Question
The average of five consecutive odd numbers is 37. What
is the product of the largest and smallest numbers in the series?Solution
Let the numbers be x, x+2, x+4, x+6, x+8. Average = (x + x+2 + x+4 + x+6 + x+8)/5 = 37. Total = 5x + 20 = 185. x = 33. Numbers are 33, 35, 37, 39, 41. Product of largest and smallest = 33 × 41 = 1353. Correct option: b
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