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 II follows
B. Both I and II follow
C. Only conclusion I follows
D. Neither I nor II follows
Answer: Option D
Solution (By JKExamLibrary)
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. Some pens are not pencils.
2. All pencils are markers.
Conclusions:
I. Some pens are not markers.
II. Some markers are pencils.
Which conclusion(s) logically follow?
Explanation:
Even if some pens are not pencils, those pens could still be markers (because the marker category is larger than the pencil category). Thus, I does not follow. Since all pencils are markers, some markers are definitely pencils (II follows).
Statement:
Quality has a price tag. India is allocating plenty of funds to education.
Conclusions:
I. Quality of education in India would improve.
II. Funding alone can enhance the quality of education.
Which conclusion(s) logically follow?
Explanation:
The statement sets up a correlation between price (funds) and quality. If India is allocating funds to education, it logically follows that the intended quality would improve (I). However, the statement doesn't claim funding *alone* is sufficient without proper execution (II does not follow).
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