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# M03-21

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Math Expert
Joined: 02 Sep 2009
Posts: 46305

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16 Sep 2014, 00:20
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:01) correct 18% (00:39) wrong based on 22 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. $$\frac{25}{4}$$

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Math Expert
Joined: 02 Sep 2009
Posts: 46305

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16 Sep 2014, 00:20
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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Intern
Joined: 15 Aug 2017
Posts: 15

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08 Sep 2017, 14:02
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".
Senior Manager
Joined: 29 Jun 2017
Posts: 499
GPA: 4
WE: Engineering (Transportation)

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08 Sep 2017, 14:40
X/5 =x-5
4x/5 =5
X= 25/4
Option E

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Senior Manager
Joined: 28 May 2017
Posts: 293
Concentration: Finance, General Management

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20 Sep 2017, 21:37
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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Status: Turning my handicaps into assets
Joined: 09 Apr 2017
Posts: 120

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17 Feb 2018, 07:24
I think, wording of this question is a bit ambiguous.
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Intern
Joined: 02 Jun 2015
Posts: 17
Location: United States

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02 Jun 2018, 11:58
The verbiage is very tricky!!!

What number between 1 and 10 yields.....all the numbers in the answer choices are between 1 and 10, the GMAT put that type of language so we can waist our time reading it.

The question is actually asking what number "X" gives us the same result when "X" is divided by 5 and when "X" is subtracted by 5.

Setting up the equation, it should be:

x/5 = x-5

multiply both sides by 5

x = 5x - 25

manipulate putting the x altogether

25 = 5x - x

25 = 4x

divide both sides by 4

x= 25/4

Hope it helps!

Thanks! Alecita
Re: M03-21   [#permalink] 02 Jun 2018, 11:58
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# M03-21

Moderators: chetan2u, Bunuel

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