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calculate the value of m

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1657 [0], given: 396

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calculate the value of m [#permalink] New post 25 Aug 2018, 15:03
Expert's post
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Question Stats:

87% (00:43) correct 12% (01:24) wrong based on 8 sessions
\(\frac{(10^3)(0.027)}{(900)(10^{-2})}=(3)(10^m)\)

Quantity A
Quantity B
m
3


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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Re: calculate the value of m [#permalink] New post 05 Dec 2018, 13:19
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Expert's post
sandy wrote:
\(\frac{(10^3)(0.027)}{(900)(10^{-2})}=(3)(10^m)\)

Quantity A
Quantity B
m
3


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


GIVEN: \(\frac{(10^3)(0.027)}{(900)(10^{-2})}=(3)(10^m)\)

Rewrite some values: \(\frac{(10^3)(27)(10^{-3})}{(9)(100)(10^{-2})}=(3)(10^m)\)

Rewrite more values: \(\frac{(10^3)(3^3)(10^{-3})}{(3^2)(10^2)(10^{-2})}=(3)(10^m)\)

Simplify: \(\frac{(10^0)(3^3)}{(3^2)(10^0)}=(3)(10^m)\)

Simplify: \(\frac{3^3}{3^2}=(3)(10^m)\)

Simplify: \(3=(3)(10^m)\)


This tells us that \(10^m = 1\), which means m = 0

We get:
QUANTITY A: 0
QUANTITY B: 3

Answer: B

Cheers,
Bret
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: calculate the value of m   [#permalink] 05 Dec 2018, 13:19
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