Aug 20 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Aug 20 09:00 PM PDT  10:00 PM PDT Take 20% off the plan of your choice, now through midnight on Tuesday, 8/20 Aug 22 09:00 PM PDT  10:00 PM PDT What you'll gain: Strategies and techniques for approaching featured GMAT topics, and much more. Thursday, August 22nd at 9 PM EDT Aug 24 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Aug 25 09:00 AM PDT  12:00 PM PDT Join a FREE 1day verbal workshop and learn how to ace the Verbal section with the best tips and strategies. Limited for the first 99 registrants. Register today! Aug 25 08:00 PM PDT  11:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 13 May 2014
Posts: 33
Concentration: General Management, Strategy

If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
Updated on: 13 May 2017, 05:56
Question Stats:
71% (02:48) correct 29% (02:46) wrong based on 359 sessions
HideShow timer Statistics
If \(\frac{a}{b} = \frac{1}{3}\), \(\frac{b}{c} = 2\), \(\frac{c}{d} = \frac{1}{2}\), \(\frac{d}{e} = 3\) and \(\frac{e}{f} = \frac{1}{4}\), then what is the value of \(\frac{abc}{def}\) ? (A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by gmatacequants on 23 May 2014, 12:38.
Last edited by Bunuel on 13 May 2017, 05:56, edited 2 times in total.
Edited the question and added the OA.




Math Expert
Joined: 02 Sep 2009
Posts: 57095

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
23 May 2014, 12:48
gmatacequants wrote: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def ?
(A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4 Say a = 2. Then: a/b = 1/3 > b = 6; b/c = 2 > c = 3; c/d = 1/2 > d = 6; d/e = 3 > e = 2; e/f = 1/4 > f = 8. abc/def = (2*6*3)/(6*2*8) = 3/8. Answer: D.
_________________




Intern
Joined: 13 May 2014
Posts: 33
Concentration: General Management, Strategy

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
24 May 2014, 01:36
gmatacequants wrote: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def ?
(A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4 Solving the equation: As a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4 then, a/b*b/c*c/d = \frac{a}{d} = (1/3)*2*(1/2) = 1/3 b/c*c/d*d/e = \frac{b}{e}= 2*(1/2)*3 = 3 c/d*d/e*e/f = \frac{c}{f} = (1/2)*3*(1/4) = 3/8 (a/d)*(b/e)*(c/f) = a*b*c/(d*e*f )= (1/3)*3*(3/8) = 3/8 Hence Kudo me if you are getting help from my posts " Kudos is the best form of appreciation "Try the following problem : 10straightlinesnotwoofwhichareparallelandnothree171525.html



Manager
Joined: 20 Dec 2013
Posts: 118

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
24 May 2014, 06:05
gmatacequants wrote: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def ?
(A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4 Let us say that a = 4 then b = 12, c = 6, d = 12, e = 4, f = 16 then abc = (4)(12)(6) and def = (12) (4) (16) (abc)/(def) = 6/16 = 3/8
_________________
76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views
Perfect Scores http://perfectscores.org http://www.youtube.com/perfectscores



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1785
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
17 Jul 2014, 00:16
\(\frac{a}{b} = \frac{1}{3}, \frac{b}{c} = 2, \frac{c}{d} = \frac{1}{2}, \frac{d}{e} = 3 and \frac{e}{f} = \frac{1}{4}\) Multiple all with each other: \(\frac{abcde}{bcdef} = \frac{1*2*3*1}{3*2*4}\) \(\frac{a}{f} = \frac{1}{4}\) ............ (1) \(\frac{b}{c} * \frac{c}{d} = 2*\frac{1}{2}\) \(\frac{b}{d} = 2\) .......... (2) \(\frac{c}{d} * \frac{d}{e} = \frac{1}{2} * 3\) \(\frac{c}{e} = \frac{3}{2}\) .............. (3) Mulitply (1) (2) & (3) \(\frac{abc}{def} = \frac{1}{4} * 2 * \frac{3}{2} = \frac{3}{8}\) Answer = D
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 24 Jan 2016
Posts: 18

