Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some apples are oranges.
No orange is a grape.
Conclusions:
I. Some grapes are apples.
II. Some oranges are apples.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some grapes are apples – From the above diagram, it is clear that there is no direct relation between the circles of apples and grapes. The circles of both are independent doesn't define any relation. So, this conclusion doesn't follow.
Conclusion II:
Some oranges are apples – From the above diagram, it is clear that the circles of apples and oranges overlap some parts of both are part of each other so some oranges are apples are true and this conclusion follows.
So, only the conclusion II follows. Hence, the first option is correct.
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