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x>2

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Carcass
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x>2 [#permalink] New post   28 Feb 2023, 09:26
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Question Stats:

64% (01:45) correct 35% (01:29) wrong based on 14 sessions

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x>2

Quantity A
Quantity B
The median of x − 4, x + 1, and 4x
The mean of x − 4, x + 1, and 4x



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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B
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Prakshi
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Re: x>2 [#permalink] New post   14 Mar 2023, 07:08
Carcass wrote:
x>2

Quantity A
Quantity B
The median of x − 4, x + 1, and 4x
The mean of x − 4, x + 1, and 4x



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.


The answer should be D and not B as when we take X=4 both quantities are equal. Let me know incase i have interpreted it wrong.
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Re: x>2 [#permalink] New post   14 Mar 2023, 10:05
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Always you should simply the stems

A = the median=\(x-4,x+1\) and \(4x=x+1
\)

B the mean\(= \frac{(x-4)+(x+1)+4x}{3}=\frac{6x-3}{3}=2x-1\)


So we do have x+1 for A and 2x-1 for B

We do know that x>2 and could be both an integer or a fraction such as 5/2

In both scenarios B is > A
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gmatclubot
Re: x>2 [#permalink]
14 Mar 2023, 10:05
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