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

Question

The quotient when a certain number is divided by  \frac{2}{3}  is  \frac{9}{2} . What is the number?

A.  \frac{4}{27}

B.  \frac{1}{3}

C. 3

D. 6

E.  \frac{27}{4}

sashiim20 · Accepted Answer

Its not mentioned if remainder is 0 or not. Assuming Remainder is 0 when number is divided by  \frac{2}{3}  has quotient  \frac{9}{2} .

Number is in form,  x = \frac{2}{3} * \frac{9}{2} + 0

x = 3 . Answer (C)...

pushpitkc · Answer

Consider the number for which the quotient is  \frac{9}{2}  as x

Since x divided by  \frac{2}{3}  gives us the quotient  \frac{9}{2} 
x *  \frac{3}{2}  =  \frac{9}{2}

x =  \frac{9}{2} * \frac{2}{3}  = 3(Option C)

Abhishek009 · Answer

\frac{2}{3}*\frac{9}{2} = 3

Hence, answer will be (C) 3

akshayk · Answer

n * \frac{3}{2}  =  \frac{9}{2} 
=> n = 3

C is the answer.

Alternatively
N = PQ + R
N =  \frac{2}{3} * \frac{9}{2}  + R
N = 3 + R
The Question doesn't mention if the division has a remainder, so R = 0
=> N = 3

generis · Answer

If  \frac{N}{\frac{2}{3}}  = \frac{9}{2}

Then  \frac{2}{3} * \frac{9}{2}  = N = \frac{18}{6} = 3

Answer C

JeffTargetTestPrep · Answer

n/(2/3) = 9/2

3n/2 = 9/2

6n = 18

n = 3

Answer: C

shaonkarim · Answer

Let,
the number is x

x/2/3=9/2
=>x=9/2*2/3=3

Answer is C

Posted from my mobile device

LMP · Answer

X divided by 2/3 is a 9 / 2, so X times 3 / 2 is

going to be equal to 9 / 2; the 2 gets cancelled out, the 3 gets reduced.

X equals 3. That's it; correct answer choice is C.

GMATinsight · Answer

Answer: Option C

Video solution by  GMATinsight

https://www.youtube.com/watch?v=u-KPZToVSHs

100mitra · Answer

Correct Option : C : 3 
Formula :  Dividend = (Quotient * Divisor) + Remainder
 Dividend = x
Quotient = 9/2
Divisor = 2/3
Reminder = 0
x = 9/2 * 2/3 + 0
 x = 3

gagan0303 · Answer

How can we assume that remainder is zero here?

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=M3jBpyjQHGA

woohoo921 · Answer

When I was attempting to solve this problem, I took the following steps:
x/(2/3)=9/2
-->x=(9/2)*(3/2)

In other words, I multiplied by the reciprocal. To clarify, you only multiply by the reciprocal of the fraction for terms on the same side of the equal sign?

Thank you!

avigutman · Answer

woohoo921  I almost missed this - please always tag me if you want my take.
Dividing by 5 is the same thing as multiplying by 1/5, right?
And, dividing by 1/5 is the same as multiplying by 5.
By the same token, dividing by 2/3 is the same as multiplying by 3/2.
This is always true, whether you're looking at an individual expression or at one side of an equation.
It seems that you chose to simplify the equation by expanding it (multiplying both sides by the same factor). For example (replacing 2/3 with 'a'), if the equation was:
x/a=9/2
You'd multiply both sides by a and get x = (9/2)a. That's a perfectly reasonable thing to do. In our case, it would look like this:
x/(2/3)=9/2
-->x=(9/2)*(2/3)

Braintree · Answer

avigutman  - my concern is regarding the wording used in this official question - Can we use the word ‘quotient’ to refer to a fraction which cannot be expressed as an integer? Thanks.

Posted from my mobile device

avigutman · Answer

Yes. Braintree . Definition of "quotient" from https://www.merriam-webster.com: the number resulting from the division of one number by another.

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

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