CAT 2025 Slot 1 QA Q20 Equations

Question 20 of the Quantitative Ability (QA) section, CAT 2025 Slot 1, with CAT's official answer and a worked solution.

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is

TITA: type in the answer. There are no options and no negative marking.

Answer: 15 Equations TITA

Solution

  1. Stock A: \(10 \times 120 = 1200\), so B and C together are worth \(2100\).
  2. With \(b + c = 20\): \(90b + 150(20 - b) = 2100 \Rightarrow 3000 - 60b = 2100 \Rightarrow b = 15\).

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