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M03-21

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M03-21 [#permalink]

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New post 16 Sep 2014, 00:20
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  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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Re M03-21 [#permalink]

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New post 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:
\(\frac{x}{5} = x-5\)
\(\frac{x}{5}*5 = (x-5)*5\)
\(x = 5x-25\)
\(4x = 25\)
\(x = \frac{25}{4}\)


Answer: E
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M03-21 [#permalink]

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New post 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".
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Re: M03-21 [#permalink]

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


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Re: M03-21 [#permalink]

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New post 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 ?????
I guess your answer would be a big NO.

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

Hope your doubt is clear.
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Re: M03-21 [#permalink]

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New post 17 Feb 2018, 07:24
I think, wording of this question is a bit ambiguous.
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Re: M03-21 [#permalink]

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New post 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

Answer E

Hope it helps!

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