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CAT 2024 Slot 1 · Quant · Mixtures and Alligation · medium

Alloy A contains copper and zinc in the ratio 3:2, and alloy B contains them in the ratio 1:3. If equal quantities (by weight) of A and B are melted…

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Alloy A contains copper and zinc in the ratio 3:2, and alloy B contains them in the ratio 1:3. If equal quantities (by weight) of A and B are melted together to form alloy C, find the ratio of copper to zinc in C.
  1. A. 3:4
  2. B. 17:23
  3. C. 19:21
  4. D. 1:1
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Answer: (B) 17:23

Take 20 units of each alloy (LCM of 5 and 4). In A: copper = (3/5)×20 = 12, zinc = 8. In B: copper = (1/4)×20 = 5, zinc = 15. In C: total copper = 12+5 = 17, total zinc = 8+15 = 23. Ratio = 17:23, which does not simplify further.
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