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      Question

      Average 20 numbers is ‘x’. If the average of first

      12 numbers is 62.5 while average of last 5 numbers is 74.8 and 13th, 14th and 15th numbers are (2x - 33), (4x + 54) and 178 respectively. Find the 14th number.
      A 148.5 Correct Answer Incorrect Answer
      B 147 Correct Answer Incorrect Answer
      C 152.6 Correct Answer Incorrect Answer
      D 131 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to question, => 20x = 62.5 × 12 + 74.8 × 5 + 2x – 33 + 4x + 54 + 178 => 14x = 1323 => x = 94.5   Therefore, 14th number = 4 × 94.5 + 54 = 148.5

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