The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :

A 4

B 8

C 14

D 18

Solution

Correct Answer: Option B

Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.

Then  [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.

or 5x + 20 = 305 or x = 57.

So, required difference = (57 + 8) - 57  = 8

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