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# If x+y=8z, then which of the following represents the averag

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If x+y=8z, then which of the following represents the averag [#permalink]

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08 Feb 2011, 02:40
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If x+y=8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?

(A) 2z+1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
[Reveal] Spoiler: OA
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Kudos [?]: 93659 [1] , given: 10583

If x+y=8z, then which of the following represents the averag [#permalink]

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08 Feb 2011, 03:01
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Lolaergasheva wrote:
If x+y=8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?

(A) 2z+1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

The average of x, y and z equals to (x+y+z)/3 as x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.

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Re: If x+y=8z then which of the following represents [#permalink]

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26 Jan 2013, 06:22
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Arithmetic mean of x, y and z = (x+y+z)/3
x+y = 8z so x+y+z = 8z + z = 9z.
Arithmetic mean = 9z/3 = 3z.

Please give a kudo if you like my explanation.
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If x+y=8z then which of the following represents [#permalink]

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26 Jan 2013, 06:01
If x+y=8z then which of the following represents the arithmetric mean of x,y and z interms of z?

A.2z+1 B.3z C.5z D.z/3 E.3z/2
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Kudos [?]: 93659 [0], given: 10583

Re: If x+y=8z then which of the following represents [#permalink]

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26 Jan 2013, 07:40
chiccufrazer1 wrote:
If x+y=8z then which of the following represents the arithmetric mean of x,y and z interms of z?

A.2z+1 B.3z C.5z D.z/3 E.3z/2

Merging similar topics. Refer to the solutions above.
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Re: If x+y=8z, then which of the following represents the averag [#permalink]

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23 Aug 2013, 08:19
Lolaergasheva wrote:
If x+y=8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?

(A) 2z+1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2

Pick any number like X=12, Y=4 and Z= 2 so that X+Y=8Z, now then the arithmetic mean will be (12+4+2)/3=6. Now, just look at the answers and put the value of Z there.

(A) 2.2+1=5, but it should be 6.
(B) 3.2=6, it can be the answer, lets check us the other options
(C) 5.2=10, no
(D) 2/3, no
(E) (3.2)/2=3, no

so the answer will be B..
Re: If x+y=8z, then which of the following represents the averag   [#permalink] 23 Aug 2013, 08:19
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