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Is the average (arithmetic mean) of w, x, y, and z less than 28?

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Is the average (arithmetic mean) of w, x, y, and z less than 28?  [#permalink]

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New post 26 Jun 2018, 06:13
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A
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E

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  45% (medium)

Question Stats:

58% (01:20) correct 42% (01:12) wrong based on 33 sessions

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Is the average (arithmetic mean) of w, x, y, and z less than 28?

(1) The average (arithmetic mean) of w, x, and y is less than 28.
(2) The average (arithmetic mean) of x, y, and z is less than 28.
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Is the average (arithmetic mean) of w, x, y, and z less than 28?  [#permalink]

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New post 26 Jun 2018, 08:37
zhouchuzc wrote:
Is the average (arithmetic mean) of w, x, y, and z less than 28?

(1) The average (arithmetic mean) of w, x, and y is less than 28.
(2) The average (arithmetic mean) of x, y, and z is less than 28.


Is \(w+x+y+z<112\)

Statement 1: implies \(w+x+y<84\). we know nothing about \(z\). depending upon the value of \(z\), the sum of four numbers may or may not be less than \(112\). Insufficient

Statement 2: implies \(x+y+z<84\). we know nothing about \(w\). depending upon the value of \(w\), the sum of four numbers may or may not be less than \(112\). Insufficient

Combining 1&2: we have four variables and only two inequalities. values cannot be determined. Insufficient

Option E
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Re: Is the average (arithmetic mean) of w, x, y, and z less than 28?  [#permalink]

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New post 26 Jun 2018, 08:41
zhouchuzc wrote:
Is the average (arithmetic mean) of w, x, y, and z less than 28?

(1) The average (arithmetic mean) of w, x, and y is less than 28.
(2) The average (arithmetic mean) of x, y, and z is less than 28.


Easy to fall for C trap..
Note - the numbers are not in any order...

Each statement alone is not enough as one variable is missing in each..

Combined..
average of w,x,y,x,y,z <28
So if we take w,x,y and z each less than 10, average will be <10..so <28...yes
Say w=70, y=7 and x=6 Avery<28
Also y=7,x=6 and z=70.. average<28
But X+y+w+z=70+7+6+70=153
So average=153/4=38...>28.. so Ans NO
Insufficient

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is the average (arithmetic mean) of w, x, y, and z less than 28?  [#permalink]

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New post 26 Jun 2018, 10:02
w+x+y+z<112 ?
(1) w+x+y<84
(2) x+y+z<84

(1) and (2)

x+y=1; w=82; z=82
No

x+y=1; w=1; z=1
Yes

Answer E
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Re: Is the average (arithmetic mean) of w, x, y, and z less than 28? &nbs [#permalink] 26 Jun 2018, 10:02
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