sud21 wrote:In the number line, is point P between Q and Z?
1). The product of P and Q is greater than 0
2). The product of P and Z is less than 0
To answer this question, it might be useful to use a number line to show the different cases that follow from each statement.
Statement 1: The product of P and Q is greater than 0
i.e., the product is positive. So:
case a) either P & Q are both negative
case b) P & Q are both positive
On a number line, we get:
case a) _____P_Q____
0__________
case b) ____________
0________P_Q__
Since we have no information about Z, we cannot answer the target question with any certainty.
So, statement 1 is NOT SUFFICIENT
Statement 2: The product of P and Z is less than 0
i.e., the product is negative.
So one is positive and one is negative
On a number line, we get:
case a) _____P______
0____Z______
case b) _____Z______
0____P______
Since we have no information about Q, we cannot answer the target question with any certainty.
So, statement 2 is NOT SUFFICIENT
Statements 1& 2:
Several cases are possible. Here are two:
On a number line, we get:
case a) _____Z______
0____P__Q____ (P
is between Q and Z)
case b) _____Z______
0____Q__P____ (P
is not between Q and Z)
Since we cannot answer the target question with certainty, statements 1 & 2 are NOT SUFFICIENT, so the answer is
E
Cheers,
Brent
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