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Given below are four statements
Statement 1 : All students are inquisitive
Statement 2 : Some students are inquisitive
Statement 3 : No students are inquisitive
Statement 4 : Some students are not inquisitive
For the given four statements, find the statements what cannot be true, simultaneously, assuming that there is at least one student in the class
Statement 1 : All students are inquisitive
Statement 2 : Some students are inquisitive
Statement 3 : No students are inquisitive
Statement 4 : Some students are not inquisitive
For the given four statements, find the statements what cannot be true, simultaneously, assuming that there is at least one student in the class
- a)Statement 1 and Statement 3
- b)Statement 3 and Statement 4
- c)Statement 2 and Statement 4
- d)Statement 1 and Statement 2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Given below are four statementsStatement 1 : All students are inquisit...
As in the question, it is asked that statements that can not be true simultaneously
After making the venn diagram it is clearly visible that statement 1 and statement 3 cannot be possible simultaneously only one can possibly be happen at a time.
After making the venn diagram it is clearly visible that statement 1 and statement 3 cannot be possible simultaneously only one can possibly be happen at a time.
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Given below are four statementsStatement 1 : All students are inquisit...
Explanation:
To determine which statements cannot be true simultaneously, we need to analyze the statements one by one and check for any contradictions.
Statement 1: All students are inquisitive
This statement implies that every student in the class is inquisitive. It does not leave any room for the possibility that there might be students who are not inquisitive.
Statement 2: Some students are inquisitive
This statement implies that at least one student in the class is inquisitive. It allows for the possibility that there may be students who are not inquisitive.
Statement 3: No students are inquisitive
This statement contradicts Statement 2. If no student in the class is inquisitive, then it cannot be true that some students are inquisitive. Therefore, Statement 3 cannot be true simultaneously with Statement 2.
Statement 4: Some students are not inquisitive
This statement implies that there are at least some students in the class who are not inquisitive. It does not contradict any of the other statements.
Analysis:
Based on the analysis of the statements, we can conclude the following:
- Statement 1 (All students are inquisitive) and Statement 3 (No students are inquisitive) cannot be true simultaneously because they contradict each other. If all students are inquisitive, then it cannot be true that no students are inquisitive.
- Statement 3 (No students are inquisitive) and Statement 4 (Some students are not inquisitive) can be true simultaneously. If no students are inquisitive, it is possible that some students are not inquisitive.
- Statement 2 (Some students are inquisitive) and Statement 4 (Some students are not inquisitive) can be true simultaneously. If there are at least some students who are inquisitive, it is also possible that there are some students who are not inquisitive.
Conclusion:
Based on the analysis, the statements that cannot be true simultaneously are Statement 1 (All students are inquisitive) and Statement 3 (No students are inquisitive). Therefore, the correct answer is option A.
To determine which statements cannot be true simultaneously, we need to analyze the statements one by one and check for any contradictions.
Statement 1: All students are inquisitive
This statement implies that every student in the class is inquisitive. It does not leave any room for the possibility that there might be students who are not inquisitive.
Statement 2: Some students are inquisitive
This statement implies that at least one student in the class is inquisitive. It allows for the possibility that there may be students who are not inquisitive.
Statement 3: No students are inquisitive
This statement contradicts Statement 2. If no student in the class is inquisitive, then it cannot be true that some students are inquisitive. Therefore, Statement 3 cannot be true simultaneously with Statement 2.
Statement 4: Some students are not inquisitive
This statement implies that there are at least some students in the class who are not inquisitive. It does not contradict any of the other statements.
Analysis:
Based on the analysis of the statements, we can conclude the following:
- Statement 1 (All students are inquisitive) and Statement 3 (No students are inquisitive) cannot be true simultaneously because they contradict each other. If all students are inquisitive, then it cannot be true that no students are inquisitive.
- Statement 3 (No students are inquisitive) and Statement 4 (Some students are not inquisitive) can be true simultaneously. If no students are inquisitive, it is possible that some students are not inquisitive.
- Statement 2 (Some students are inquisitive) and Statement 4 (Some students are not inquisitive) can be true simultaneously. If there are at least some students who are inquisitive, it is also possible that there are some students who are not inquisitive.
Conclusion:
Based on the analysis, the statements that cannot be true simultaneously are Statement 1 (All students are inquisitive) and Statement 3 (No students are inquisitive). Therefore, the correct answer is option A.
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Given below are four statementsStatement 1 : All students are inquisitiveStatement 2 : Some students are inquisitiveStatement 3 : No students are inquisitiveStatement 4 : Some students are not inquisitiveFor the given four statements, find the statements what cannot be true, simultaneously, assuming that there is at least one student in the classa)Statement 1 and Statement 3b)Statement 3 and Statement 4c)Statement 2 and Statement 4d)Statement 1 and Statement 2Correct answer is option 'A'. Can you explain this answer?
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