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If A + B > C + D and D + A < B + C, then

(1) D > B 

(2) C > D 

(3) A > D 

(4) B > D

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Best answer

Correct option: (4) B > D

Explanation:

A + B > C + D ⎯⎯ (1)

D + A < B + C ⎯⎯ (2)

or B + C > D + A ⎯⎯ (2)

Add eq(1) & (2)

A + B + B + C > C + D + D + A

⇒ A + 2B + C > C + 2D + A

⇒ 2B > 2D

⇒ B > D

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