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GMAT PREP (Value of H?)

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Source: — Data Sufficiency |
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by cramya » Mon Feb 16, 2009 4:41 pm
Remember this sqrt(x^2) = |x|

Stmt I

h^2 = 36

|h| = 6 which means h can be -6 or +6

INSUFF

Stmt II

h^2 + 12h = -36
h^2 + 12h +36 = 0

H^2+6H+6H+36=0
h(h+6) + 6(h+6)
(h+6) (h+6)
h=-6

SUFF

Choose B

Hope this helps!

Regards,
CR
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by radhaswami » Mon Feb 16, 2009 4:44 pm
its gmat tells u that u should have unique answer. that means for a situation to be sufficient it should give u one and only one value of h.

case (1) h=+6 also h=-6 both are different so NOT SUFFICIENT
case (2) h=-6 and h=-6 note that both the values in this case are the same i.e. -6 so B IN ITSELF IS SUFFICIENT
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by Jeff@TargetTestPrep » Thu Dec 07, 2017 7:16 am
relaxin99 wrote:What is the value of h?

(1) h^2 = 36
(2) h^2 + 12h = -36
We need to determine the value of h.

Statement One Alone:

h^2 = 36

We can solve the equation as follows:

h^2 = 36

√(h^2) = √(36)

|h| = 6

h = 6 or h = -6

Since there are two different values for h, statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

h^2 + 12h = -36

We can solve the equation as follows:

h^2 + 12h = -36

h^2 +12 h + 36 = 0

(h + 6)(h + 6) = 0

h = -6

Since there is only one value for h, statement two alone is sufficient to answer the question.

Answer:B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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