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The positive difference between the greatest and least value [#permalink]
28 Dec 2016, 15:12
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Question Stats:
52% (01:28) correct
47% (01:45) wrong based on 46 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
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Re: The positive difference between the greatest and least value [#permalink]
28 Dec 2016, 15:33
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ExplanationThe 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 answer is choice C.
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Re: The positive difference between the greatest and least value [#permalink]
27 Mar 2018, 23:13
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 answer is choice C. I am confused that what if n=0 or 1?



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Re: The positive difference between the greatest and least value [#permalink]
27 Mar 2018, 23:14
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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 answer is choice C. The value of n is not specifically indicated.



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Re: The positive difference between the greatest and least value [#permalink]
28 Mar 2018, 10:47
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Answer: C 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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Re: The positive difference between the greatest and least value [#permalink]
20 May 2018, 01:29
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.



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Re: The positive difference between the greatest and least value [#permalink]
06 Jun 2018, 03:47
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For negative values of n the ans is not c
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Re: The positive difference between the greatest and least value [#permalink]
07 Jun 2018, 20:48
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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
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07 Jun 2018, 20:48





