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      Question

      Average of four numbers is 21. Sum of smallest and

      largest number is 53. If difference between other two numbers is 1, then find the square of second smaller number.
      A 81 Correct Answer Incorrect Answer
      B 196 Correct Answer Incorrect Answer
      C 225 Correct Answer Incorrect Answer
      D 64 Correct Answer Incorrect Answer
      E 49 Correct Answer Incorrect Answer

      Solution

      Let four numbers in increasing order is a, b, c and d. => a + b + c + d = 4 x 21 = 84 => a + d = 53 => b + c = 31 According to question, => c – b = 1 => b = 15, c = 16 => b² = 225

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