Asad
\(a\), \(b\), and \(c\) are three integers such that \(a<b<c.\) Is \(a×b×c\) positive?
1) \(a×b\) is positive
2) \(c\) and \(b\) lie on either side of zero on the number line
whether a*b*c is positive or not.
Note: there is no indication regarding sign of a, b, c. we only know their order.
Statement 1: a*b = positive. we don't know anything regarding c. if a and b are positive , c must be positive. in this case . ultimate result will be positive. what if a and b are negative but c is positive. NOT sufficient.
Statement 2 : c and b lie on either side of the zero on the number line. One of b and c must be negative. From the given sequence , it is clear that c is positive ,b is negative. a is lowest among three. a must be negative. So, we have 2 negative and 1 positive.
( - ) ( - ) ( + ) = positive.
Sufficient.
B is the correct answer.