Question

Average of four numbers is 16. Sum of smallest and largest number is 45. If difference between other two numbers is 1, then find the square of second smaller number.

A 81 Correct Answer Incorrect Answer
B 225 Correct Answer Incorrect Answer
C 361 Correct Answer Incorrect Answer
D 196 Correct Answer Incorrect Answer

Solution

Let four numbers in increasing order is a, b, c and d. => a + b + c + d = 4 x 16 = 64 => a + d = 45 => b + c = 19 According to question, => c – b = 1 => b = 9, c = 10 => b² = 81

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