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If x is a number such that -2 ≤ x ≤ 2, which of

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If x is a number such that -2 ≤ x ≤ 2, which of [#permalink] New post 19 Dec 2004, 17:39
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B
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D
E

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9. If x is a number such that -2 ≤ x ≤ 2, which of the following has the largest possible absolute value?

0 3x - 1
0 x^2 + 1
0 3 – x
0 x – 3
0 x^2 – x

I would like to know a shortcut on getting the answer to this question
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 [#permalink] New post 19 Dec 2004, 21:37
I think there is no other way except to playing with answer choices
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Re: PS # 9: Largest possible absolute value/range of inequal [#permalink] New post 20 Dec 2004, 16:07
cpcalanoc wrote:
9. If x is a number such that -2 ≤ x ≤ 2, which of the following has the largest possible absolute value?

0 3x - 1
0 x^2 + 1
0 3 – x
0 x – 3
0 x^2 – x

I would like to know a shortcut on getting the answer to this question


This can be answered quickly using logic and knowledge of the "rules" of the GMAT.

First, E is the only tricky answers, so lets leave this for last.

Okay, since the interval is symmetric, and answers C and D are simply negatives of one another, they both have the same max value. Since there is only one answer we can immediately eliminate both choices.

A is a simple linear function that is monotonically increasing so we can quickly plugin 2 to get 5 as the max value. B is a simple function of x^2 so we simply plug in the greatest absolute value in the interval which is either 2 or -2 and we get 5 again. Once again, since there is only one answer, we can eliminate both A and B.

Hence, by POE, we can quickly narrow the choices down to E without the burden of figuring out what the maximum value of this function is in the interval.

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AkamaiBrah
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MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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 [#permalink] New post 20 Dec 2004, 17:45
Wow, it's good to see you back rakesh and always an honor to read your posts Akamai :)
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 [#permalink] New post 20 Dec 2004, 17:52
Hi!
I am sorry to say that I don't agree with AKamai's answer E.

In my opinion the answer should be A.

Because the question asks for ABSOULUTE value. So irrespective of
-ve/ +ve we just need to find the greatest integer.

So for the Option A if we plug inn -2 we get 3*(-2)-1 =-7 ans the absolute value is 7 so A should be the answer.

Am I missing something ..?
Do let me know ..please

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Saurabh Malpani
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 [#permalink] New post 20 Dec 2004, 18:16
I agree with you saurabh, answer should be A. I just read akamai's post without reading the actual question :? "absolute" in front of "value" changes the whole meaning of the question :)
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 [#permalink] New post 20 Dec 2004, 18:45
Good day Paul! Nice to hear from u. How r u doing! yeah I agree with u and saurabh and the answer should be A as irrespective of +ve or -ve, it should be the highest number
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 [#permalink] New post 20 Dec 2004, 19:23
Paul wrote:
I agree with you saurabh, answer should be A. I just read akamai's post without reading the actual question :? "absolute" in front of "value" changes the whole meaning of the question :)


Oops. My bad. Tried to answer quickly during a rare moment of free time.

:oops:
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AkamaiBrah
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Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

  [#permalink] 20 Dec 2004, 19:23
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