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Four people have an average (arithmetic mean) age of 18, and

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Four people have an average (arithmetic mean) age of 18, and [#permalink] New post 30 Aug 2018, 07:30
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52% (00:44) correct 47% (00:23) wrong based on 44 sessions
Four people have an average (arithmetic mean) age of 18, and none of the people are older than 30.

Quantity A
Quantity B
The range of the four people’s ages
\(25\)


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: Four people have an average (arithmetic mean) age of 18, and [#permalink] New post 03 Sep 2018, 05:21
I think ans is B
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Re: Four people have an average (arithmetic mean) age of 18, and [#permalink] New post 03 Sep 2018, 15:45
D

Since there's an upper limit of 30, the range is determined by the lowest age possible. We get this case when 2 people are 30, then the other 2 people have a combined age of 12. In the most extreme case, the lowest age is then 1, and then the range is 29, greater than 25, but in another extreme case, the other 2 people are both 6 so the range is 30-6=24 which is less than 25. So cannot be determined
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Re: Four people have an average (arithmetic mean) age of 18, and [#permalink] New post 04 Sep 2018, 18:38
D. It cannot be determined from the information given. We can't calculate the range of the four people's ages. Eliminate A. Range can be equal to 25 if one person's age is 1 and second's 26. It can be greater than 25 if the second person's age is 27. Eliminate B and C.
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Re: Four people have an average (arithmetic mean) age of 18, and [#permalink] New post 05 Sep 2018, 01:35
the average of ages of four people is 18, meaning the sum of the ages is 72.

Case 1 - max age = 30 min age = 1 => range is 29 which is greater than 25
Case 2 - consider the following ages: 15,15,21,21 => the range is only 6 which is less than 25

Hence there is no clear way we can identify which one is bigger. So answer is D
Re: Four people have an average (arithmetic mean) age of 18, and   [#permalink] 05 Sep 2018, 01:35
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