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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
Joined: 28 May 2018
Posts: 151
Location: India
Schools: ISB '21 (A)
GMAT 1: 640 Q45 V35
GMAT 2: 670 Q45 V37
GMAT 3: 730 Q50 V40
Which of X, X^2, and 1/X has the least value? 1). X>0 2). X< 1  [#permalink]

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17 Mar 2019, 07:17
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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
Status: Learning stage
Joined: 01 Oct 2017
Posts: 980
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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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)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
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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