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答案：B
解析：
If b=0 and a=5, then (|a|)-(|b|)=(|5|)-(|0|)=5. Hence if (|a|)-(|b|)=5, it could be true that b=0.
If (|a|)-(|b|)=5, none of the other four statements could be true:
If a=0, then (|a|)-(|b|)=0-(|b|)=-(|b|). However, since (|b|) is greater than or equal to 0, there is no value of b for which -(|b|)=5.
If a=b, then (|a|)-(|b|)=(|a|)-(|a|)=0 does not equal 5.
If a=-b, then (|a|)-(|b|)=(-|b|)-(|b|)=(|b|)-(|b|)=0 does not equal 5.
If a=1, then (|a|)-(|b|)=(absolute value of 1)-(|b|)=1-(|b|). However, since (|b|) is greater than or equal to 0, there is no value of b for which 1-(|b|)=5.
