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What is the average (arithmetic mean) of x, y, and z ?

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Bunuel
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What is the average (arithmetic mean) of x, y, and z ? [#permalink] New post  24 Jan 2021, 00:04
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82% (01:03) correct 18% (01:03) wrong based on 124 sessions

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What is the average (arithmetic mean) of x, y, and z ?

(1) x + y = 5

(2) y + z = 7
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pushpitkc
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Re: What is the average (arithmetic mean) of x, y, and z ? [#permalink] New post  24 Jan 2021, 00:44
Bunuel wrote:
What is the average (arithmetic mean) of x, y, and z ?

(1) x + y = 5

(2) y + z = 7


1. We do not have any information about z. Hence we cannot find
the average of x,y, and z (Insufficient)

2. We do not have any information about x. Hence we cannot find
the average of x,y, and z (Insufficient)

On combining both the sentences,

Case 1 - x = 1, y = 4, z = 3 Average = 1+4+3/3 = 2.67
Case 2 - x = 3, y = 2, z = 5 Average = 3+2+5/3 = 3.34

We cannot get a unique value for the average (Insufficient - Option E)
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RajatJ79
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Re: What is the average (arithmetic mean) of x, y, and z ? [#permalink] New post  25 Jan 2021, 02:38
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Bunuel wrote:
What is the average (arithmetic mean) of x, y, and z ?

(1) x + y = 5

(2) y + z = 7


Statement 1 alone is Insufficient.
(1) x + y = 5
Value of z is not known, hence arithmetic mean of x, y, and z cannot be found.

Statement 2 alone is Insufficient.
(2) y + z = 7
Value of x is not known, hence arithmetic mean of x, y, and z cannot be found.

Combining 1 and 2 together,
3 unknown variables and only 2 equations. Hence, 1 and 2 together are also insufficient.

Answer should be Option E.
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suchita2409
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What is the average (arithmetic mean) of x, y, and z ? [#permalink] New post  25 Jan 2021, 06:35
What is the average (arithmetic mean) of x, y, and z ?

(1) x + y = 5

(2) y + z = 7

WE have to find x+y+z /3

X +y = 5
We know nothing about z, so Insufficient.

y+z = 7
We know nothing about x so insufficient

Even after combining the statements there is one variable left whose value we do not know for sure.

y= 5-x

x+ 5-x +z /3 =5+z /3 z is unknown here.
If I try to put z = 7-y we shall have 5+7 -y /3, we still have one variable left and is not sufficient to answer the question.

E IMO
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Re: What is the average (arithmetic mean) of x, y, and z ? [#permalink] New post  19 Jan 2023, 02:42
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Re: What is the average (arithmetic mean) of x, y, and z ? [#permalink]
19 Jan 2023, 02:42
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