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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 60% (00:47) correct 40% (00:43) wrong based on 95 sessions

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If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

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Director  V
Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Bunuel wrote:
If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

If x is an integer and x^2 < 37

the greatest possible value of x will be 6

the least possible value of x will be -6

the greatest possible value of x minus the least possible value of x 6+6 = 12

Hence D
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Manager  B
Joined: 18 Jan 2018
Posts: 50
Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Answer is choice D.

-6 & 6 are the least and greatest possible values of x. Hence difference of these two values is 12.
VP  D
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
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Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Bunuel wrote:
If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

$$x^2$$ yields positive values all time. we must consider both positive and negative values of x.

x ( highest ) = 6
x ( lowest) = -6.

greatest possible value = 6 - (-6) = 12.

D is the correct answer.
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Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Bunuel wrote:
If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

greatest value = 6
and least value = -6
so 6-(-6) = 12
IMO D
Manager  B
Joined: 27 Mar 2016
Posts: 110
If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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since x2<37
greatest positive value of x =6
Least value = -6
6-(-6)=12

D
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GMAT 1: 630 Q37 V33 GPA: 4
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Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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1
Question:
If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

36 is the square of 6
Therefore, the range lies between -6<x<6.
--> 6-(-6)=6+6=12(Ans) D
Target Test Prep Representative D
Status: Founder & CEO
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Posts: 8103
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Re: If x is an integer and x^2 < 37, what is the greatest possible value o  [#permalink]

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Bunuel wrote:
If x is an integer and x^2 < 37, what is the greatest possible value of x minus the least possible value of x?

A. 5
B. 6
C. 10
D. 12
E. 36

The largest integer x could be is 6, and the smallest it could be is -6. So the difference is 6 - (-6) = 12.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If x is an integer and x^2 < 37, what is the greatest possible value o   [#permalink] 11 Mar 2019, 08:10
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