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Question

Below are a number of statements: 1. Precisely one of these statements is untrue. 2. Precisely two of these statements are untrue. 3. Precisely three of these statements are untrue. 4. Precisely four of these statements are untrue. 5. Precisely five of these statements are untrue. 6. Precisely six of these statements are untrue. 7. Precisely seven of these statements are untrue. 8. Precisely eight of these statements are untrue. 9. Precisely nine of these statements are untrue. 10. Precisely ten of these statements are untrue. Which of these statements is true?

Answer

The ten statements all contradict each other. So there can be at most one statement true. Now suppose there is no statement true. That would mean that statement 10 indeed would be true, which results in a contradiction. This means that exactly nine statements must be untrue, and thus only statement 9 is true. The sequence of the number 1 11 21 1211 111221 312211 13112221 1113213211 31131211131221 ...... The successive numbers describes the ocurrence of the number in the odd digits and the number present in the even digits. Answered By: MarudhuPandian    Date: 4/3/2007 nil Answered By: karthi    Date: 4/4/2007 Statement 9 is true. It says "Precisely nine of these statements are untrue". Ot of ten statements, this is the only trues statement and the rest of the statements are false. Answered By: Venki    Date: 4/12/2008 © NewInterviewQuestions.com

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