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C
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Difficulty:
25%
(medium)
Question Stats:
73% (01:10) correct
27%
(01:16)
wrong
based on 993
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If r and t are positive integers, what is the value of t?
(1) \(t^{r-1} = 1\)
(2) \(r ≠ 1\)
(1) \(t^{r-1} = 1\)
(2) \(r ≠ 1\)
22 Jan 2012, 08:51
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If r and t are positive integers, what is the value of t?
(1) t^(r-1) = 1
(2) r ≠ 1
(1) t^(r-1) = 1
(2) r ≠ 1
If r and t are positive integers, what is the value of t?
Note that r and t are positive integers.
(1) \(t^{r-1}=1\) --> if \(r=1\), then \(t\) can be any positive integer as in this case we would have \(t^0=1\). Not sufficient.
(2) \(r\neq{1}\). Clearly insufficient as no info about \(t\).
(1)+(2) As \(r\neq{1}\) then in order \(t^{r-1}=1\) to hold true \(t\) must be 1. Sufficient.
Answer: C.
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