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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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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

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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] 20 Sep 2017, 21:37
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