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4 votes

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 $\text{CANNOT BE TRUE}$ 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 $4$

2 votes

Given below are four statements. We can draw the Venn diagram for each of them.

- 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.

We can clearly see ${\color{Blue}{\text{statement 1, and statement 3}}}$ can not be possible at the same time.

Correct Answer $:\text{A}$