Health-Drink Company

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(CAT 2007)

A health-drink company’s 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 (O, P, Q, R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients is O: 150, P: 50. Q: 200, R: 500, S: 100.



1. 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

2. Which among the following is the formulation having the lowest cost per unit for a diet having 10% fat and at least 30% protein? (The diet has to be formed by mixing two ingredients).
a. P and Q
b. P and S
c. P and R
d. Q and S
e. R and S

3. In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest cost per unit?
a. 2:1:3
b. 4:1:2 
c. 2:1:4 
d. 3:1:2 
e. 4:1:1

4. The company is planning to launch a balanced diet required for growth needs of adolescent children.
This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?
a. O and P 
b. R and S 
c. P and S

d. Q and R 
e. O and S

For answers click here.

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