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What is the value of the expression below?

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What is the value of the expression below? [#permalink] New post 19 Oct 2010, 04:34
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29% (01:53) correct 71% (00:42) wrong based on 14 sessions
What is the value of the expression below?
(n-x)+(n-y)+(n-z)+(n-K)

I. The average of x,y,z, and k is n.
II. x, y, z, and k are consecutive integers.
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Re: What is the value of the expression below....... [#permalink] New post 19 Oct 2010, 06:28
My answer is A.

If we solve the expression
(n-x)+(n-y)+(n-z)+(n-K)
= n - x + n - y + n -z + N - k
= 4n - x-y-z-k
= 4n - (x+y+z+k)

Now, if we consider Option1
Avg. of x, y, z, and k is n
therefore, (x+y+z+k)/4 = n
and x+y+z+k = 4n

Now if we put this value in our equation we get
4n - 4n = 0
So we get value of expression as 0


Now if we consider option2
it leads us to nowhere... therefore this option doesn't give us any value.

Therefore answer is A i.e. Option 1 is sufficient to give the answer
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Re: What is the value of the expression below....... [#permalink] New post 19 Oct 2010, 09:29
it should be A. OA pls
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Re: What is the value of the expression below....... [#permalink] New post 19 Oct 2010, 10:19
A

I SUFF - > 4n - (x+y+z+k) = Q
n - (x+y+z+k)/4 = Q/4
n - n = Q => 0

II INSUFF - > Even though we could say y = x+1, z = x+2 so forth; making the expression 4 n - (4x+6). But we do not know what is n or x
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Re: What is the value of the expression below....... [#permalink] New post 20 Oct 2010, 04:54
yes .. it is A only...
(n-x)+(n-y)+(n-z)+(n-K) = 4n - ( X+Y+Z+K)
from I.) The average of x,y,z, and k is n. ===> (X+Y+Z+K)/4 = N
====> X+Y+Z+K = 4n

so the value of (n-x)+(n-y)+(n-z)+(n-K) = 4n - ( X+Y+Z+K)
= 4n - 4n = 0

So (1) is sufficient

from (2), I know only that x, y, z, and k are consecutive integers.

wht is the starting value or what is the last value and what is the N value..
So, clarly it not sufficient..

So ans A alone
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Re: What is the value of the expression below....... [#permalink] New post 20 Oct 2010, 06:08
A.

4n-(x+y+z+k)

1. (x+y+z+k)/4=n ----> (x+y+z+k)=4n -----> 4n-4n=0 (Sufficient)
2. the statement doesn't give us any relationship between x,y,z&k and n. (Insufficient)

Even if 2. gave us some kind of relationship between one of these variables and n
you will end up with multiple values.

n, n+1, n+2, n+3 --------> 4n-(4n+6)=-6
n-1, n, n+1, n+2 --------> 4n-(4n+2)=-2
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Re: What is the value of the expression below.......   [#permalink] 20 Oct 2010, 06:08
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