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CAT 1995 — DILR Question 33

TablesEasy
Passage / Data

Direction: Answer the questions based on the following table.

Machine M1 as well as machine M2 can independently produce either product P or product Q. The time taken by machines M1 and M2 (in minutes) to produce one unit of product P and product Q are given in the table below: (Each machine works 8 hour per day).

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What is the least number of machine hours required to produce 30 pieces of P and 25 pieces of Q respectively?

Answer & solution

Correct answer: 6 hr 30 min

  • 6 hr 30 min

  • B

    7 hr 24 min

  • C

    6 hr 48 min

  • D

    4 hr 6 min

Solution

In order to minimize time required, we will manufacture P on M2 and Q on M1. Number of machine hours required to manufacture 30 units of P on M2 = (30 × 8) = 240 min = 4 hr. Number of machine hours required to manufacture 25 units of Q on M1 = (25 × 6) = 150 min = 2.5 hr. So total time taken = (4 + 2.5) = 6.5 hr or 6 hr 30 min.

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CAT 1995 DILR Q33: What is the least number of machine hours required to produce 30 pieces of P and 25 pieces of Q respectively? — Solution | TheCATExam