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A set has exactly five consecutive positive integers.

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A set has exactly five consecutive positive integers. [#permalink]  17 Sep 2018, 20:34
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Question Stats:

40% (01:17) correct 60% (01:14) wrong based on 45 sessions

A set has exactly five consecutive positive integers.

 Quantity A Quantity B The percentage decrease in the average of the numbers when one of the numbers is dropped from the set 20%

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: A set has exactly five consecutive positive integers. [#permalink]  18 Sep 2018, 03:37
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A set has exactly five consecutive positive integers.

 Quantity A Quantity B The percentage decrease in theaverage of the numbers whenone of the numbers is droppedfrom the set 20%

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

Here

let's take the numbers from 1 to 5

So the average of the numbers = $$\frac{15}{5} =3$$

Now if we remove a number what will be the average? to get that we need to take the greatest number from the series

So in this case , 5 is the greatest

So average of 1 ,2 ,3 ,4 =$$\frac{10}{4}= 2.5$$

Therefore the percentage decrease = $$\frac{{3 - 2.5}}{3} * 100 = 16.66%$$, this the maximum value we can get if we remove from the set.

Hence QTY A < QTY B

*** it can be any 5 consecutive positive numbers the maximum value will be 16.66%****
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Re: A set has exactly five consecutive positive integers. [#permalink]  09 Mar 2019, 08:54
tricky wording. Only the decreases are issues .
Re: A set has exactly five consecutive positive integers.   [#permalink] 09 Mar 2019, 08:54
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