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Select 5 numbers from the nine numbers, namely 1~9

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lazyashell
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Select 5 numbers from the nine numbers, namely 1~9 [#permalink] New post   31 Jul 2020, 21:26
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24% (01:27) correct 76% (01:54) wrong based on 25 sessions

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Select 5 numbers from the nine numbers, namely 1~9 (inclusive), to sum up

Quantity A
Quantity B
The number of possible ways that the sum of these five numbers is 22
The number of possible ways that the sum of these five numbers is 28


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.
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C
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stinkydiver
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Re: Select 5 numbers from the nine numbers, namely 1~9 [#permalink] New post   04 Aug 2020, 18:46
Would love to see this done algebraically instead of just thinking through the possible combos!
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Farina
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Re: Select 5 numbers from the nine numbers, namely 1~9 [#permalink] New post   05 Aug 2020, 01:52
Any easy solution?
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Re: Select 5 numbers from the nine numbers, namely 1~9 [#permalink] New post   05 Aug 2020, 05:34
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lazyashell wrote:
Select 5 numbers from the nine numbers, namely 1~9 (inclusive), to sum up

Quantity A
Quantity B
The number of possible ways that the sum of these five numbers is 22
The number of possible ways that the sum of these five numbers is 28


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.


In my opinion, this question is beyond the scope of the GRE.
Unless I'm missing an alternative solution, this question requires us to know something about "expected values," which is not tested on the GRE

It goes a little something like this:
The average value of 1,2,3,4,5,6,7,8 and 9 is 5.
So, if we select 5 of those numbers, the EXPECTED SUM = (5)(5) = 25

That is, the most likely SUM will be 25
Since 22 and 28 are equal distances from 25, the sums of 22 and 28 are equally likely


Answer: C

Cheers,
Brent
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Re: Select 5 numbers from the nine numbers, namely 1~9 [#permalink] New post   12 Oct 2021, 06:59
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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