CAT 1995 — QA Question 41
Directions for next 4 questions: Answer the questions based on the following information.
le(x, y) = Least of (x, y)
mo(x) = |x|
me(x, y) = Maximum of (x, y)
Direction: Each of these questions 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?
I. xyz is odd.
II. xy + yz + zx is even.
Answer & solution
Answer: 1
Statement I suggests that xyz is odd. This is only possible if all three of them are odd.
Hence, z – x is even.
So only statement I is required to answer the question.