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20 Apr 2022, 06:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
87% (00:33) correct
13%
(01:00)
wrong
based on 45
sessions
History
Date
Time
Result
Not Attempted Yet
20 Apr 2022, 06:57
Kudos
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Bunuel
S1-
Put a= 0
a^3 + 3ab = 0^3 + 3*0*b= 0 sufficient
S2-
Put b= 0
a^3 + 3* a* 0 = a^3+ 0= a^3 here, a can be a zero or a non zero. So clearly not sufficient.
Ans - A
Posted from my mobile device
20 Apr 2022, 11:10
Kudos
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Step 1: Analyse Question Stem
We have to find out if \(a^3\) + 3ab = 0.
Factoring out a, the expression a^3 + 3ab can be rewritten as a(\(a^2\) + 3b).
Therefore, the question can be rephrased as “Is a (\(a^2\) + 3b) = 0 ?”
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: a = 0
Zero multiplied with any other number equals zero.
Therefore, 0 (\(a^2\) + 3b) = 0
The data in statement 1 is sufficient to answer the question with a definite YES.
Statement 1 alone is sufficient. Answer options B, C and E can be eliminated.
Statement 2: b = 0
From this information, we can conclude that the second term inside the bracket is zero, i.e. the expression a (\(a^2\) + 3b) now becomes a(\(a^2\) + 0) or \(a^3\)
However, there is no information about a and therefore, we cannot say if the expression will be equal to zero.
The data in statement 2 is insufficient to answer the question with a definite YES or NO.
Statement 2 alone is insufficient. Answer options D can be eliminated.
The correct answer option is A.
We have to find out if \(a^3\) + 3ab = 0.
Factoring out a, the expression a^3 + 3ab can be rewritten as a(\(a^2\) + 3b).
Therefore, the question can be rephrased as “Is a (\(a^2\) + 3b) = 0 ?”
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: a = 0
Zero multiplied with any other number equals zero.
Therefore, 0 (\(a^2\) + 3b) = 0
The data in statement 1 is sufficient to answer the question with a definite YES.
Statement 1 alone is sufficient. Answer options B, C and E can be eliminated.
Statement 2: b = 0
From this information, we can conclude that the second term inside the bracket is zero, i.e. the expression a (\(a^2\) + 3b) now becomes a(\(a^2\) + 0) or \(a^3\)
However, there is no information about a and therefore, we cannot say if the expression will be equal to zero.
The data in statement 2 is insufficient to answer the question with a definite YES or NO.
Statement 2 alone is insufficient. Answer options D can be eliminated.
The correct answer option is A.
