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      Question

      ((0.1)3+ (1.8)3+ (1.1)3

      - 0.3 ×1.8 ×1.1)/((0.1)2+ (1.8)2+ (1.1)2- (0.18)- (0.11)- (1.8 ×1.1))= ? What value should come in place of the question-mark (?) in the following questions:
      A 3 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C -3 Correct Answer Incorrect Answer
      D -5 Correct Answer Incorrect Answer
      E 5 Correct Answer Incorrect Answer

      Solution

      a³ + b³ + c³ - 3abc = (a+b+c) (a² + b² + c² -ab –bc -ca) According to the question, (γ€–(0.1)γ€—^3+ γ€–(1.8)γ€—^3+ γ€–(1.1)γ€—^3- 0.3 ×1.8 ×1.1)/(γ€–(0.1)γ€—^2+ γ€–(1.8)γ€—^2+ γ€–(1.1)γ€—^2- (0.18)- (0.11)- (1.8 ×1.1)) ⇒ ((0.1+1.8+1.1) ((0.1)^2+ (1.8)^2+ (1.1)^2- (0.18)- (0.11)- (1.8 ×1.1)))/(γ€–(0.1)γ€—^2+ γ€–(1.8)γ€—^2+ γ€–(1.1)γ€—^2- (0.18)- (0.11)- (1.8 ×1.1)) ⇒ (0.1+1.8+1.1) = 3

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