Prompt analysis

A and b are real numbers.

Superset

The answer will be either YES or NO.

Translation

In order to find the answer, we need:

1# exact value of a and b.

2# any equation to find the a and b

3# any equation to find the exact or the range for a/b

Statement analysis

St 1: a^2/b^3 >0. a^2 is always greater than zero. If the complete expression is positive, that means that b^3 is positive hence b is positive. But nothing can be said about a. INSUFFICIENT

St 2: ab^4<0. b^4 is always positive.nothing can be said about b though. To make the expression negative, a has to be negative.

St 1 & St 2: from st 1, we can say that b>0. From st 2, we can say that a<0. Therefore a/b <0.

Option C.

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