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Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1

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Manager
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Joined: 28 May 2018
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Location: India
Schools: ISB '21 (A)
GMAT 1: 640 Q45 V35
GMAT 2: 670 Q45 V37
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Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1  [#permalink]

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New post 17 Mar 2019, 07:17
1
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A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

33% (01:36) correct 67% (00:25) wrong based on 3 sessions

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Which of \(X, X^2\), and \(1/X\) has the least value?

1) \(X>0\)
2) \(X< 1\)
Director
Director
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Status: Learning stage
Joined: 01 Oct 2017
Posts: 991
WE: Supply Chain Management (Energy and Utilities)
Re: Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1  [#permalink]

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New post 17 Mar 2019, 08:50
PriyankaPalit7 wrote:
Which of \(X, X^2\), and \(1/X\) has the least value?

1) \(X>0\)
2) \(X< 1\)


St1:- X>0
Suppose X=1 then \(X=X^2=\frac{1}{X}\). We can't determine the least value.
Insufficient.

St2:- X<1
Suppose X=-1 then \(X=\frac{1}{X}\).We can't determine the least value.
Insufficient.

Combined, 0<X<1
Suppose X=0.5 then X^2=0.25 and 1/X=2. We could determine the least value.
Hence sufficient.

Ans. (C)
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Re: Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1   [#permalink] 17 Mar 2019, 08:50
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Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1

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