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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] New post 17 Sep 2018, 20:34
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Question Stats:

35% (01:59) correct 64% (01:09) wrong based on 17 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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Re: A set has exactly five consecutive positive integers. [#permalink] New post 18 Sep 2018, 03:37
Carcass wrote:
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.



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] 18 Sep 2018, 03:37
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A set has exactly five consecutive positive integers.

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