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12 Nov 2022, 03:58
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A
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Difficulty:
65%
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Question Stats:
53% (01:46) correct
47%
(01:54)
wrong
based on 109
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There are 5 numbers: n, w, x, y, and z. What is the value of (n - x) + (n - w) + (n - y) + (n - z) ?
(1) n is the average of n, w, x, y, and z.
(2) The 5 numbers are consecutive integers.
(1) n is the average of n, w, x, y, and z.
(2) The 5 numbers are consecutive integers.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
12 Nov 2022, 06:44
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Bunuel
Question:
What is the value of (n - x) + (n - w) + (n - y) + (n - z) ?
Inference: We want to find the sum of distance of w, x, y and z with reference to n.
Statement 1
n is the average of n, w, x, y, and z.
There can be two cases -
Case 1: All the numbers in the set are same. In that case, the sum of distance is 0.
Case 2: All the numbers are different.
We know that the average of the set is n. So when the numbers are arranged in either ascending or descending order, some numbers will lie to the left of n, and some number will lie to its right.
As n is the average, the sum of the positive and negative distances will be 0.
Hence this statement is sufficient.
Statement 2
The 5 numbers are consecutive integers.
We don't know the position of n among the five numbers. Hence we can't find the distance with this information.
The statement is not sufficient.
Option A
