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List S: —25, —10, 0, 10, 25 The numbers in which of the fol

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18319

GRE 1: Q160 V160

List S: —25, —10, 0, 10, 25 The numbers in which of the fol [#permalink]

04 Mar 2017, 03:32

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14% (00:22) wrong

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This question is a part of PowerPrep Question Collection

List S: $-25, -10, 0, 10, 25$

The numbers in which of the following lists have an average (arithmetic mean) that is equal to the average of the numbers in list S ?

Indicate all such lists.

❑ —10, —5, 0, 5, 10

❑ —20, —10, 0, 10, 20

❑ —25, —20, 0, 10, 25

❑ —25, —5, 0, 5, 25

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sandy

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Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

Re: List S: —25, —10, 0, 10, 25 The numbers in which of the fol [#permalink]

07 Mar 2017, 16:03

Expert Reply

Explanation

We know $\frac{sum}{# of #s} = average$.

We know from List S: —25, —10, 0, 10, 25

Sum of the list S = 0.

Answer choices (A), (B), and (D) have similar patterns, so the average of these three answer choices is also 0. The sum of choice (C) will be –10, so the average is –2.

Hence options A, B and D are correct.
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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18319

GRE 1: Q160 V160

Re: List S: —25, —10, 0, 10, 25 The numbers in which of the fol [#permalink]

16 Mar 2021, 06:40

Expert Reply

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IndianaHoosier

Manager

Joined: 27 Jun 2021

Posts: 69

GRE 1: Q154 V167

GPA: 3.71

Re: List S: —25, —10, 0, 10, 25 The numbers in which of the fol [#permalink]

14 Aug 2021, 10:47

Process
1. Recognize that the list is "symmetrical" about 0. In such a list, the average will be 0.
2. All the lists have 0 at their center and the same format, so we can just check to make sure they share the same symmetry of terms and we'll be good.

A, B, and D fit the bill!

gmatclubot

[#permalink]

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