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# What number when multiplied by 4/7 yields 6/7 as the result?

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Math Expert
Joined: 02 Sep 2009
Posts: 61549
What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 01:21
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96% (00:36) correct 4% (01:15) wrong based on 619 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

Problem Solving
Question: 53
Category: Arithmetic Operations on radical expressions
Page: 68
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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Schools: Goizueta '19 (I)
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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 05:57
1
x.4/7=6/7
x=3/2

Manager
Joined: 20 Dec 2013
Posts: 220
Location: India
Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 08:10
1
Going by options.
4/7*3/2=6/7
Ans.C

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Joined: 27 Dec 2013
Posts: 31
Concentration: Finance, General Management
Schools: ISB '15
Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 22:42
1
Let the number be x.

Therefore, 4/7 * x = 6/7

x = 6/7 * 7/4
x = 3/2

Math Expert
Joined: 02 Sep 2009
Posts: 61549
Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 01:21
SOLUTION

What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

$$\frac{4}{7}*x=\frac{6}{7}$$ --> $$x=\frac{6}{7}*\frac{7}{4}=\frac{6}{4}=\frac{3}{2}$$.

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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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22 Jan 2014, 19:58
Let the multiplier be x.

(4/7) * x = 6/7
x = (6*7)/(4*7)
x = 6/4
x = 3/2

Ans is (C)
Director
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Posts: 953
Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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23 Jan 2014, 05:55
Bunuel wrote:
What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

let the number be X

4/7 * X=6/7
X=(6*7)/(7*4)=6/4=3/2

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- Stne
Math Expert
Joined: 02 Sep 2009
Posts: 61549
Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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25 Jan 2014, 11:18
SOLUTION

What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

$$\frac{4}{7}*x=\frac{6}{7}$$ --> $$x=\frac{6}{7}*\frac{7}{4}=\frac{6}{4}=\frac{3}{2}$$.

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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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21 Dec 2015, 08:07
The denominator remains same. We got to make 6 from 4. So multiply by 3/2.
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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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31 Aug 2016, 06:28
you can focus on 4*x=6 and ignore the denominator 7. x=6/4 which 1.5 which is equal to C: 3/2
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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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16 Sep 2019, 06:42
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

Problem Solving
Question: 53
Category: Arithmetic Operations on radical expressions
Page: 68
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

What number when multiplied by 4/7 yields 6/7 as the result?

4/7 * x = 6/7
x = 6/7 * 7/4 = 6/4 = 3/2

IMO C
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Re: What number when multiplied by 4/7 yields 6/7 as the result?  [#permalink]

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16 Sep 2019, 07:15
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What number when multiplied by 4/7 yields 6/7 as the result?

(A) 2/7
(B) 3/3
(C) 3/2
(E) 7/2

Problem Solving
Question: 53
Category: Arithmetic Operations on radical expressions
Page: 68
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

$$\frac{6}{7}/\frac{4}{7}$$

= $$\frac{6}{7}*\frac{7}{4}$$

= $$\frac{6}{4}$$

= $$\frac{3}{2}$$ , Answer must be (C)
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Re: What number when multiplied by 4/7 yields 6/7 as the result?   [#permalink] 16 Sep 2019, 07:15
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