Question

Find the conclusions which can be concluded from given statements

Statement. I - All cakes are ice creams.
Statement. II - All ice creams are pizzas.
Conclusion A - All cakes are pizzas.
Conclusion B - All pizzas are ice creams.

• A. If only conclusion 'A' follows.
• B. If only conclusion 'B' follows.
• C. If either 'A' or 'B' follows.
• D. If neither 'A' nor 'B' follows.

Answer 1

The correct option is A If only conclusion 'A' follows.

Since both the statements are affirmative, the conclusions must be affirmative (rule 8). Further, in conclusion A the term 'cakes' is distributed and in statement I also this term is distributed. So, conclusion A follows.
Conclusion B is an immediate inference drawn from statement II. The term 'pizzas'.is distributed in conclusion B and it is not distributed in any of the premises. So, conclusion B does not follow.
Analysis with Venn diagram.
From the above diagram, we notice that all cakes are pizzas, but all pizzas are not ice creams. Hence,only conclusion A follows.