CAT 1997 — QA Question 34
VariationEasy
The value of each of a set of coins varies as the square of its diameter, if its thickness remains constant, and it varies as the thickness, if the diameter remains constant. If the diameter of two coins are in the ratio 4 : 3, what should be the ratio of their thickness if the value of the first is four times that of the second?
Answer & solution
Correct answer: 9 : 4
- A
16 : 9
9 : 4
- C
9 : 16
- D
4 : 9
Solution
Let D1, T1 and D2, T2 denote the diameters and the thickness of the two coins respectively. If V1 and V2 are the values of the two coins.
Therefore,