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niteshwaghray
GMAT 1: 700 Q45 V40
Posts: 59
23 May 2017, 12:14
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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:
15%
(low)
Question Stats:
74% (00:55) correct
26%
(00:58)
wrong
based on 124
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If \(ab > 0\), what is the value of \((a + b)^2\)
(1) \(a^2 = 4\)
(2) \(b^2 = 1\)
(1) \(a^2 = 4\)
(2) \(b^2 = 1\)
23 May 2017, 12:18
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If \(ab > 0\), what is the value of \((a + b)^2\)
\(ab > 0\) means that a and b have the same sign.
(1) \(a^2 = 4\) --> a = 2 or a = -2. Not sufficient.
(2) \(b^2 = 1\) --> b = 1 or b = -1. Not sufficient.
(1)+(2) Since a and b have the same sign, a = 2 and b = 1 OR a = -2 and b = -1. In any case, (a + b)^2 = 9. Sufficient.
Answer: C.
\(ab > 0\) means that a and b have the same sign.
(1) \(a^2 = 4\) --> a = 2 or a = -2. Not sufficient.
(2) \(b^2 = 1\) --> b = 1 or b = -1. Not sufficient.
(1)+(2) Since a and b have the same sign, a = 2 and b = 1 OR a = -2 and b = -1. In any case, (a + b)^2 = 9. Sufficient.
Answer: C.
24 May 2017, 11:20
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If ab>0, it means both a and b have same sign.
Either both a and b are positive or both a and b are negative
We want the value of (a+b)^2
Obviously, none of the statements individually take us to the answer, because 1st statement tells us only about 'a'; while second statement tells us only about 'b'.
Lets combine the two statements.
a^2 = 4, so a can be 2 or -2
b^2 = 1, so b can be 1 or -1
But we know that both a and b have same signs, Either a=2, b=1 OR a=-2, b=-1
So Either a+b = 3 OR a+b = -3
Our required answer: (a+b)^2 = 3^2 Or (-3)^2
In any case its '9'. So Sufficient.
Hence C answer
Either both a and b are positive or both a and b are negative
We want the value of (a+b)^2
Obviously, none of the statements individually take us to the answer, because 1st statement tells us only about 'a'; while second statement tells us only about 'b'.
Lets combine the two statements.
a^2 = 4, so a can be 2 or -2
b^2 = 1, so b can be 1 or -1
But we know that both a and b have same signs, Either a=2, b=1 OR a=-2, b=-1
So Either a+b = 3 OR a+b = -3
Our required answer: (a+b)^2 = 3^2 Or (-3)^2
In any case its '9'. So Sufficient.
Hence C answer
