Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider the following two statements.S1: If ...
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Consider the following two statements.
S1: If a candidate is known to be corrupt, then he will not be elected.
S2: If a candidate is kind, he will be elected.
S2: If a candidate is kind, he will be elected.
Q.
Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?
Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?
- a)If a person is known to be corrupt, he is kind
- b)If a person is not known to be corrupt, he is not kind
- c)If a person is kind, he is not known to be corrupt
- d)If a person is not kind, he is not known to be corrupt
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Consider the following two statements.S1: If a candidate is known to b...
S1: If a candidate is known to be corrupt, then he will not be elected.
S2: If a candidate is kind, he will be elected. If p → q, then ¬q → ¬p
So from S1, elected → not corrupt
and S2 is, kind → elected
Therefore, kind → not corrupt
S2: If a candidate is kind, he will be elected. If p → q, then ¬q → ¬p
So from S1, elected → not corrupt
and S2 is, kind → elected
Therefore, kind → not corrupt
Most Upvoted Answer
Consider the following two statements.S1: If a candidate is known to b...
Understanding the Statements
The two statements provided can be analyzed as follows:
- S1: If a candidate is known to be corrupt, then he will not be elected.
- S2: If a candidate is kind, he will be elected.
Logical Implications
From these statements, we can derive the following implications:
- From S1, if a candidate is corrupt, they cannot be elected. This implies that being corrupt is a barrier to election.
- From S2, kindness is a positive trait that leads to election.
Analyzing the Options
Now, let's evaluate the provided options based on these implications:
- a) If a person is known to be corrupt, he is kind.
- This is not valid as corruption and kindness are mutually exclusive according to S1 and S2.
- b) If a person is not known to be corrupt, he is not kind.
- This is incorrect; a person can be neither corrupt nor kind.
- c) If a person is kind, he is not known to be corrupt.
- This follows logically. If kindness leads to election (S2), and corruption prevents election (S1), a kind person cannot be corrupt.
- d) If a person is not kind, he is not known to be corrupt.
- This is not a valid inference; a person can be unkind yet corrupt.
Conclusion
Thus, the correct answer is:
c) If a person is kind, he is not known to be corrupt.
This conclusion aligns with the logic that kindness is associated with election, while corruption is linked to non-election.
The two statements provided can be analyzed as follows:
- S1: If a candidate is known to be corrupt, then he will not be elected.
- S2: If a candidate is kind, he will be elected.
Logical Implications
From these statements, we can derive the following implications:
- From S1, if a candidate is corrupt, they cannot be elected. This implies that being corrupt is a barrier to election.
- From S2, kindness is a positive trait that leads to election.
Analyzing the Options
Now, let's evaluate the provided options based on these implications:
- a) If a person is known to be corrupt, he is kind.
- This is not valid as corruption and kindness are mutually exclusive according to S1 and S2.
- b) If a person is not known to be corrupt, he is not kind.
- This is incorrect; a person can be neither corrupt nor kind.
- c) If a person is kind, he is not known to be corrupt.
- This follows logically. If kindness leads to election (S2), and corruption prevents election (S1), a kind person cannot be corrupt.
- d) If a person is not kind, he is not known to be corrupt.
- This is not a valid inference; a person can be unkind yet corrupt.
Conclusion
Thus, the correct answer is:
c) If a person is kind, he is not known to be corrupt.
This conclusion aligns with the logic that kindness is associated with election, while corruption is linked to non-election.
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Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer?
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Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer?.
Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following two statements.S1: If a candidate is known to be corrupt, then he will not be elected.S2: If a candidate is kind, he will be elected.Q.Which one of the following statements follows from S1 and S2 as per sound inference rules of logic?a)If a person is known to be corrupt, he is kindb)If a person is not known to be corrupt, he is not kindc)If a person is kind, he is not known to be corruptd)If a person is not kind, he is not known to be corruptCorrect answer is option 'C'. Can you explain this answer?.
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