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 from the statements.
Statements:
Some Toys are Dolls.
All Dolls are Beautiful.
All Cars are Toys.
Conclusions:
I. All Cars are Beautiful.
II. Some Toys are Beautiful.
- AOnly conclusion II follows.
- BOnly conclusion I follows.
- CNeither conclusion I nor II follows.
- DBoth conclusions I and II follow.
Solution & Step-by-step Explanation
Let's evaluate the conclusions based on the premises:
From statement 1 and statement 2: "Some Toys are Dolls" + "All Dolls are Beautiful" ⟹ "Some Toys are Beautiful". Therefore, Conclusion II logically follows.
Statement 3 tells us "All Cars are Toys". There is no direct relation given between Cars and Dolls, or Cars and Beautiful. Hence, "All Cars are Beautiful" cannot be definitely concluded. Thus, Conclusion I does not follow.
From statement 1 and statement 2: "Some Toys are Dolls" + "All Dolls are Beautiful" ⟹ "Some Toys are Beautiful". Therefore, Conclusion II logically follows.
Statement 3 tells us "All Cars are Toys". There is no direct relation given between Cars and Dolls, or Cars and Beautiful. Hence, "All Cars are Beautiful" cannot be definitely concluded. Thus, Conclusion I does not follow.