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If t and u are positive integers, what is the value of

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If t and u are positive integers, what is the value of [#permalink] New post 26 Jun 2007, 21:53
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If t and u are positive integers, what is the value of t^-2*u^-3?

(1) t^-3*u^-2 = 1/36

(2) t(u^-1) = 1/6
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Re: DS: T & U [#permalink] New post 26 Jun 2007, 22:02
ArvGMAT wrote:
If t and u are positive integers, what is the value of t^-2*u^-3?

(1) t^-3*u^-2 = 1/36

(2) t(u^-1) = 1/6


should be A.

from 1: when 1/(t^3 u^2) = 1/36, t= 1 and u = 6.

from 2: when t/u = 1/6, t could be anything including 1 and u also could be anything inculding 6.
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Re: DS: T & U [#permalink] New post 26 Jun 2007, 22:11
ArvGMAT wrote:
If t and u are positive integers, what is the value of t^-2*u^-3?

(1) t^-3*u^-2 = 1/36

(2) t(u^-1) = 1/6


A

(1) t^-3*u^-2 = 1/36 = 1/t^3 * 1/u^2 = 1/36
36 factors can be 6,6; 3,12; 1,36; 2,18; 4,9
The only combo that fits 1/t^3 * 1/u^2 = 1/36 is 4,9; u^2 = 4 and t^3 = 9.

(2) t can be 6 and u can be 36. t can be 1 and u can be 6. two, maybe more possible answers. insufficient
Re: DS: T & U   [#permalink] 26 Jun 2007, 22:11
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