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Direction: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Some red are blue.
No red are black.
All black are pink.
Conclusions:
I. Some pink are black.
II. Some red are pink.
Only 1 follows
Only 2 follows
Both 1 and 2 follows
Either 1 or 2 follows
Neither 1 nor 2 follows.
- Statement 1: Some red are blue. (This means there is an intersection between the sets of red and blue.)
- Statement 2: No red are black. (This indicates there is no overlap between red and black.)
- Statement 3: All black are pink. (This implies black is entirely within pink, meaning every black is pink.)
- Conclusion I: Some pink are black. This follows directly from Statement 3. If all black are pink, then at least some pink must be black.
- Conclusion II: Some red are pink. This cannot be deduced because red has no overlap with black and black are within pink, creating no direct link between red and pink.
- Option 1: Only 1 follows. This is correct because only Conclusion I logically follows from the statements.
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