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a = 2b = 4c and a, b, and c are integers.

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a = 2b = 4c and a, b, and c are integers. [#permalink]  23 Jun 2018, 12:19
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Question Stats:

65% (00:47) correct 34% (00:49) wrong based on 70 sessions
a = 2b = 4c and a, b, and c are integers.

 Quantity A Quantity B $$a + b$$ $$a + c$$

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.
[Reveal] Spoiler: OA

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Sandy
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Re: a = 2b = 4c and a, b, and c are integers. [#permalink]  23 Jun 2018, 12:26
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sandy wrote:
a = 2b = 4c and a, b, and c are integers.

 Quantity A Quantity B $$a + b$$ $$a + c$$

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.

This post is repeated "https://greprepclub.com/forum/a-2b-4c-and-a-b-and-c-are-integers-9343.html" . I have deleted the old post to avoid repetition

Here let a=4, b= 2 and c= 1

or it can be a= -4 , b= -2 and c= -1

and both of them still satisfy the given statement

Now if we consider positive integer then statement A is greater

but if we consider negative integer then statement B is greater.
Hence option D
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3029 [0], given: 394

Re: a = 2b = 4c and a, b, and c are integers. [#permalink]  17 Jul 2018, 12:09
Expert's post
Explanation

Since a is common to both quantities, it can be ignored. The comparison is really between b and c.

Because 2b = 4c, it is true that b = 2c, so the comparison is really between 2c and c. Watch out for negatives. If the variables are positive, Quantity A is greater, but if the variables are negative, Quantity B is greater.
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Re: a = 2b = 4c and a, b, and c are integers. [#permalink]  16 Sep 2019, 09:03
1
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sandy wrote:
Explanation

Since a is common to both quantities, it can be ignored. The comparison is really between b and c.

Because 2b = 4c, it is true that b = 2c, so the comparison is really between 2c and c. Watch out for negatives. If the variables are positive, Quantity A is greater, but if the variables are negative, Quantity B is greater.

So, the comparison is really between 2c and c.

Why not we cancel both C from both side and rest we get 2 and 1. So A is greater !!!!!!!!!!!!!!!!
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Re: a = 2b = 4c and a, b, and c are integers.   [#permalink] 16 Sep 2019, 09:03
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