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09 Dec 2022, 02:30
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
46% (01:24) correct
54%
(01:20)
wrong
based on 81
sessions
History
Date
Time
Result
Not Attempted Yet
If \(a = 4\), what is the value of \(c\)?
(1) \((abc)^4 = (ab^2c^3)^2\)
(2) \(b = 5\)
(1) \((abc)^4 = (ab^2c^3)^2\)
(2) \(b = 5\)
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
nissamis00
Joined: 24 Sep 2022
Last visit: 05 Nov 2025
Posts: 9
Given Kudos: 34
Location: Greece
Schools: INSEAD Jan '26 (WA)
GRE 1: Q164 V155
GPA: 8
WE:Engineering (Consulting)
09 Dec 2022, 10:49
Kudos
Bookmarks
Correct me if i am wrong cause i am not sure of the answer:
(1) => (abc)^4=256 * b^4 * c^4
256 * b^4 * c^4 = a^2 * b^4 * c^6 <=> 256 * c^4 = 4^2 * c^6 <=> c^6/c^4=256/16 <=> c^2=16 <=> c=4 or c=-4 Insuff
(2) => 256 * 5^4 * c^4 = 16 * 5^4 * c^6 <=> 256 * c^4 = 4^2 * c^6 <=> c^6/c^4=256/16 <=> c^2=16 <=> c=4 or c=-4 Insuff
IMO E
(1) => (abc)^4=256 * b^4 * c^4
256 * b^4 * c^4 = a^2 * b^4 * c^6 <=> 256 * c^4 = 4^2 * c^6 <=> c^6/c^4=256/16 <=> c^2=16 <=> c=4 or c=-4 Insuff
(2) => 256 * 5^4 * c^4 = 16 * 5^4 * c^6 <=> 256 * c^4 = 4^2 * c^6 <=> c^6/c^4=256/16 <=> c^2=16 <=> c=4 or c=-4 Insuff
IMO E
10 Dec 2022, 02:44
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Bunuel
Statement 1
\((abc)^4 = (ab^2c^3)^2\)
\(a^4 * b^4 * c^4 = a^2 * b^4 * c^6\)
\(a^4 * b^4 * c^4 - a^2 * b^4 * c^6 = 0\)
\(a^2 * b^4 * c^4( a^2 - c^2) = 0\)
We know a = 4, c can hold any value if b = 0. Hence the statement is not sufficient.
Statement 2
Clearly not sufficient
Combined
a = 4, b = 5, c can be 0 or \(c^2 = a^2\)
Insufficient
Option E
