Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. 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: I. All keys are locks. II. No door is a lock. Conclusions: I. Some locks are doors. II. Some locks are keys. III. No key is a door.
Option 1: Both conclusions I and II follow
Option 2: Conclusions I, II, and III follow
Option 3: Both conclusions II and III follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some locks are doors – From the Venn diagram, it is evident that there is a negative relation between lock and door. Thus, this conclusion does not follow. Conclusion (II): Some locks are keys – From the Venn diagram, it is evident that some parts of the circle representing the lock lie inside the circle representing the door while some lie outside. Thus, it can be concluded that some locks are keys. Conclusion (III): No key is a door – Since no lock is a door and the key is a part of the lock. Thus, it can be concluded that no key is a door.
So, both conclusions II and III follow. Hence, the third option is correct.
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Question : Directions: Two statements are given followed by three conclusions numbered I, II, and III. 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
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. 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
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