CAT 2020 Slot 1 QA Q24 Ratio, Mixtures & Averages

Question 24 of the Quantitative Ability (QA) section, CAT 2020 Slot 1, with CAT's official answer and a worked solution.

An alloy is prepared by mixing metals A, B, C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of metals A, B, C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of the metal C is
  1. A
    84
  2. B
    48
  3. C
    96
  4. D
    70

Answer: (A) 84 Ratio, Mixtures & Averages MCQ

Solution

  1. Weight ratio = volume x density: \(3\cdot5 : 4\cdot2 : 7\cdot6 = 15:8:42\) (total 65).
  2. Metal C \(= \frac{42}{65}\times130 = 84\) kg.

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