The question contains some statements followed by some conclusions. Decide…
2025
The question contains some statements followed by some conclusions. Decide which of the given conclusions logically follow from the given statements, disregarding commonly known facts.
Statements
P: Some bags are hot.
Q: All hots are cakes.
Conclusions
I. All cakes are bags.
II. Some bags are cakes.
- A.
Only conclusion I follows.
- B.
Only conclusion II follows.
- C.
Neither I nor II follows.
- D.
Both I and II follow.
Attempted by 85 students.
Show answer & explanation
Correct answer: B
Answer: Only conclusion II (Some bags are cakes) follows.
Reasoning:
From 'Some bags are hot' we know there exists at least one object that is both a bag and hot.
From 'All hots are cakes' every hot is a cake, so that same object (which is hot and a bag) is also a cake.
Therefore there exists an object that is both a bag and a cake, which means 'Some bags are cakes' (conclusion II) follows.
Conclusion I, 'All cakes are bags', does not follow because the statements do not say that every cake is a bag; they only relate hots to cakes and some bags to hots.