Question : Directions: Consider the given statements to be true and decide which of the given conclusions can be drawn from the given statements.
Statements:
All fruits are leaves.
Some fruits are grapes.
Conclusions:
I. Some leaves are grapes.
II. All grapes are fruits.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some leaves are grapes – From the Venn diagram, it is evident that the circles representing leaves and grapes overlap each other and have a part of their area in common. So, from this, it can be concluded that some leaves are grapes. Therefore, this conclusion follows.
Conclusion (II):
All grapes are fruits – From the Venn diagram, it is evident that the circles representing fruits and grapes overlap each other and have a part of their area in common. So, from this, it can be concluded that some grapes are fruits. Therefore, this conclusion does not follow.
So, the only conclusion I follows. Hence, the first option is correct.
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