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Difficulty:
15%
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Question Stats:
73% (00:52) correct
27%
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What is the value of \(\frac{14m^4}{s^6}\) ?
(1) \(m^2 = 3s^3\)
(2) \(s^6 = 64\)
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(1) \(m^2 = 3s^3\)
(2) \(s^6 = 64\)
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
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What is the value of 14m^4/s^6 ?
14m^4/s^6
=14m^4*s^-6
(1) m^2 = 3s^3
m^4 = 9s^6
14m^4*s^-6
14*9s^6*s^-6
=14*9
Sufficient
(2) s^6 = 64
No indication of the value of m
Insufficient
Answer: A
14m^4/s^6
=14m^4*s^-6
(1) m^2 = 3s^3
m^4 = 9s^6
14m^4*s^-6
14*9s^6*s^-6
=14*9
Sufficient
(2) s^6 = 64
No indication of the value of m
Insufficient
Answer: A
GMAT 1: 760 Q51 V42
Posts: 10,057
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
What is the value of 14m^4/s^6 ?
(1) m^2 = 3s^3
(2) s^6 = 64
When you modify the original condition and the question, they become 14m^4/s^6=14(m^2/s^3)^2=?. When you have a look at m^2/s^3=3 in 1), it is unique and sufficient. Therefore, the answer is A.
-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
What is the value of 14m^4/s^6 ?
(1) m^2 = 3s^3
(2) s^6 = 64
When you modify the original condition and the question, they become 14m^4/s^6=14(m^2/s^3)^2=?. When you have a look at m^2/s^3=3 in 1), it is unique and sufficient. Therefore, the answer is A.
-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
Bunuel
Question : What is the value of 14m^4/s^6 ?
i.e. Question : What is the value of 14(m^2/s^3)^2 ?
i.e. Question : What is the value of m^2/s^3 ?
Statement 1: m^2 = 3s^3
i.e. m^2 /s^3 = 3
SUFFICIENT
Statement 1: s^6 = 64
m is unknown hence
NOT SUFFICIENT
Answer: Option A
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Abrax99
Joined: 22 May 2012
Last visit: 26 Nov 2016
Posts: 4
Concentration: General Management, Entrepreneurship
Schools: Insead July'17
GPA: 3.2
Schools: Insead July'17
Posts: 4
Just wondering
For statement (1) only to be true, wouldn't we have to know, that '0' is not an option.
i.e. 1) m^2=3s^3 would hold true for s=0 too
no where in the question does it state the they are non-zero (both m and s) - how do I assume that?
I chose C because of that reason, otherwise I wouldve picked A as both powers cancel and we get the answer - but for option 0, this wont hold true as 0^1 would still be 0 giving us 0 for an answer!??
Please correct me!!
For statement (1) only to be true, wouldn't we have to know, that '0' is not an option.
i.e. 1) m^2=3s^3 would hold true for s=0 too
no where in the question does it state the they are non-zero (both m and s) - how do I assume that?
I chose C because of that reason, otherwise I wouldve picked A as both powers cancel and we get the answer - but for option 0, this wont hold true as 0^1 would still be 0 giving us 0 for an answer!??
Please correct me!!
Abrax99
Yes, 0 is an option for statement1 but for m=s=0, the question stem will be undefined so that is not acceptable option as per question.
P.S.Denominator of a fraction, for all GMAT Quant questions, can never be equal to zero
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GMATinsight (Tutor & Admission Consultant) | Contact for a FREE trial session
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
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8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
Our Recent scores: 735 | 715(3) | 705(2) | 695 (>5)
FREE Resources (Recommended BOOKMARKS):
8 FREE Focus Tests | Dynamic Focus Calculator | Data Insight (DI): Guide/Analysis/20+Video solution of Official Qns.
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