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The average of three numbers if the greatest is 20 [#permalink]
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Expert's post 00:00

Question Stats: 76% (00:32) correct 23% (00:25) wrong based on 63 sessions

 Quantity A Quantity B The average of three numbers ifthe greatest is 20 The average of three numbers ifthe greatest is 2

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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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Active Member  Joined: 07 Jan 2018
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Re: The average of three numbers if the greatest is 20 [#permalink]
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Three numbers such that greatest is 20 could be something like 20,19,18 or it can also be 20, -100, -200.
In the first case the average is a +ve number while in the second case the average is a -ve number.

For qty B let us take 0,1,2 as a set of 3 numbers the avg will be $$\frac{3}{3} = 1$$
Therefore since Qty A can be a number greater than Qty B or it can be a number less than Qty B
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes
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Re: The average of three numbers if the greatest is 20 [#permalink]
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Hello all,
WE have ,

Quantity A

The average of three numbers
(x1+x2+20)
-----------
3

Quantity B
The average of three numbers
(x1+x2+2)
--------
3
If I take x1=-20 and x2=0 then Qty A= 0 and Qty B is -6. Then Qty A is big.
If x1+x2= -30 then Qty A= -10/3 , Qty B= -28/3 . Here also Qty A is big.
If x1+x2=0 then Qty A= 20/3 , Qty b= 2/3. Here also Qty A is big.
So what ever values I choose for X1 and X2 , qty A is big.

My question is what ever values we are considering for x1 and x2 we need to test the same values for both the columns A and B right. We cannot consider one set of values for column A and another set of values for Column B. In the above posts, I see that different set of values are considered for each of columns A and B.

Can you please correct me if I am wrong.. Active Member  Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 772  , given: 88

Re: The average of three numbers if the greatest is 20 [#permalink]
1
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ak84 wrote:
Hello all,
WE have ,

Quantity A

The average of three numbers
(x1+x2+20)
-----------
3

Quantity B
The average of three numbers
(x1+x2+2)
--------
3
If I take x1=-20 and x2=0 then Qty A= 0 and Qty B is -6. Then Qty A is big.
If x1+x2= -30 then Qty A= -10/3 , Qty B= -28/3 . Here also Qty A is big.
If x1+x2=0 then Qty A= 20/3 , Qty b= 2/3. Here also Qty A is big.
So what ever values I choose for X1 and X2 , qty A is big.

My question is what ever values we are considering for x1 and x2 we need to test the same values for both the columns A and B right. We cannot consider one set of values for column A and another set of values for Column B. In the above posts, I see that different set of values are considered for each of columns A and B.

Can you please correct me if I am wrong..

It can be anything not necessary that the numbers should be same
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos Re: The average of three numbers if the greatest is 20   [#permalink] 28 Apr 2019, 05:08
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