Mascarfi wrote:

If c ≠ 0 and \(\frac{(a*b)}{c}<0\), is \(\frac{a}{c}<0\) ?

(1) a < 0

(2) b < 0

Ans: B

solution: we have (a*b)/c < 0 ; is a/c<0 means we need to find that a and c have different signs.

from the given statement we know that either one or all of them are<0 only then (a*b)/c < 0 will be true.

1) a<0, but it does not say anything about b and c,

so what if b and c both <0 ; (a*b)/c < 0 true and a/c>0

what if b and c both >0 ; (a*b)/c < 0 true, and a/c<0

[Insufficient]

2) b<0, no information is given about a and c.

so (a*b)/c < 0 to be true either a and c must have the same sign.

and in both the cases a/c>0

[Sufficient]

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