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CAT 1998 — QA Question 41

Data SufficiencyEasy

Direction: Each question is followed by two statements, I and II. Answer the questions based on the statements and mark the answer as
1. if the question can be answered with the help of any one statement alone but not by the other statement.
2. if the question can be answered with the help of either of the statements taken individually.
3. if the question can be answered with the help of both statements together.
4. if the question cannot be answered even with the help of both statements together.

Find the value of X in terms of ‘a’.
I. Arithmetic mean of X and Y is ’a’ while the geometric mean is also ‘a’.

II. XY = R; X - Y = D.

Answer & solution

Correct answer: 1

Answer: 1

Solution

Statement II is not required at all as no way can we express X in terms of 'a'.
Statement I implies that X + Y = 2a and XY = a2. Solving these two, we can say that X = a.
Hence, statement I alone is sufficient.

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CAT 1998 QA Q41: Direction: Each question is followed by two statements, I and II. Answer the questions based on the statements — Solution | TheCATExam