Statements: 1. Some shirts are pants. 2. Some pants are ties. Conclusions: I. Some shirts are ties. II. Some ties are shirts. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. Some shirts are pants.
2. Some pants are ties.
Conclusions:
I. Some shirts are ties.
II. Some ties are shirts.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Only conclusion II follows
C. Only conclusion I follows
D. Neither I nor II follows
Answer: Option D
Solution (By JKSSB Mock Tests)
The relationship 'some' does not chain logically. The shirts that are pants are not necessarily the pants that are ties. No relation can be established between shirts and ties. Therefore, neither conclusion follows.
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.
Explanation:
I is too absolute. II contradicts the statement; 'children love ice cream' as a general statement doesn't allow 'some may dislike' if it's a universal claim. If it's taken as all children, then II contradicts; if it's a generic statement, II still cannot be deduced. Typically in reasoning, such a statement means 'all children', so II does not follow. Neither follows.
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