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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?
- a)The even numbered statements are true and the odd numbered are false.
- b)The first 26 statements are false and the rest are true.
- c)The first 13 statements are true and the rest are false.
- d)The odd numbered statements are true and the even numbered are false.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A sheet of paper has statements numbered from 1 to 40. For each value ...
Answer:
The 39th statement is true and the rest are false
Step-by-step explanation:
A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false? a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false
The 39th statement is true and the rest are false
This is True Statement
as this statement says Exactly 39 Statements are False
=> Except this statement all Statement are False
and all other statement says Exactly Either 1 To 38 or 40 Statements are False , Which is in fact False as Exactly 39 Statements are False
The 39th statement is true and the rest are false
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Community Answer
A sheet of paper has statements numbered from 1 to 40. For each value ...
Statement Analysis
Let's analyze each statement and determine whether it is true or false based on the given information.
Statement 1: At least 1 statement on this sheet is true.
Since we don't have any information about the truthfulness of any statements, we cannot determine the truth value of this statement.
Statement 2: At least 2 statements on this sheet are true.
Again, we don't have any information to confirm or deny this statement.
Statement 3: At least 3 statements on this sheet are true.
Similarly, we cannot determine the truth value of this statement.
Continuing this process for all statements, we can see that the truth value of each statement cannot be determined individually. However, we can make some general observations based on the given options.
Analysis of Options
Option a: The even numbered statements are true and the odd numbered are false.
If this option were true, then statement 1, which is an odd-numbered statement, would be false. However, since we cannot determine the truth value of statement 1, we cannot conclude that this option is true.
Option b: The first 26 statements are false and the rest are true.
If this option were true, then statement 1 would be false, contradicting the fact that at least one statement on the sheet is true. Therefore, this option cannot be true.
Option c: The first 13 statements are true and the rest are false.
If this option were true, then statement 1 would be true, which is consistent with the fact that at least one statement on the sheet is true. Moreover, the first 13 statements being true satisfies the condition of "At least n statements are true" for n = 1 to 13. Therefore, this option could be true.
Option d: The odd numbered statements are true and the even numbered are false.
Similar to option a, we cannot determine the truth value of statement 1, so we cannot conclude that this option is true.
Conclusion
Based on the analysis of the statements and the given options, option c is the only one that is consistent with the information provided. Therefore, the correct answer is option c: The first 13 statements are true and the rest are false.
Let's analyze each statement and determine whether it is true or false based on the given information.
Statement 1: At least 1 statement on this sheet is true.
Since we don't have any information about the truthfulness of any statements, we cannot determine the truth value of this statement.
Statement 2: At least 2 statements on this sheet are true.
Again, we don't have any information to confirm or deny this statement.
Statement 3: At least 3 statements on this sheet are true.
Similarly, we cannot determine the truth value of this statement.
Continuing this process for all statements, we can see that the truth value of each statement cannot be determined individually. However, we can make some general observations based on the given options.
Analysis of Options
Option a: The even numbered statements are true and the odd numbered are false.
If this option were true, then statement 1, which is an odd-numbered statement, would be false. However, since we cannot determine the truth value of statement 1, we cannot conclude that this option is true.
Option b: The first 26 statements are false and the rest are true.
If this option were true, then statement 1 would be false, contradicting the fact that at least one statement on the sheet is true. Therefore, this option cannot be true.
Option c: The first 13 statements are true and the rest are false.
If this option were true, then statement 1 would be true, which is consistent with the fact that at least one statement on the sheet is true. Moreover, the first 13 statements being true satisfies the condition of "At least n statements are true" for n = 1 to 13. Therefore, this option could be true.
Option d: The odd numbered statements are true and the even numbered are false.
Similar to option a, we cannot determine the truth value of statement 1, so we cannot conclude that this option is true.
Conclusion
Based on the analysis of the statements and the given options, option c is the only one that is consistent with the information provided. Therefore, the correct answer is option c: The first 13 statements are true and the rest 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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer?
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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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer?.
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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Correct answer is option 'C'. Can you explain this answer?.
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