Three statements are given, followed by Two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some markers are frogs.
All frogs are combs.
No comb is a stove.
Conclusions:
I. All markers being stove is a possibility.
II. Some combs are markers.
- AOnly conclusion II follows
- BNeither conclusion I nor II follows
- CBoth conclusions I and II follow
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's evaluate the statements and conclusions:
From Statements 1 and 2: "Some markers are frogs" and "All frogs are combs". This implies that the part of markers that are frogs must also be combs. Hence, Some combs are markers. Thus, Conclusion II follows.
From Statements 2 and 3: "All frogs are combs" and "No comb is a stove". This means no frog can be a stove. Since some markers are frogs, those specific markers can never be stoves. Therefore, All markers can never be stoves. Thus, Conclusion I ("All markers being stove is a possibility") is incorrect.
Hence, only conclusion II follows.
From Statements 1 and 2: "Some markers are frogs" and "All frogs are combs". This implies that the part of markers that are frogs must also be combs. Hence, Some combs are markers. Thus, Conclusion II follows.
From Statements 2 and 3: "All frogs are combs" and "No comb is a stove". This means no frog can be a stove. Since some markers are frogs, those specific markers can never be stoves. Therefore, All markers can never be stoves. Thus, Conclusion I ("All markers being stove is a possibility") is incorrect.
Hence, only conclusion II follows.