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a, b, and c are integers such that a < b < c.

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sandy

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Joined: 07 Jun 2014

Posts: 4804

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

a, b, and c are integers such that a < b < c. [#permalink]

30 Aug 2018, 16:36

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a, b, and c are integers such that \(a < b < c\).

Quantity A	Quantity B
\(\frac{a+b+c}{3}\)	\(b\)

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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mathurmudit1003

Intern

Joined: 28 Aug 2018

Posts: 6

Location: United States

GRE 1: Q160 V143

Re: a, b, and c are integers such that a < b < c. [#permalink]

30 Aug 2018, 18:26

Proving the answer of (a+b+c)/3 to be both less than and greater than b will help us answer the question

Scenario 1
=========
a=1
b=2
c=3

(a+b+c)/3 = 2

b=2

Implies Quantity A and B are equal.

Scenario 2
=========
a=1
b=2
c=12

(A+b+c)/3 = 15/3= 5

Quantity A > B

Implies Ans - D The relationship cannot be determined from the information given.

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Mudit
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