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A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says “At least and of the statements on this sheet are true.” Which statements are true and which are false?

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A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says “At least and of the statements on this sheet are true.” Which statements are true and which are false?
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