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
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
GMAT/MBA Expert
- Brent@GMATPrepNow
- 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
Let x = the numberAbeNeedsAnswers 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
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
-
- 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
x / (2/3) = 9/2AbeNeedsAnswers 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
(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
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
\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]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
- [email protected]
- 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
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
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