Discussion
The average of 4 consecutive odd numbers is 18. Then the product of the largest and smallest numbers among them is :
Answer: C
The product is 315.
Four consecutive odd numbers are evenly spaced by 2, so their average lies midway between the second and third. With average 18, those two are 17 and 19, and the four numbers are 15, 17, 19 and 21.
\[ 15 \times 21 = 315 \]
Check: (15 + 17 + 19 + 21)/4 = 72/4 = 18. 187 = 11 × 17, 247 = 13 × 19 and 391 = 17 × 23 are products of other pairs of odd numbers that do not fit the average.
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