Three statements are given followed by three conclusions numbered I, II and III. You have to take these statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions logically follows from the given statements.
Statements:
All biscuits are candy.
All candies are chocolates.
All chocolates are snacks.
Conclusions:
(I) All chocolates are biscuits.
(II) Some snacks are candy.
(III) All snacks are chocolates.
- AConclusions I, II and III follow.
- BOnly conclusion II follows.
- COnly conclusion I follows.
- DEither conclusion I or conclusion III follows
Solution & Step-by-step Explanation
Let's analyze the statements using Venn diagrams or logical relations:
All biscuits ⊂ candy
All candies ⊂ chocolates
All chocolates ⊂ snacks
This gives a nested relationship: Biscuits ⊂ Candy ⊂ Chocolates ⊂ Snacks.
Now evaluate the conclusions:
Conclusion I: All chocolates are biscuits. → False, because biscuits are a subset of chocolates, not vice-versa.
Conclusion II: Some snacks are candy. → True, since all candies are inside snacks, the overlapping region represents that some snacks are definitely candies.
Conclusion III: All snacks are chocolates. → False, snacks is the outermost set, so all chocolates are snacks, but all snacks are not necessarily chocolates.
Therefore, only conclusion II follows.
All biscuits ⊂ candy
All candies ⊂ chocolates
All chocolates ⊂ snacks
This gives a nested relationship: Biscuits ⊂ Candy ⊂ Chocolates ⊂ Snacks.
Now evaluate the conclusions:
Conclusion I: All chocolates are biscuits. → False, because biscuits are a subset of chocolates, not vice-versa.
Conclusion II: Some snacks are candy. → True, since all candies are inside snacks, the overlapping region represents that some snacks are definitely candies.
Conclusion III: All snacks are chocolates. → False, snacks is the outermost set, so all chocolates are snacks, but all snacks are not necessarily chocolates.
Therefore, only conclusion II follows.