Exams › GATE › General Aptitude
Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.
- Statement 1 and Statement 3
- Statement 1 and Statement 2
- Statement 2 and Statement 4
- Statement 3 and Statement 4
Correct answer: Statement 1 and Statement 3
Solution
Statement 1 asserts that all students are inquisitive, while Statement 3 claims that no student is inquisitive. These two statements directly contradict each other, making it impossible for both to be true at the same time.
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