GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 11 Nov 2019, 18:25

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

If a = (1/4)b and c = 7a, then which of the following

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 475
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
If a = (1/4)b and c = 7a, then which of the following  [#permalink]

Show Tags

New post 21 Nov 2013, 18:17
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:09) correct 10% (01:43) wrong based on 82 sessions

HideShow timer Statistics

If a = (1/4)b and c = 7a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?

(A) a + 4
(B) (11/3)a
(C) 4a
(D) (4 1/7)a
(E) (7 1/4)a


OE to follow
Image
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58954
Re: If a = (1/4)b and c = 7a, then which of the following  [#permalink]

Show Tags

New post 22 Nov 2013, 01:22
Senior Manager
Senior Manager
User avatar
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 475
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: If a = (1/4)b and c = 7a, then which of the following  [#permalink]

Show Tags

New post 25 Nov 2013, 10:48
Official Explanation

Answer: C
The average of the three variables is (a + b + c)/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.

We're told that a = (1/4)b, which is equivalent to b = 4a. We can plug that in and simplify the average to: (a + 4a + c)/3

We also know that c = 7a, which we can plug directly into the average expression:

(a + 4a + 7a)/3

= 12a/3 = 4a, choice (C).
GMAT Club Bot
Re: If a = (1/4)b and c = 7a, then which of the following   [#permalink] 25 Nov 2013, 10:48
Display posts from previous: Sort by

If a = (1/4)b and c = 7a, then which of the following

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





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