CAT 2007 | Question: 48

Question

Answer the following question based on the information given below:

A health-drink company’s $\text{R & D}$ department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of $5$ alternative ingredients $\text{(O, P, Q, R and S)},$ which can be used in different proportions in the formulations. The table below gives the compositions of these ingredients. The cost per unit of each of these ingredients is $\text{O: 150, P: 50, Q: 200, R: 500, S: 100.}$

	Composition
Ingredient	Carbohydrate%	Protein %	Fat %	Minerals%
O	50	30	10	10
P	80	20	0	0
Q	10	30	50	10
R	5	50	40	5
S	45	50	0	5

For a recuperating patient, the doctor recommended a diet containing $10\%$ minerals and at least $30\%$ protein. In how many different ways can we prepare this diet by mixing at least two ingredients?

• A. One
• B. Two
• C. Three
• D. Four
• E. None

Answer 1

Answer $: \text{(A)}$ One

$10\%$ minerals and at least $30\%$ protein can be made by only $\text{O,Q}$