CAT 1993 — QA Question 2
Each of these questions is followed by two statements. As the answer,
Mark (a), If the question can be answered with the help of statement I alone,
Mark (b), If the question can be answered with the help of statement II, alone,
Mark (c), If both, statement I and statement II are needed to answer the question, and
Mark (d), If the question cannot be answered even with the help of both the statements.
What are the values of 3 integers a, b, and c?
I. ab = 8
II. bc = 9
Answer & solution
Answer: 3
From statement I:
(a, b) can be (1, 8), (2, 4), (4, 2) and (8, 1).
Therefore, statement I alone cannot give the value of
a, b and c.
From statement II:
(b, c) can be (1, 9), (3, 3) and (9, 1).
On combining statements I and II:
b = 1, a = 8 and c = 9
Hence, the answer is (c).