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
What is the value of (1/t²)(1/u³)?
Statement 2: t/u = 1/6.
Case 1: t=1, u=6
In this case, (1/t²)(1/u³) = (1/1²)(1/6³).
Case 2: t=2, u=12
In this case, (1/t²)(1/u³) = (1/2²)(1/12³).
Since (1/t²)(1/u³) can be different values, INSUFFICIENT.
Statement 1: (1/t³)(1/u²) = 1/36.
Case 1: t=1, u=6
This case also satisfies statement 1, since (1/1³)(1/6²) = 1/36.
No other pair of positive integers will satisfy Statement 1.
Since only Case 1 is possible, (1/t²)(1/u³) = (1/1²)(1/6³).
SUFFICIENT.
The correct answer is
A.
Last edited by
GMATGuruNY on Fri Aug 10, 2018 7:50 am, edited 1 time in total.
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