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 statements.
Statements:
All apples are oranges.
Some oranges are bananas.
All bananas are kiwis.
Conclusions:
I. Some oranges are kiwis.
II. Some oranges are apples.
III. Some apples are bananas.
- AOption (a)
Only conclusions II and III follow
- BOption (b)
Only conclusions I and II follow
- COption (c)
All conclusions follow
- DOption (d)
Only conclusion III follows
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Correct answer
Only conclusions I and II follow
Why this answer is correct
Statements:
All apples are oranges.
Some oranges are bananas.
All bananas are kiwis.
The Venn diagram as per the given statements:
Conclusions:
I. Some oranges are kiwis. → True (Because some oranges are bananas and all bananas are kiwis, which means some oranges are kiwis is definitely true)
II. Some oranges are apples. → True (Because all apples are oranges, which means some oranges are apples is definitely true)
III. Some apples are bananas. → False (There is no direct relation between apples and bananas, so it can be possible but not definitely true)
Hence, the correct answer is "Only conclusions I and II follow".
