DI Percentage Logic based Data Interpretation

Percentage Logic based Data Interpretation

Shortcut workshop on Percentage Logic based Data Interpretation

CAT and some of the other exams have evolved from traditional Calculation based DI to into more logic based questions like the graph below.

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.

Questions

1) In what proportion P,Q, and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost?

a) 2:1:3       b) 4:1:2       c) 2:1:4       d) 3:1:2      e) 4:1:1

2) 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 atleast 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible?

a) O & P       b) R & S       c) P & S       d) Q & R      e) O & S

3) 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 & Q       b) P& S       c) P&R       d) Q&S      e) R&S

4) For a recuperating patient, the doctor recommended a diet containing 10% minerals and atleast 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 of these

SOLUTION
  • 1) Option (a), (c) and (d) can be eliminated directly as the proportion of P is lesser than the other 2, and the question asks for the lowest cost.
    Between (b) and (e), without verifying we can mark option (e) as the answer, as a 4/6 is greater than 4/7.
  • 2) Based on the condition >30% carbohydrate and protein, option (a), option (b) and option (d) are eliminated. Based on the condition > 5% minerals option (d) is also ruled out. Hence answer is option (e)
  • 3) P and S are the cheapest ingredients but they cannot be used together as they have 0% fat. P& Q can be eliminated as protein% will be between 20 and 30. option (c) and option (e), both containing R; can be eliminated with some basic calculation as R costs Rs 500 per unit. This leaves option (d) as the answer.
  • 4) This is a 30 second answer. Only O and Q can be combined to make a mixture containing 10% minerals. Option (a)