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# If x > 0, what is the value of x ?

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Math Expert
Joined: 02 Sep 2009
Posts: 52907
If x > 0, what is the value of x ?  [#permalink]

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13 Dec 2015, 04:19
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:38) correct 30% (00:42) wrong based on 150 sessions

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If x > 0, what is the value of x ?

(1) x > 5
(2) 40 – x^2 = 4

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Manager
Joined: 17 Aug 2015
Posts: 96
Location: India
Concentration: Strategy, General Management
Schools: Duke '19 (II)
GMAT 1: 750 Q49 V42
GPA: 4
WE: Information Technology (Investment Banking)
Re: If x > 0, what is the value of x ?  [#permalink]

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16 Dec 2015, 09:05

(1) x>5 => doesn't tell us anything about x. It could be 6, or it could be 20. NOT SUFFICIENT.
(2) 40 - x^2 = 4
So, 36=x^2
So, x = -6 or x = +6

Since we are given x>0, x = +6
SUFFICIENT
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Senior Manager
Joined: 26 Dec 2015
Posts: 256
Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
Re: If x > 0, what is the value of x ?  [#permalink]

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08 Jun 2017, 20:17
surprised this is marked at 600-700.

ST1= obviously insufficient. x can be 100,000,000 or 6.

ST2= 2 answers (b/c quadratic). When you solve, you get x=+6 or x=-6.

*Key here is to REMEMBER GIVEN: x>0 (this is the trick). ST1 gives us no new info b/c we know the answer is either positive or negative, and the GIVEN is that the answer NEED BE positive.
Manager
Joined: 03 Feb 2017
Posts: 75
Location: Australia
GMAT 1: 720 Q48 V40
Re: If x > 0, what is the value of x ?  [#permalink]

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12 Jun 2017, 19:15
From statement 2, x^2 = 36 and x = +6 or -6

But the question conveniently mentions x>0, so it has to be +6, so Statement 2 is sufficient --> Answer B
Director
Joined: 09 Mar 2018
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Location: India
Re: If x > 0, what is the value of x ?  [#permalink]

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29 Jan 2019, 19:52
Bunuel wrote:
If x > 0, what is the value of x ?

(1) x > 5
(2) 40 – x^2 = 4

Its given x> 0, can x can be only +ive numbers

Lets attack (2) first

(2) 40 – x^2 = 4
x^2 = 36
x = 6

Sufficient

(1) x > 5
Can be any value

B
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Re: If x > 0, what is the value of x ?   [#permalink] 29 Jan 2019, 19:52
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