Question

Select the correct option about conclusion(s) drawn from the given statements.

Statements:

1) No gentleman is poor.
2) All gentlemen are rich.
Conclusions:

1) No poor man is rich.
2) No rich man is poor.

• A. Only conclusion 1 follows
• B. Only conclusion 2 follows
• C. Neither the conclusion 1 nor 2 follows
• D. Both the conclusion follows.

Answer 1

Answer: (C)

Neither the conclusion 1 nor 2 follows

From the figure, we can say that neither the conclusion $1$ nor $2$ follows the statements. this is because the Venn diagram can be any one of the two shown in case $1$ and case $2$. Both these Venn diagrams satisfy the conditions, but none of the conclusions are true in both cases simultaneously.