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What is the value of t^(-1)?

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V
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135163 [0], given: 12664

What is the value of t^(-1)? [#permalink]

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New post 11 Nov 2017, 08:29
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

98% (00:41) correct 2% (00:03) wrong based on 54 sessions

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Kudos [?]: 135163 [0], given: 12664

Director
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P
Joined: 25 Feb 2013
Posts: 613

Kudos [?]: 302 [0], given: 38

Location: India
GPA: 3.82
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Re: What is the value of t^(-1)? [#permalink]

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New post 11 Nov 2017, 09:11
Bunuel wrote:
What is the value of \(t^{(-1)}\)?


(1) \(t^{(-2)} < 1\)

(2) \(t^{(-3)} = \frac{1}{27}\)


Statement 1: \(t^{(-2)} < 1 => t^2>1\). so we will not get any specific value of \(t\) from this equation. Insufficient

Statement 2: \(t^{(-3)} = \frac{1}{27}\), take the cube root ie. raise both sides to \(\frac{1}{3}\) rd power

\(t^{(-1)} = \frac{1}{3}\). Sufficient

Option B

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Intern
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B
Joined: 15 Aug 2016
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Kudos [?]: 1 [0], given: 71

Re: What is the value of t^(-1)? [#permalink]

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New post 13 Nov 2017, 04:15
1/t=?

Statement 1-
t^2< 1
=> t must be between 0 and 1.Insuff

Statement 2-
1/t^3=1/27
=>t=3.
=> 1/t=1/3.Suff.

IMO:B

Kudos [?]: 1 [0], given: 71

Intern
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Joined: 22 Apr 2017
Posts: 15

Kudos [?]: 0 [0], given: 7

Concentration: General Management, Operations
Re: What is the value of t^(-1)? [#permalink]

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New post 15 Nov 2017, 00:54
Bunuel wrote:
What is the value of \(t^{(-1)}\)?


(1) \(t^{(-2)} < 1\)

(2) \(t^{(-3)} = \frac{1}{27}\)


In value data sufficiency questions, your answer should be a specific value.

statement 1 produces a range while statement 2 will yield a specific value

Kudos [?]: 0 [0], given: 7

Re: What is the value of t^(-1)?   [#permalink] 15 Nov 2017, 00:54
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