Statements: 1. No lock is a key. 2. No key is a door. Conclusions: I. All locks are doors. II. Some doors are locks. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. No lock is a key.
2. No key is a door.
Conclusions:
I. All locks are doors.
II. Some doors are locks.
Which conclusion(s) logically follow?
A. Only conclusion I follows
B. Neither I nor II follows
C. Both I and II follow
D. Only conclusion II follows
Answer: Option B
Solution (By JKSSB Mock Tests)
Two negative premises yield no positive conclusion between the unconnected terms (locks and doors). They might overlap, or they might not. Neither conclusion is definite.
Statements:
1. No dog is a cat.
2. All cats are lions.
Conclusions:
I. No dog is a lion.
II. Some lions are not dogs.
Which conclusion(s) logically follow?
Explanation:
All cats are lions, and no dog is a cat. This means dogs cannot enter the 'cat' portion of the 'lion' circle. Therefore, those lions which are cats are definitely not dogs (Conclusion II). However, dogs could still overlap with the non-cat portion of lions, so Conclusion I does not follow.
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