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20 Apr 2016, 01:01
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If x is an integer and (x)(x^2)(x^3) is positive, which of the following could be negative?
A. x^4
B. (x)(x^3)
C. (x)(x)
D. x + x^3
E. 3x^2
A. x^4
B. (x)(x^3)
C. (x)(x)
D. x + x^3
E. 3x^2
20 Apr 2016, 03:04
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Assuming) x is negative (makes it easier)
(-2)(-2^2)(-2^3)
(-2)^3.(-2)^3
The two negative numbers will remain negative, so they will both cancel out.
So we need an equation where x^n with n being odd.
a) not sufficient -> will always be positive
b) not sufficient -> equals x^4 which will always be positive
c) not sufficient -> equals x^2 which will always be positive
d) -2+-8 = -10!!!
e) 3*4=12 is positive (pemdas!)
Answer is d
(-2)(-2^2)(-2^3)
(-2)^3.(-2)^3
The two negative numbers will remain negative, so they will both cancel out.
So we need an equation where x^n with n being odd.
a) not sufficient -> will always be positive
b) not sufficient -> equals x^4 which will always be positive
c) not sufficient -> equals x^2 which will always be positive
d) -2+-8 = -10!!!
e) 3*4=12 is positive (pemdas!)
Answer is d
20 Apr 2016, 10:48
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Bunuel
If x is an integer and (x)(x^2)(x^3) is positive,which of the following could be negative?
A. x^4
B. (x)(x^3)
C. (x)(x)
D. x + x^3
E. 3x^2
A. x^4
B. (x)(x^3)
C. (x)(x)
D. x + x^3
E. 3x^2
\(x^y\) can be negative only when y is odd...
This \(x^3\) will be negative
Further (-ve ) + (-ve ) = (-ve )
Only (D) follows ( because all others are x^ even numbers , resulting in a +ve number)...
