CAT 1995 — QA Question 49
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.
Is x + y – z + t even?
I. x + y + t is even.
II. t and z are odd.
Answer & solution
Answer: 3
This can be answered using both the statements.
Statement II suggests that both t and z are odd.
Statement I suggests that (x + y + t) is even.
Since the difference between an even and an odd number is always odd, (x + y + t) – z will be odd.