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CAT 1995 — QA Question 42

Data SufficiencyEasy

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

Correct answer: 4

Answer: 4

Solution

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.

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CAT 1995 QA Q42: Direction: Each of these questions is followed by two statements, I and II. Mark the answer as 1. if the quest — Solution | TheCATExam