It is currently 11 Dec 2017, 04:38

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42539

Kudos [?]: 135204 [0], given: 12673

If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a? [#permalink]

Show Tags

New post 12 Oct 2017, 03:40
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:52) correct 29% (00:45) wrong based on 41 sessions

HideShow timer Statistics

Kudos [?]: 135204 [0], given: 12673

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42539

Kudos [?]: 135204 [0], given: 12673

Re: If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a? [#permalink]

Show Tags

New post 12 Oct 2017, 03:46
Bunuel wrote:
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3



\(\frac{1}{2}*b = c\), thus \(b = 2c\);
\(a = 2b = 4c\).
\(4c = 3d\), thus \(d = \frac{4c}{3}\).

\(\frac{d}{a}=\frac{\frac{4c}{3}}{4c}=\frac{4c}{3}*\frac{1}{4c}=\frac{1}{3}\).

Answer: A.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135204 [0], given: 12673

VP
VP
avatar
P
Joined: 26 Mar 2013
Posts: 1288

Kudos [?]: 302 [0], given: 166

Reviews Badge CAT Tests
Re: If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a? [#permalink]

Show Tags

New post 12 Oct 2017, 04:06
Bunuel wrote:
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3


Let b=6.......then a =12, c=3, d=4

\(\frac{d}{a} =\frac{4}{12}= \frac{1}{3}\)

Answer: A

Kudos [?]: 302 [0], given: 166

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1105

Kudos [?]: 394 [0], given: 640

If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a? [#permalink]

Show Tags

New post 12 Oct 2017, 09:21
Bunuel wrote:
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3

a is the greatest of three:
a = 2b, b = 2c, so a > c

d's relation to a is not evident in an instant, so I picked a larger multiple of the coefficients 2, 3, and 4

Let a = 36
a = 2b
36 = 2b
b = 18

1/2 * b = c
b = 2c
18 = 2c
c = 9

4c = 3d
36 = 3d
d = 12

Ratio of d to a

\(\frac{12}{36} =\frac{1}{3} = (1:3)\)

Answer A

Kudos [?]: 394 [0], given: 640

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1771

Kudos [?]: 971 [0], given: 5

Re: If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a? [#permalink]

Show Tags

New post 16 Oct 2017, 16:47
Bunuel wrote:
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3


We can multiply the equation 1/2*b = c by 4 and we have:

2b = 4c

Since a = 2b:

a = 4c

Since 4c = 3d:

3d = a

So, d/a = 1/3

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 971 [0], given: 5

Re: If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?   [#permalink] 16 Oct 2017, 16:47
Display posts from previous: Sort by

If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.