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# The average of a set of six positive numbers is 30.

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The average of a set of six positive numbers is 30. [#permalink]  17 Sep 2018, 20:30
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56% (00:49) correct 43% (00:56) wrong based on 16 sessions
The average of a set of six positive numbers is 30.

 Quantity A Quantity B The average of the numbers inthe set after replacing thesmallest number in the setwith 0 The average of the remainingnumbers in the set afterremoving the smallest numberfrom the set

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: The average of a set of six positive numbers is 30. [#permalink]  17 Sep 2018, 23:34
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Carcass wrote:
The average of a set of six positive numbers is 30.

 Quantity A Quantity B The average of the numbers inthe set after replacing thesmallest number in the setwith 0 The average of the remainingnumbers in the set afterremoving the smallest numberfrom the set

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.

Now in a set of 6 numbers if the lowest number is replaced by zero than the average of these numbers will be less than the original value.

Now in QTY B if we remove the lowest number then the average of these 5 nos. will always be greater than QTY A

in other words $$\frac{X}{6} < \frac{X}{5}$$ (x = total number which will remain same in both cases)
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Re: The average of a set of six positive numbers is 30.   [#permalink] 17 Sep 2018, 23:34
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