lheiannie07 wrote:Set Q contains n non-zero numbers. Does set Q contain an even number of negative numbers?
(1) n is even.
(2) The product of all the numbers in Q is 100,000
Which statement is sufficient?
OA B
(1) n is even.
We cannot determine whether set Q contains an even number of negative numbers. Insufficient.
(2) The product of all the numbers in Q is 100,000.
Since the product 100,000 is a positive number, we can deduce that the set must contain an even number of negative numbers.
Example: Say, Set Q is {-100, -50, -2, 10}, the product = -100,000 ≠100,000. So, this is an invalid example.
Thus, the above set must be either {-100, -50, 2, 10} or {-100, -50, -2, -10}. Sufficient.
The correct answer:
B
Hope this helps!
-Jay
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