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For the positive integers a, b, c, and d, a is half of b, wh

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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)
Followers: 93

Kudos [?]: 1652 [0], given: 396

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For the positive integers a, b, c, and d, a is half of b, wh [#permalink] New post 23 Jun 2018, 12:24
Expert's post
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Question Stats:

44% (01:11) correct 55% (02:45) wrong based on 27 sessions
For the positive integers a, b, c, and d, a is half of b, which is one-third of c. The value of d is three times the value of c.

Quantity A
Quantity B
\(\frac{a+b}{c}\)
\(\frac{a+b+c}{d}\)


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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1 KUDOS received
Director
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Joined: 20 Apr 2016
Posts: 756
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Kudos [?]: 511 [1] , given: 94

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Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink] New post 23 Jun 2018, 12:37
1
This post received
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sandy wrote:
For the positive integers a, b, c, and d, a is half of b, which is one-third of c. The value of d is three times the value of c.

Quantity A
Quantity B
\(\frac{a+b}{c}\)
\(\frac{a+b+c}{d}\)


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.


As per the statement
Let b= 4 so that a= 2 , c = 12 and d=36

Therefore for statement 1 we have=

\(\frac{6}{12} = \frac{1}{2}\)

For statement 2 we have

\(\frac{18}{36} = \frac{1}{2}\)

So option C
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink] New post 18 Jul 2018, 07:07
Expert's post
Explanation

The following relationships are given: \(a =\frac{b}{2}\), \(b = \frac{c}{3}\) , and d = 3c. Pick one variable and put everything in terms of that variable. For instance, variable a:
b = 2a
c = 3b = 3(2a) = 6a
d = 3c = 3(6a) = 18a

Substitute into the quantities and simplify.

Quantity A: \(\frac{a+b}{c}=\frac{a+2a}{6a}=\frac{1}{2}\)

Quantity B: \(\frac{a+b+c}{d}=\frac{a+2a+6a}{18a}=\frac{1}{2}\).

The two quantities are equal.
_________________

Sandy
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Re: For the positive integers a, b, c, and d, a is half of b, wh   [#permalink] 18 Jul 2018, 07:07
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For the positive integers a, b, c, and d, a is half of b, wh

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