WBCS.LIVE practice question

The sum of the incomes of A and B is more than that of C and D taken together. The sum of the incomes of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the incomes of B and D. Whose income is the highest?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. A
  2. B
  3. C
  4. D

Correct answer and explanation

Correct answer: B

Explanation: āœ… Correct Answer: B) B šŸ“š Explanation: From the conditions: (A + B) > (C + D) and (A + C) = (B + D). Also A = (B + D)/2. Solving these inequalities and equations shows that B must have the largest individual value to satisfy the "higher sum" and "equal sum" conditions simultaneously.