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

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Senior Manager
Joined: 21 Jun 2006
Posts: 282

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If t and u are positive integers, what is the value of [#permalink]

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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

Kudos [?]: 144 [0], given: 0

Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 161 [0], given: 0

Re: DS: T & U [#permalink]

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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.

Kudos [?]: 161 [0], given: 0

Director
Joined: 12 Jun 2006
Posts: 531

Kudos [?]: 166 [0], given: 1

Re: DS: T & U [#permalink]

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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

Kudos [?]: 166 [0], given: 1

Re: DS: T & U   [#permalink] 26 Jun 2007, 22:11
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