source: — Data Sufficiency |

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by Anurag@Gurome » Wed Feb 15, 2012 4:01 am
klaud wrote:Can anyone explain to me?

Image
(1) a/b = 2/3
If a = 6 and b = 9 then ab = 6 * 9 = 54 and a/b = 2/3
If a = 4 and b = 6 then ab = 4 * 6 = 24 and a/b = 2/3
No definite answer, so statement 1 is NOT sufficient.

(2) a^3 = 64 and b^3 = 216 implies 4^3 = 64, so a = 4 and 6^3 = 216, so b = 6.
We know the values of both a and b, so we can find the value of ab; SUFFICIENT.

[spoiler]The correct answer is B; statement 2 alone is sufficient to answer the question.[/spoiler]
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