Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. The average marks of three students Anuj, Ankit and Anupam is 470. Anuj and Anupam together got 875 marks and Ankit and Anupam together got 845 marks. Quantity I: The marks of Anuj. Quantity II: The marks of Ankit.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established
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A Correct answer
Explanation

Let marks be A (Anuj), K (Ankit), P (Anupam). Average of 3 students = 470, so A+K+P = 470*3 = 1410. Given: A+P = 875 and K+P = 845. From A+P = 875, P = 875 - A. From K+P = 845, K = 845 - P = 845 - (875 - A) = A - 30. Substituting in sum equation: A + (A-30) + (875-A) = 1410. A + A - 30 + 875 - A = 1410. A + 845 = 1410. A = 565 (Anuj's marks). Then K = 565 - 30 = 535 (Ankit's marks). Quantity I (565) > Quantity II (535).

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