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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # For the positive integers a, b, c, and d, a is half of b, wh  Question banks Downloads My Bookmarks Reviews Important topics
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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3034 , given: 394

For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
Expert's post 00:00

Question Stats: 31% (01:04) correct 68% (00:24) wrong based on 29 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 triple that 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

_________________

Sandy
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Intern Joined: 08 Apr 2018
Posts: 44
Followers: 0

Kudos [?]: 17 , given: 15

Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
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 triple that 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. Intern Joined: 10 Apr 2018
Posts: 17
Followers: 0

Kudos [?]: 12  , given: 28

Re: For the positive integers a, b, c, and d, a is half of b, wh [#permalink]
2
KUDOS
first, translate all the words into mathematical equations. so that will be:
2a=b
3b=c
d=3c

the next step is to substitute all the equations we've got. C is equal to 3b (c=3b), and we know that b = 2a. So we can write c= 3b= 3(2a)= 6a.
in other words, we state all the variable in terms of one variable (in my case, I chose variable a cause it's easy)
it will be like this:
b= 2a
c= 3b= 6a
d= 3c= 18a

the final step is to write the quantities (A and B) in terms of variable a and do the math. you'll see that quantity A and B are equal: both final result is 1/2

hope this helps  Re: For the positive integers a, b, c, and d, a is half of b, wh   [#permalink] 28 May 2018, 02:04
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# For the positive integers a, b, c, and d, a is half of b, wh  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.