Monday, September 13, 2010

If M is a finite set of negative integers, is the total number of integers in M an odd number?

(1) The product of all the integers in M is odd

(2) The product of all the integers in M is negative






(1) The product of all the integers in M is odd
Can be Odd X Odd or Odd X Odd X Odd, even or odd number of integers in the set NS

(2) The product of all the integers in M is negative.
This can only occur when the number of items in the set are odd (Neg X Neg X Neg), even number of items (Neg X Neg) yields a positive number

Correct Answer is B

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