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Quant Question GMATPRep

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Joined: 14 May 2010
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Quant Question GMATPRep [#permalink]

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New post 27 Jun 2011, 19:38
5^21 x 4^11 = 2 x 10^n

x means times

11

21

22

23

32

I spent over 5 minutes trying to figure this question out during a practice without luck. I am sure there is a trick to it. Comments on how to solve are greatly appreciated.

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Intern
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Re: Quant Question GMATPRep [#permalink]

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New post 27 Jun 2011, 20:38
Hi

Answer: 21

Q: 5^21 x 4^11 = 2 x 10^n
A: Try to make Left hand side eqn equivalent to Right hand side eqn.

LHS
5^21
4^11 = 2^21 x 2
combining both: 2 x 5^21 x 2^21 = 2 x 10^21 ( x^a x y^a = (xy)^a)
Comparing both LHS and RHS
n=21

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Re: Quant Question GMATPRep [#permalink]

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New post 27 Jun 2011, 20:39
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Europe2011 wrote:
5^21 x 4^11 = 2 x 10^n

x means times

11

21

22

23

32

I spent over 5 minutes trying to figure this question out during a practice without luck. I am sure there is a trick to it. Comments on how to solve are greatly appreciated.


"N" seems to the only variable in the equation. We could re-write the above as following
[quote="Europe2011"]5^21 x 2^22 = 2 x 5^n x 2^n

N is equal to 21

In the question "x means times" is to clarify that X is the multiplication symbol and not the variable X.

Kudos [?]: 11 [1], given: 31

Re: Quant Question GMATPRep   [#permalink] 27 Jun 2011, 20:39
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