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If a is a positive whole number, is b also a positive whole

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If a is a positive whole number, is b also a positive whole number?

(1) The average (arithmetic mean) of a, b + 2, and a - 5 is a.

(2) The average (arithmetic mean) of a and b is NOT a positive whole number.

[Reveal] Spoiler:
Shouldn't it be D? Can someone provide detailed analysis with examples. Thanks in advance!

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