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Director  B
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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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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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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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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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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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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

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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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 =$$\frac{18}{6} = 3$$

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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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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

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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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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

Posted from my mobile device
Manager  G
Joined: 29 Jun 2018
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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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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.
_________________ 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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