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Re: What is the value of the expression above? [#permalink]

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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
_________________

Re: What is the value of the expression above? [#permalink]

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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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Consider KUDOS if my post was helpful.

My Debrief: http://gmatclub.com/forum/750-q49v42-105591.html#p825487

Re: What is the value of the expression above? [#permalink]

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13 Feb 2017, 16:11

pzazz12 wrote:

(n-x) + (n-y) + (n-c) + (n-k) What is the value of the expression above?

(1) The average (arithmetic mean) of x, y, c, and k is n. (2) x, y, c, and k are consecutive integers.

We need to determine the value of (n-x) + (n-y) + (n-c) + (n-k), which can be simplified to:

4n - x - y - c - k

Statement One Alone:

The average (arithmetic mean) of x, y, c, and k is n.

We can create the following equation:

(x + y + c + k)/4 = n

x + y + c + k = 4n

Notice that 4n - x - y - c - k = 4n - (x + y + c + k), so we can substitute x + y + c + k with 4n and we have:

4n - (x + y + c + k) = 4n - 4n = 0

Statement one alone is sufficient to answer the question.

Statement Two Alone:

x, y, c, and k are consecutive integers.

Knowing that x, y, c, and k are consecutive integers is not enough information to determine the value of (n-x) + (n-y) + (n-c) + (n-k) because we still don’t know each individual value of x, y, c, and k, nor do we know anything about n. Statement two alone is not sufficient to answer the question.

Answer: A
_________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

gmatclubot

Re: What is the value of the expression above?
[#permalink]
13 Feb 2017, 16:11

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