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Intern
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Joined: 14 May 2010
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Schools: Said, Judge, HEC, Cornell, Darden, Columbia, Notre Dame, NYU, Kellog, INSEAD, Emory
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Quant Question GMATPRep [#permalink] New post 27 Jun 2011, 18:38
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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Re: Quant Question GMATPRep [#permalink] New post 27 Jun 2011, 19:38
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] New post 27 Jun 2011, 19:39
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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.
Re: Quant Question GMATPRep   [#permalink] 27 Jun 2011, 19:39
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