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 hockey are bats.
All bats are racquets.
No stick is a racquet.
Conclusions:
I. Some sticks are bats.
II. Some sticks are hockey is a possibility.
III. All hockey are racquets.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Both conclusions II and III follow
Option 4: Only conclusion I follows
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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 sticks are bats – From the Venn diagram, it is evident that there is a negative relation between sticks and bats. So, it can be concluded that no sticks are bats.
Conclusion (II):
Some sticks are hockey is a possibility – It is a possibility that the circle representing hockey overlaps the circle representing sticks. So, this conclusion follows.
Conclusion (III):
All hockey are racquets – From the Venn diagram, it is evident that only some part of the circle representing hockey is overlapped by the circle representing racquets. So, it can be concluded that only some hockey are racquets.
From the above, the only conclusion II follows. Hence the first option is correct.
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