CAT 2014 | Question: 5

Question

The question is followed by two statements, I and II. Mark the answer as.

1. if the question can be answered with the help of statement I alone.
2. if the question can be answered with the help of statement II, alone. 
3. if both statement I and statement II are needed to answer the question.
4. if the question cannot be answered even with the help of both the statements.

If $x, y$ and $z$ are real numbers, is $z – x$ even or odd? 

1. $xyz$ is odd. 
2. $xy + yz + zx$ is even.