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TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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The positive difference between the greatest and least value [#permalink]
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Expert's post 00:00

Question Stats: 44% (01:01) correct 55% (01:50) wrong based on 27 sessions
$$\frac{6n}{15}, 0.3n, \frac{19n}{50}, \frac{n}{4}$$

 Quantity A Quantity B The positive difference between the greatest and least values above Three times the positive difference between the two least values above

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Drill 2
Question: 10
Page: 316
[Reveal] Spoiler: OA

_________________

Sandy
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Try our free Online GRE Test GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895  , given: 397

Re: The positive difference between the greatest and least value [#permalink]
1
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Expert's post
Explanation

The first thing you need to do is to clean up these expressions. You have 15th, 50th, and decimals, so it is very difficult to compare values.

$$\frac{6n}{15}$$ can be reduced to $$\frac{2n}{5}$$.
$$0.3n$$ is the same as $$\frac{3n}{10}$$.

Change your first expression from $$\frac{2n}{5}$$ to $$\frac{4n}{10}$$.

$$\frac{19n}{50}$$ is pretty close to $$\frac{20n}{50}$$ or $$\frac{2n}{5}$$, the first expression, but a bit smaller.

Because $$\frac{n}{4}$$ is clearly the smallest expression and you need only concern yourself with the smallest, the second smallest, and the biggest, you can ignore $$\frac{19n}{50}$$.

Convert$$\frac{n}{4}$$ to $$\frac{5n}{20}$$, and convert your other expressions to 20ths as well.

You now have $$\frac{8n}{15}$$, $$\frac{6n}{20}$$ and $$\frac{5n}{20}$$.

The difference between the smallest and largest is $$\frac{3n}{20}$$. Three times the difference between the two smallest is also 3.

_________________

Sandy
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Manager Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 30 , given: 4

Re: The positive difference between the greatest and least value [#permalink]
sandy wrote:
Explanation

The first thing you need to do is to clean up these expressions. You have 15th, 50th, and decimals, so it is very difficult to compare values.

$$\frac{6n}{15}$$ can be reduced to $$\frac{2n}{5}$$.
$$0.3n$$ is the same as $$\frac{3n}{10}$$.

Change your first expression from $$\frac{2n}{5}$$ to $$\frac{4n}{10}$$.

$$\frac{19n}{50}$$ is pretty close to $$\frac{20n}{50}$$ or $$\frac{2n}{5}$$, the first expression, but a bit smaller.

Because $$\frac{n}{4}$$ is clearly the smallest expression and you need only concern yourself with the smallest, the second smallest, and the biggest, you can ignore $$\frac{19n}{50}$$.

Convert$$\frac{n}{4}$$ to $$\frac{5n}{20}$$, and convert your other expressions to 20ths as well.

You now have $$\frac{8n}{15}$$, $$\frac{6n}{20}$$ and $$\frac{5n}{20}$$.

The difference between the smallest and largest is $$\frac{3n}{20}$$. Three times the difference between the two smallest is also 3.

I am confused that what if n=0 or -1? Manager Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 30  , given: 4

Re: The positive difference between the greatest and least value [#permalink]
1
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sandy wrote:
Explanation

The first thing you need to do is to clean up these expressions. You have 15th, 50th, and decimals, so it is very difficult to compare values.

$$\frac{6n}{15}$$ can be reduced to $$\frac{2n}{5}$$.
$$0.3n$$ is the same as $$\frac{3n}{10}$$.

Change your first expression from $$\frac{2n}{5}$$ to $$\frac{4n}{10}$$.

$$\frac{19n}{50}$$ is pretty close to $$\frac{20n}{50}$$ or $$\frac{2n}{5}$$, the first expression, but a bit smaller.

Because $$\frac{n}{4}$$ is clearly the smallest expression and you need only concern yourself with the smallest, the second smallest, and the biggest, you can ignore $$\frac{19n}{50}$$.

Convert$$\frac{n}{4}$$ to $$\frac{5n}{20}$$, and convert your other expressions to 20ths as well.

You now have $$\frac{8n}{15}$$, $$\frac{6n}{20}$$ and $$\frac{5n}{20}$$.

The difference between the smallest and largest is $$\frac{3n}{20}$$. Three times the difference between the two smallest is also 3.

The value of n is not specifically indicated. Manager Joined: 22 Feb 2018
Posts: 163
Followers: 2

Kudos [?]: 114  , given: 22

Re: The positive difference between the greatest and least value [#permalink]
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6n/15 , 3/10n , 19n/50. , n/4
Their order sequence is: n/4, 3n/10, 19n/50, 6n/15

The positive difference between the greatest and least values above:
The smallest number above is n/4 and biggest is 6n/15 and difference between them is 6n/15 - n/4 = 9n/60 = 3n/20

Three times the positive difference between the two least values above:
3 * (3n/10 - n/4) = 3 * n/20 = 3n/20

Both are the same and answer is C.

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Manager Joined: 29 Nov 2017
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Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
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Kudos [?]: 79 , given: 99

Re: The positive difference between the greatest and least value [#permalink]
I got the answer by assuming n = 1 which made the over all computation to be easy.

Please correct my supposition If I am wrong. Director  Joined: 07 Jan 2018
Posts: 644
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Kudos [?]: 601  , given: 88

Re: The positive difference between the greatest and least value [#permalink]
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For negative values of n the ans is not c
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes Manager Joined: 27 Feb 2017
Posts: 189
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Kudos [?]: 53  , given: 15

Re: The positive difference between the greatest and least value [#permalink]
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I was more comfortable doing it by converting them all into decimals. But, I think others do raise a valid point of n being negative. DIdn't think of it Re: The positive difference between the greatest and least value   [#permalink] 07 Jun 2018, 20:48
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