OG Quotient divided

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 394
Joined: Sun Jul 02, 2017 10:59 am
Thanked: 1 times
Followed by:5 members

OG Quotient divided

by AbeNeedsAnswers » Wed Aug 16, 2017 6:31 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

The quotient when a certain number is divided by 2/3 is 9/2. What is the number?

A) 4/27
B) 1/3
C) 3
D) 6
E) 27/4

C

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Wed Aug 16, 2017 7:08 pm
AbeNeedsAnswers wrote:The quotient when a certain number is divided by 2/3 is 9/2. What is the number?

A) 4/27
B) 1/3
C) 3
D) 6
E) 27/4

C
Let x = the number

So, x divided by 2/3 = 9/2
In other words: x/(2/3) = 9/2
Multiply both sides by 2/3 to get: x = (9/2)(2/3) = 3

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pm
Location: East Bay all the way
Thanked: 625 times
Followed by:119 members
GMAT Score:780

by Matt@VeritasPrep » Fri Aug 18, 2017 1:59 pm
AbeNeedsAnswers wrote:The quotient when a certain number is divided by 2/3 is 9/2. What is the number?

A) 4/27
B) 1/3
C) 3
D) 6
E) 27/4

C
x / (2/3) = 9/2

(3/2) * x = 9/2

3x/2 = 9/2

3x = 9

x = 3

Very surprised this is an OG question - it feels at or below the minimum difficulty of the GMAT.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Mon Aug 21, 2017 3:24 pm
AbeNeedsAnswers wrote:The quotient when a certain number is divided by 2/3 is 9/2. What is the number?

A) 4/27
B) 1/3
C) 3
D) 6
E) 27/4

C
\

Recall that a quotient is the result of a division problem. We can create the following equation in which x = the number we're solving for:

x/(2/3) = 9/2

3x/2 = 9/2

6x = 18

x = 3

Answer: C

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Sat Feb 24, 2018 12:55 pm
Hi All,

We're told that the quotient when a certain number is divided by 2/3 is 9/2. We are asked for that the number. This question is straight-forward enough that it be solved with some basic arithmetic. With tougher versions of this concept though, it can help to know the alternative approaches. Based on the 'spread' of the answer choices, you can also get the correct answer with a little 'logic' and some Number Property knowledge.

Here are 3 Number Property rules worth knowing:
1) When dividing a positive number by 1, the result is the same (for example, 9/1 = 9)
2) When dividing a positive number by a positive that is GREATER than 1, the result is smaller (for example, 9/3 = 3)
3) When dividing a positive number by a positive that is LESS than 1, the result is BIGGER (for example, 9/(1/3) = 27)

In this question, we're dividing a number by 2/3 - so whatever the result is, that result will be BIGGER than the initial number. The result here is 9/2, so the original number MUST be LESS than 9/2 = LESS than 4.5. Since 2/3 is relatively close to 1, we're looking for an answer that is smaller than 4.5 but is not that 'far away' from 4.5. There's only one answer that matches...

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image