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The average of three numbers if the greatest is 20

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The average of three numbers if the greatest is 20 [#permalink]  18 Sep 2018, 10:34
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Question Stats:

72% (00:27) correct 27% (00:25) wrong based on 54 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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Director
Joined: 07 Jan 2018
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Re: The average of three numbers if the greatest is 20 [#permalink]  18 Sep 2018, 21:13
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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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Re: The average of three numbers if the greatest is 20 [#permalink]  28 Apr 2019, 04:42
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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..
Director
Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 741 [1] , given: 88

Re: The average of three numbers if the greatest is 20 [#permalink]  28 Apr 2019, 05:08
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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
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Re: The average of three numbers if the greatest is 20   [#permalink] 28 Apr 2019, 05:08
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