CAT 1993 — QA Question 7
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 is the price of mangoes per kg?
I. Ten kg of mangoes and two dozens of oranges cost Rs.252.
II. Two kg of mangoes could be bought in exchange for one dozen oranges.
Answer & solution
Answer: 3
From statement I: Let price per kg of mangoes be
Rs.x and price per dozen of oranges be Rs.y.
∴10x + 2y = 252
From this statement, we cannot find x.
From statement II: 2x = y
From this statement also, we cannot find the price per kg of mangoes.
On combining statements I and II: 14x = 252 i.e., x = 18
Hence, the answer is (c).