CAT 1995 — QA Question 42
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.
What is the value of x, if x and y are consecutive positive even integers?
I. (x – y)2 = 4
II. (x + y)2 < 100
Answer & solution
Answer: 4
Statement I is useless as it only tells that if x and y are consecutive positive even integers, then (x – y)2 has to be equal to 4.
Statement II suggests the possibility that the numbers could be 2 and 4. But it does not suggest which is x and
which is y.
Hence, we cannot find the value of x using either statements.