If b is positive, is ab positive?

1. \(a^2b>0\)Since we are given b is positive,

if a is either positive or negative, the expression \(a^2b>0\) holds true.

Case 1: a=-3, b=2 Here, ab is negative

Case 2: a=3, b=2 Here, ab is positive(Insufficient)

2. \(a^2+b=13\)Since we are given b is positive,

if a is either positive or negative, the expression \(a^2+b=13\) holds true.

Case 1: a=-3, b=5 Here, ab is negative

Case 2: a=3, b=5 Here, ab is positive(Insufficient)

Even combining both the statements, we will be left with two options

in the first one - both a and b are positive

in the second one - a is negative and b is positive. (Insufficient)

(Option E)
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