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What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?
A. x 5
B. x 3
C. x 1
D. x
E. x + 1
Correct Answer: B
Explanation/Reference:
Explanation:
Remember that consecutive odd integers are numbers that are two apart in order, like 11, 13, and 15. The average of six consecutive odd integers will be an even number. If x + 2 is the average, then this value will be at the middle of the integers if they are arranged in order. Therefore, the three consecutive odd integers smaller than this are expressed as x + 1, x 1, and x 3 in descending order. The smallest odd integer is x 3.
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