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

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The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post Updated on: 17 Jun 2017, 14:03
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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. \(\frac{27}{4}\)

Originally posted by AbdurRakib on 17 Jun 2017, 11:10.
Last edited by Bunuel on 17 Jun 2017, 14:03, edited 2 times in total.
Renamed the topic and edited the question.
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 17 Jun 2017, 11:16
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AbdurRakib wrote:
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. \(\frac{27}{4}\)


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)...
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 17 Jun 2017, 11:19
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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)
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 17 Jun 2017, 23:50
AbdurRakib wrote:
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. \(\frac{27}{4}\)


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

Hence, answer will be (C) 3
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 07 Aug 2017, 10:47
AbdurRakib wrote:
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. \(\frac{27}{4}\)


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
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The quotient when a certain number is divided by  [#permalink]

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New post 09 Oct 2017, 19:57
LakerFan24 wrote:
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. \(\frac{27}{4}\)

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

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

Answer C
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 12 Oct 2017, 18:08
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AbdurRakib wrote:
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. \(\frac{27}{4}\)


n/(2/3) = 9/2

3n/2 = 9/2

6n = 18

n = 3

Answer: C
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 12 May 2019, 01:45
AbdurRakib wrote:
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. \(\frac{27}{4}\)

Let,
the number is x

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

Answer is C

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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is  [#permalink]

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New post 23 Jun 2019, 06:42
AbdurRakib wrote:
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. \(\frac{27}{4}\)


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.
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Re: The quotient when a certain number is divided by 2/3 is 9/2. What is   [#permalink] 23 Jun 2019, 06:42
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