SOLUTION: Six integers are selected from 1 to 100 in such a way that the smallest positive difference Between any two of them is as large as possible. What is this difference? (A)16 (B)

Question 290681: Six integers are selected from 1 to 100 in such a way that the smallest positive difference Between any two of them is as large as possible. What is this difference?

(A)16 (B) 17 (C) 19 (D) 20 (E) None of these. A

Found 3 solutions by richwmiller, qhdzsz , greenestamps:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
"smallest positive difference is as large as possible" makes no sense.
smallest is smallest
smallest is not largest

Answer by qhdzsz (1)   (Show Source): You can put this solution on YOUR website!
A
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

To new tutor @ghdzsz...

Some comments, in case you are serious about helping students learn math....

(1) An answer with no work shown is a disservice to the student; it doesn't help him learn anything. Include something in your response that tells the student HOW to solve the problem.

(2) Your answer is not right. Apparently your answer is based on dividing the number line from 1 to 100 into six segments, with the smallest segment as large as possible. But 6 numbers divide the number line from 1 to 100 into FIVE segments, not six....

Please edit your response....

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