700+ quistion

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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Thu Jul 08, 2010 11:26 pm

If 4^(4x)= 1600, what is the value of 4^(2x-2)?

a. 40
b. 20
c. 10
d. 5/2
e. 5/4

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Source: Beat The GMAT — Problem Solving | Thu Jul 08, 2010 11:26 pm

4GMAT_Mumbai: Master | Next Rank: 500 Posts; Posts: 161; Joined: Mon Apr 05, 2010 9:06 am; Location: Mumbai; Thanked: 37 times

by 4GMAT_Mumbai » Thu Jul 08, 2010 11:30 pm

Hi Ankrmit,

4^(2x-2) = 4^2x / 4^2

If 4^4x = 1600; 4^2x = 40.

Hence, 4^2x / 4^2 = 40 / 16. Guess it is [spoiler]5/2[/spoiler] Pls highlight if this is right / wrong.

I doubt if this question would be 700+ though ...

Last edited by 4GMAT_Mumbai on Fri Jul 09, 2010 12:02 am, edited 1 time in total.

Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai

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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Thu Jul 08, 2010 11:34 pm

Thanks Naveen..its nice explanation but you made some mistake here..check once .. ans is D

Actually I got this quistion in Manhattan test and they marked it as 700+ quistion

and I could not solve it so for me it was definitely a 700+ quistion..

Last edited by ankurmit on Thu Jul 08, 2010 11:44 pm, edited 1 time in total.

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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Thu Jul 08, 2010 11:39 pm

I could not post explanation from Manhattan here but they messed everything and they proved it a 800+ quistion

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Thu Jul 08, 2010 11:40 pm

4^(4x)= 1600 implies {4^(2x)}^2= 1600 or 4^(2x) = 40
4^(2x-2) = (4^2x)(4^-2) = 40/16 = 5/2
[spoiler]The correct answer is (D).[/spoiler]

Rahul Lakhani
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Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
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ankurmit: Legendary Member; Posts: 516; Joined: Mon Nov 02, 2009 6:42 amFollowed by: 1 member; Location: Mumbai; Thanked: 14 times; GMAT Score:710

by ankurmit » Thu Jul 08, 2010 11:45 pm

Thanks Rahul..You are right..

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