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.
(A)
Statement 1 and Statement 3
(B)
Statement 1 and Statement 2
(C)
Statement 2 and Statement 4
(D)
Statement 3 and Statement 4
Answer: (A)
Explanation:
The following statements can be easily understood with the Venn diagram
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 above diagram, it is clear that Statement 1 and Statement 3 are conflicting statements and both cannot be true at a time.
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