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15 Sep 2020, 00:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:38) correct
22%
(02:04)
wrong
based on 89
sessions
History
Date
Time
Result
Not Attempted Yet
Is a negative?
(1) \(a^3(b − 2a) < 0\)
(2) \(2a − b < 0\)
Are You Up For the Challenge: 700 Level Questions
(1) \(a^3(b − 2a) < 0\)
(2) \(2a − b < 0\)
Are You Up For the Challenge: 700 Level Questions
15 Sep 2020, 00:42
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Is a negative?
(1) a^3(b − 2a) < 0
(2) 2a − b < 0
Explanation:
S1: a^3(b − 2a) < 0 so two cases possible here,
Case1- a3<0 and b-2a>0
then a<0
Case 2-a3>0 and b-2a<0
then a>0
As we dont have information about the sign of (b-2a)
hence Insufficient.
S2: given 2a-b<0
As we have information about 'a' hence we can't comment about sign of 'a'
S2 also insufficient.
Combining S1& S2
a^3(b − 2a) < 0 & (2a − b) < 0
implies (b-2a)>0
so, a^3<0
which gives a<0
Hence C is the correct answer.
(1) a^3(b − 2a) < 0
(2) 2a − b < 0
Explanation:
S1: a^3(b − 2a) < 0 so two cases possible here,
Case1- a3<0 and b-2a>0
then a<0
Case 2-a3>0 and b-2a<0
then a>0
As we dont have information about the sign of (b-2a)
hence Insufficient.
S2: given 2a-b<0
As we have information about 'a' hence we can't comment about sign of 'a'
S2 also insufficient.
Combining S1& S2
a^3(b − 2a) < 0 & (2a − b) < 0
implies (b-2a)>0
so, a^3<0
which gives a<0
Hence C is the correct answer.
15 Sep 2020, 03:39
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Bunuel
Question: Is a < 0?
Statement 1: \(a^3(b − 2a) < 0 \)
i.e. either a < 0 and b-2a > 0
or b-2a < 0 and a > 0 hence
NOT SUFFICIENT
STatement 2: 2a − b < 0
i.e. b-2a > 0
No relation with a hence
NOT SUFFICIENT
COmbining the statements
Since, b-2a > 0 (from statement 2) therefore a < 0 hence
SUFFICIENT
Answer: Option C
