CAT 1998 — QA Question 42
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.
There are two concentric circles C1 and C2 with radii r1 and r2. The circles are such that C1 fully encloses C2. Then what is the radius of C1?
I. The difference of their circumference is k cm.
II. The difference of their areas is m sq. cm.
Answer & solution
Answer: 3
The information given in the question implies that r1 > r2.
Statement I suggests that (r1 – r2) = . Hence, this statement alone does not give the value of r1.
Statement II implies that (r12 – r22) = .
Hence, again this statement alone is not sufficient to answer the question. But in the second equation, we simplify (r12 – r22) as (r1 + r2)(r1 – r2) and then substitute the value of (r1 – r2) from the first equation, we will get the value of (r1 + r2). Now we have two equations in r1 and r2, which can be solved simultaneously to get the value of r1. Hence, both the statements when together taken can answer the question.