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I. ` (x+y)^(3) = 1331" "` II. ` x - y + z = 0` III. ` xy = 28`A. `x lt y = z `B. ` x le y lt z `C. ` x lt y gt z `D. ` x = y = z or if none of the above relationship is established

Answer» Correct Answer - D
I. ` (x+y)^(3) = 1331`
` rArr x + y = 11`
` rArr y = 11 - x`
From equation III,
` x (11-x) = 28`
` rArr x^(2) - 11x + 28 = 0`
` rArr x^(2) -7x - 4x + 28 = 0`
` rArr x (x -7) -4(x-7) = 0`
` rArr (x-7)(x-4) = 0`
` rArr x = 7, 4`
From equation I
` y = 4, 7`
From equation II
` 7-4+z = 0 rArr z =- 3`
` 4-7+z =0 rArr z = 3`


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