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 houses are trees.
All flowers are houses.
No vegetable is a flower.
Conclusions:
(I) Some vegetables are house is a possibility.
(II) Some flowers are tree is a possibility.
(III) No vegetable is a house.
Option 1: Both conclusions II and III follow
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion III follows
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Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some vegetables are house is a possibility
–
It is a possibility that some parts of the circle representing vegetables overlap the circle that represents houses. But this is not definite. So, it can be concluded that s
ome vegetables are houses is a possibility.
Conclusion (II):
Some flowers are tree is a possibility
–
It is a possibility that some parts of the circle representing flowers overlap the circle that represents trees. But this is not definite. So, it can be concluded that s
ome flowers are trees is a possibility.
Conclusion (III):
No vegetable is a house
– From the Venn diagram, it is evident that no flowers are vegetables. But there is a possibility that the part of the circle representing houses that lie outside the circle representing flowers can be vegetables. So, this conclusion does not follow.
So, b oth conclusions I and II follow . Hence the third option is correct.
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