Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All balloons are mangoes. All balloons are foams. Conclusions: (I): Some mangoes are foams. (II): All foams are balloons.

• A. Both conclusions (I) and (II) follow.
• B. Only conclusion (II) follows.
• C. Only conclusion (I) follows.
• D. Neither conclusion (I) nor (II) follows.

Answer 1

Answer:

C. Only conclusion (I) follows.

Only conclusion (I) follows.

Statements:

1. All balloons are mangoes: This means the entire category of "balloons" is contained inside the category of "mangoes".

2. All balloons are foams: This means the entire category of "balloons" is also contained inside the category of "foams".

Evaluating Conclusions:

• (I): Some mangoes are foams: True. Since all balloons are mangoes and all balloons are foams, the balloons create an overlapping middle ground between mangoes and foams. Therefore, at least some mangoes are definitely foams.

• (II): All foams are balloons: False. We only know that all balloons are inside foams, but the entire circle of foams does not necessarily have to fit inside balloons (there could be foams that are not balloons).