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# M03-21

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Math Expert
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139395 [0], given: 12789

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15 Sep 2014, 23:20
Expert's post
2
This post was
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Difficulty:

25% (medium)

Question Stats:

85% (00:51) correct 15% (00:18) wrong based on 20 sessions

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What number between 1 and 10 yields the same result when divided by 5 and when reduced by 5?

A. $$\frac{5}{4}$$
B. 5.125
C. $$\frac{16}{5}$$
D. $$\frac{20}{3}$$
E. $$\frac{25}{4}$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139395 [0], given: 12789

Math Expert
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139395 [0], given: 12789

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15 Sep 2014, 23:20
Official Solution:

What number between 1 and 10 yields the same result when divided by 5 and when reduced by 5?

A. $$\frac{5}{4}$$
B. 5.125
C. $$\frac{16}{5}$$
D. $$\frac{20}{3}$$
E. $$\frac{25}{4}$$

If $$x$$ is the unknown, then construct the following equation:
$$\frac{x}{5} = x-5$$
$$\frac{x}{5}*5 = (x-5)*5$$
$$x = 5x-25$$
$$4x = 25$$
$$x = \frac{25}{4}$$

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Kudos [?]: 139395 [0], given: 12789

Intern
Joined: 15 Aug 2017
Posts: 16

Kudos [?]: 1 [0], given: 15

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08 Sep 2017, 13:02
Bunuel wrote:
What number between 1 and 10 yields the same result when divided by 5 and when reduced by 5?

A. $$\frac{5}{4}$$
B. 5.125
C. $$\frac{16}{5}$$
D. $$\frac{20}{3}$$
E. $$\frac{25}{4}$$

Bunnel, I believe this question needs to be edited for clarity. Reduced by 5 is another way of saying divided by 5. This wording is not clear. "... when divided by 5 and when subtracted by 5".

Kudos [?]: 1 [0], given: 15

Senior Manager
Joined: 29 Jun 2017
Posts: 439

Kudos [?]: 89 [0], given: 73

GPA: 4
WE: Engineering (Transportation)

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08 Sep 2017, 13:40
X/5 =x-5
4x/5 =5
X= 25/4
Option E

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Give Kudos for correct answer and/or if you like the solution.

Kudos [?]: 89 [0], given: 73

Senior Manager
Joined: 28 May 2017
Posts: 296

Kudos [?]: 176 [0], given: 12

Concentration: Finance, General Management

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20 Sep 2017, 20:37
victor123897 wrote:
Bunuel wrote:
What number between 1 and 10 yields the same result when divided by 5 and when reduced by 5?

A. $$\frac{5}{4}$$
B. 5.125
C. $$\frac{16}{5}$$
D. $$\frac{20}{3}$$
E. $$\frac{25}{4}$$

Bunnel, I believe this question needs to be edited for clarity. Reduced by 5 is another way of saying divided by 5. This wording is not clear. "... when divided by 5 and when subtracted by 5".

Dear Victor,
I guess question is perfectly ok. I

Reduced by 5 is another way of saying divided by 5

Reducing a number by 5 is DIFFERENT FROM dividing a number by 5.
Lets take an example....
Let's assume the number is x
Is X- 5 equals X/5 ?????

Question is such unique value of X so that
X-5 = X/5.

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Re: M03-21   [#permalink] 20 Sep 2017, 20:37
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# M03-21

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