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Intern
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Joined: 25 Aug 2008
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GMAT Prep Question [#permalink]

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New post 25 Aug 2008, 12:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Hi fellow GMAT Clubbers,

Yesterday, I took a GMATPrep Test and the first question that I saw on the quant section is the following:

(1/5)^m * (1/4)^18 = 1/2(10)^35, what is the value of m?

A. 17 - My answer
B. 18
C. 34
D. 35 - Correct Answer
E. 36

I have tried to re-work this problem numerous times and I still don not understand why 35 is the answer. Not knowing how to work this problem is driving me crazy. Can someone please explain to me why the answer is 35 or Choice D.

Also,

Is it just me or am I the only one that find this problem difficult. Look forward to hearing some feedback on this problem.

Thanks.

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Re: GMAT Prep Question [#permalink]

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New post 25 Aug 2008, 13:06
streetmny wrote:
Hi fellow GMAT Clubbers,

Yesterday, I took a GMATPrep Test and the first question that I saw on the quant section is the following:

(1/5)^m * (1/4)^18 = 1/2(10)^35, what is the value of m?

A. 17 - My answer
B. 18
C. 34
D. 35 - Correct Answer
E. 36

I have tried to re-work this problem numerous times and I still don not understand why 35 is the answer. Not knowing how to work this problem is driving me crazy. Can someone please explain to me why the answer is 35 or Choice D.

Also,

Is it just me or am I the only one that find this problem difficult. Look forward to hearing some feedback on this problem.

Thanks.


\((1/5)^m * (1/4)^{18} = 1/2(10)^{35}\)

\((1/4)^{18} = (1/2^2)^{18}=(1/2)^{36}\)

\(5^m= (1/4)^{18} * 2* (10^{35})) = =(1/2)^{36} *2 *10^{35} = (10/2)^{35}= 5^{35}\)
_________________

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Smiling wins more friends than frowning

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Director
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Re: GMAT Prep Question [#permalink]

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New post 25 Aug 2008, 18:02
I took GMATprep I last night too and got that question wrong. I have since figured it out

(1/5)^m * (1/4)^18 = 1/2(10)^35

(1/5)^m * (1/2^2)^18 = 1/2(10)^35

(1/5)^m * (1/2^36) = 1/2(10)^35

(1/5)^m = 1/2(10)^35 * 2^36/1 = 2^36/2(10)^36 = 2^35/10^35 = 1/5^35

so

1/5^m = 1/5^35

m=35

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Re: GMAT Prep Question [#permalink]

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New post 26 Aug 2008, 08:09
Thanks for the replies. These explanations were very helpful.

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Re: GMAT Prep Question   [#permalink] 26 Aug 2008, 08:09
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