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
14 Nov 2016, 09:36
Answer:D Best thing to do is to pick up a number. If not we can minimize abc/def to be fraction of just 2 variables. 1 Starting with def. We know that d=3e and f=4e ⇒ def=12e^3 2 As long as the denominator is formed of e, we need d in the numerator as long as d/e=3 is a constant. For abc, we have c=d/2, b=2c=d, a=b/3=d/3 ⇒ abc=(d^3)/6. Finally, abc/def= ((d^3)/6) / 12e^3 = (d/e)^3 x (1/(6x12)) = 3^3/6x12 = 3/8



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4571
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
14 Nov 2016, 10:02
gmatacequants wrote: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def ?
(A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4 Attachment:
Capture.PNG [ 4.08 KiB  Viewed 19206 times ]
So, \(\frac{abc}{def} = \frac{2*6*3}{6*2*8} = \frac{3}{8}\) Hence, answer will be (D) \(\frac{3}{8}\)
_________________



CEO
Joined: 12 Sep 2015
Posts: 3910
Location: Canada

If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
10 Jan 2018, 09:23
gmatacequants wrote: If \(\frac{a}{b} = \frac{1}{3}\), \(\frac{b}{c} = 2\), \(\frac{c}{d} = \frac{1}{2}\), \(\frac{d}{e} = 3\) and \(\frac{e}{f} = \frac{1}{4}\), then what is the value of \(\frac{abc}{def}\) ?
(A) 27/4 (B) 27/8 (C) 3/4 (D) 3/8 (E) 1/4 Assign some values to the given variables. Given: a/b = 1/3 Let a = 2 and b = 6 Given: b/c = 2 Since b = 6, it must be the case that c = 3 Given: c/d = 1/2 Since c = 3 , it must be the case that d = 6 Given: d/e=3 Since d = 6 , it must be the case that e = 2 Given: e/f = 1/4 Since e = 2 , it must be the case that f = 8 So, abc/def = ( 2)( 6)( 3)/( 6)( 2)( 8) = 36/96 = 3/8 Answer: A
_________________
Test confidently with gmatprepnow.com



Manager
Joined: 14 Jun 2016
Posts: 68
Location: India
WE: Engineering (Manufacturing)

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
21 Sep 2018, 12:46
PareshGmat wrote: \(\frac{a}{b} = \frac{1}{3}, \frac{b}{c} = 2, \frac{c}{d} = \frac{1}{2}, \frac{d}{e} = 3 and \frac{e}{f} = \frac{1}{4}\)
Multiple all with each other:
\(\frac{abcde}{bcdef} = \frac{1*2*3*1}{3*2*4}\)
\(\frac{a}{f} = \frac{1}{4}\) ............ (1)
\(\frac{b}{c} * \frac{c}{d} = 2*\frac{1}{2}\)
\(\frac{b}{d} = 2\) .......... (2)
\(\frac{c}{d} * \frac{d}{e} = \frac{1}{2} * 3\)
\(\frac{c}{e} = \frac{3}{2}\) .............. (3)
Mulitply (1) (2) & (3)
\(\frac{abc}{def} = \frac{1}{4} * 2 * \frac{3}{2} = \frac{3}{8}\)
Answer = D This is the best approach to solve the problem in minimum time. Plugging in different values takes lot of time...Thanks for the short cut method...
_________________
Please help me with Kudos dear friendsneed few more to reach the next level. Thanks.



Intern
Joined: 24 Aug 2017
Posts: 4
GPA: 3.14

Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
Show Tags
18 Feb 2019, 07:08
I actually got the question wrong because I wasn't that focused, then this is what i found: So the question asks about the value of abc/def and a/b=1/3, b/c=2, c/d = 1/2, d/e=3 and last e/f=1/4 based on that , a=1 ,d=2 , b=3, e=1, c=1 and f=4 =(1*3*1)/(2*1*4)= 3/8
See ya




Re: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the
[#permalink]
18 Feb 2019, 07:08






