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If abc = b^3 , which of the following must be true? I. ac = b^2 II. b
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25 Feb 2021, 05:22
25 Feb 2021, 05:22
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If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
A. None
B. I only
C. II only
D. I and III
E. II and III
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
I. ac = b^2
II. b = 0
III. ac = 1
A. None
B. I only
C. II only
D. I and III
E. II and III
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: If abc = b^3 , which of the following must be true? I. ac = b^2 II. b
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25 Feb 2021, 07:10
25 Feb 2021, 07:10
Carcass wrote:
If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
A. None
B. I only
C. II only
D. I and III
E. II and III
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
I. ac = b^2
II. b = 0
III. ac = 1
A. None
B. I only
C. II only
D. I and III
E. II and III
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's answer this question by Process Of Elimination.
I. ac = b²
Must this be true? No.
Consider the case where a = 1, b = 0 and c = 1
This set of values satisfies the given equation (abc = b³),
HOWEVER it is not the case that ac = b²
Plug in the values to get (1)(1) = 0² - NOT TRUE
II. b = 0
Must this be true? No.
Consider the case where a = 1, b = 1 and c = 1
This set of values satisfies the given equation (abc = b³),
HOWEVER it is not the case that b = 0
NOTE: At this point, we need not examine statement III, because none of the answer choices state that only statement III must be true.
However, let's examine statement III for "fun"
III. ac = 1
Must this be true? No.
Consider the case where a = 0, b = 0 and c = 0
This set of values satisfies the given equation (abc = b³),
HOWEVER it is not the case that ac = 1
Answer: A
Re: If abc = b^3 , which of the following must be true? I. ac = b^2 II. b
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18 May 2024, 01:31
18 May 2024, 01:31
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
