Read the Conclusions and then decide which of the given Conclusions logically follow(s) from the two given Statements:
Statements:
I. All pizzas are toppings.
II. No topping is tasty.
Conclusions:
I. All pizzas are tasty.
II. No pizza is tasty.
- AOnly Conclusion I follows.
- BNeither Conclusion I nor Conclusion II follows.
- CBoth Conclusion I and Conclusion II follow.
- DOnly Conclusion II follows.
Solution & Step-by-step Explanation
Let's analyze using Venn diagrams or standard logical deductions:
From Statement I, all pizzas are fully contained inside the category of toppings ().
From Statement II, there is absolutely no intersection between toppings and tasty ().
Since all pizzas are a part of toppings, and no topping can be tasty, it follows with absolute logical certainty that no pizza can be tasty ().
Now evaluate the conclusions:
* Conclusion I: "All pizzas are tasty" False.
* Conclusion II: "No pizza is tasty" True.
Therefore, only Conclusion II follows.
From Statement I, all pizzas are fully contained inside the category of toppings ().
From Statement II, there is absolutely no intersection between toppings and tasty ().
Since all pizzas are a part of toppings, and no topping can be tasty, it follows with absolute logical certainty that no pizza can be tasty ().
Now evaluate the conclusions:
* Conclusion I: "All pizzas are tasty" False.
* Conclusion II: "No pizza is tasty" True.
Therefore, only Conclusion II follows.