CAT 1998 — QA Question 41
Answer the next 2 questions based on the following information.
A company purchases components A and B from Germany and USA respectively. A and B form 30% and 50% of the total production cost. Current gain is 20%. Due to change in the international scenario, cost of the German mark increased by 30% and that of USA dollar increased by 22%. Due to market conditions, the selling price cannot be increased beyond 10%.
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. = R; X - Y = D.
Answer & solution
Answer: 1
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.