MINDPOWER
S = X^3 +3^X
Is S > 0?
(1) x < 0
(2) | x | > 1
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D.EACH statement ALONE is sufficient.
E.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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\(S = X^3 +3^X\)
Per statement 1, x<0. If x=-0.5, then S>0 but if x=-1, then S<0. This statement is not sufficient.
Per statement 2, |x|>1 ---> x<-1 or x>1 . For x<-1 , S<0 but for x>1, S>0. Thus this statement is not sufficient.
Combining the 2 statements, you get x<-1 and for all the values of x satisfying x<-1 will give you a unique answer of S<0.
Thus C is the correct answer.