GRE Exam Numerical Ability Algebra

If the product of 8 integers is negative, at most how many of the integers can be negative?

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Product becomes negative if one of the number is negative. At most, 7 integers can be negative.
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GRE Other Question

If x^5*y^4*z^2 <0 , which of the following must be true?
Select ALL such statements.

A. xy < 0
B. yz < 0
C. xz < 0
D. x < 0
E. x^5 < 0 If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
Select ALL such statements.

A. n is odd
B. n + 1 cannot be a prime number
C. (n + 2) divided by 7 has remainder 2
D. n + 3 is divisible by 5