CAT 1993 — QA Question 5
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.
Two types of widgets, namely type A and type B, are produced on a machine. The number of machine hours available per week is 80. How many widgets of type A must be produced?
I. One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machine hours.
II. The widget dealer wants supply of at least 10 units of type A widget per week and he would not accept less than 15 units of type B widget.
Answer & solution
Answer: 3
From statement I: From this statement, exact number of widgets produced by machine A cannot be
determined.
From statement II: From this statement also exact number of widgets produced by machine A cannot be determined.
On combining statements I and II: Dealer produced minimum 10 units of widget A and 15 units of widget B and for that he requires 10 × 2 + 15 × 4 = 80 machine hours and number of machine hours available per week is also 80 hours.
Hence, he produced 10 units of widget A.