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CAT 2023 Slot 1 · Quant · Mixtures and Alligation · medium

Alloy A has copper and zinc in the ratio 3:2, and alloy B has copper and zinc in the ratio 1:3. Equal weights of A and B are melted together. Find…

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Alloy A has copper and zinc in the ratio 3:2, and alloy B has copper and zinc in the ratio 1:3. Equal weights of A and B are melted together. Find the ratio of copper to zinc in the resulting mixture.
  1. A. 17:23
  2. B. 15:23
  3. C. 17:25
  4. D. 19:23
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Answer: (A) 17:23

Take 20 units of each alloy (LCM of 5 and 4). In A (ratio 3:2 of 5 parts): copper = 20×3/5 = 12, zinc = 20×2/5 = 8. In B (ratio 1:3 of 4 parts): copper = 20×1/4 = 5, zinc = 20×3/4 = 15. Total copper = 12+5 = 17, total zinc = 8+15 = 23. So the ratio is 17:23.
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Original question written in the CAT 2023 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake