Question

Given that pqrs$\ne$0, is $p{q}^2{r}^3{s}^4<0?$
(1) $p{q}^2{r}^3<0$
(2) $q^2{r}^3{s}^4<0$

• A. IF statement (1) alone is sufficient, but statement (2) is not or If Statement (2) alone is sufficient but statement (1) is not
• B. If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient
• C. If Each statement ALONE is sufficient
• D. Statement s (1) and (2) TOGETHER are not sufficient

Answer 1

The correct option is A IF statement (1) alone is sufficient, but statement (2) is not or If Statement (2) alone is sufficient but statement (1) is not

Option (a)

Statement (1) alone is sufficient, as "s” is raised to an even power and will not alter the state of the expression (positive or negative)
Statement (2) is not sufficient as we do not know anything about p, and p is raised to an odd power (1). Hence, the state of the expression (i.e. positive or negative) depends on "p"