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      Question

      The value of 42 ÷ 9 of 6 - [64 ÷   48 x 3 – 15 ÷ 8

      x (11 – 17) ÷ 9] ÷ 14 is:
      A 19/36 Correct Answer Incorrect Answer
      B 7/18 Correct Answer Incorrect Answer
      C 29/72 Correct Answer Incorrect Answer
      D 5/12 Correct Answer Incorrect Answer

      Solution

      42 ÷ 9 of 6 - [64 ÷ 48 × 3 - 15 ÷ 8 × (11 - 17) ÷ 9 ] ÷ 14 ⇒ 42 ÷ 54 - [64 ÷ 48 × 3 - 15 ÷ 8 × (11 - 17) ÷ 9 ] ÷ 14 ⇒ 42 ÷ 54 - [64 ÷ 48 × 3 - 15 ÷ 8 × (-6) ÷ 9 ] ÷ 14 ⇒ 7/9 - [(4/3) × 3 - 15/8 × (-2/3) ] ÷ 14 ⇒ 7/9 - [4 + 5/4] ÷ 14 ⇒ ⇒ 7/9 - [(16 + 5)/4] ÷ 14 ⇒ 7/9 - 21/4 ÷ 14 ⇒ 7/9 - 3/8 ⇒ (56 - 27)/72 ⇒ 29/72

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