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The sum of the income of A and B is more than that of C and D taken together. The sum of the incomes of…

The statement that A earns more than B is incorrect. Since A + C = B + D and 2A = B + D, it follows that A = C. The inequality A + B > C + D then gives B > D, and A = (B +…

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The sum of the income 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.
Which of the following statements is not correct?

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Answer and explanation

Correct answer A

The statement that A earns more than B is incorrect. Since A + C = B + D and 2A = B + D, it follows that A = C. The inequality A + B > C + D then gives B > D, and A = (B + D)/2 lies between them; thus B > A = C > D.

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