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A sheet of paper has statements numbered from 1 to 100. Statement N says 'Exactly N of the statements on this sheet are false.' How many statements are true?
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Find the least number which when divided by 35, leaves remainder 25; when divided by 45, leaves remainder 35 and when divided by 55, leaves remainder 45.
The answer is LCM of (35, 45, 55) minus 10.LCM of (35, 45, 55) is 3465.Hence, the answer is 3455.