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Question

In each of these questions, two Conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide that the Conclusions logically follows for which of the given statements disregarding commonly known facts.

Conclusions:All bats being balls is a possibility. Some balls can be umpires.

A Some umpires are scores. No score is a bat. Only score is ball Correct Answer Incorrect Answer
B No umpire is a score. All scores are bats. Only bat is ball. Correct Answer Incorrect Answer
C No umpire is a score. Some scores are bats. All balls are scores. Correct Answer Incorrect Answer
D No umpire is a score. All scores are bats. Only a few balls are scores Correct Answer Incorrect Answer
E None of the above Correct Answer Incorrect Answer

Solution

1) Only score is ball → ball cannot have any relation with anyone. Hence neither conclusion I nor II follow. Hence option 1 is not correct. 2) Only score is ball → ball cannot have any relation with anyone. Hence neither conclusion I nor II follow. Hence option 2 is not correct. 3) All balls are scores (A) + Some scores are bats (I) → All bat may be balls (A). Hence conclusion I follows. All balls are scores (A) + [No umpire is a score (E) → Conversion] → No score is a umpire (E) → No ball is a umpire (E). Hence conclusion II does not follow. Hence option 3 is not correct. 4) Some balls are scores (I) + All scores are bats (A) → Some balls are bats (I) → Probable conclusion → All bats may be balls (A). Hence conclusion I follows. Some balls are scores (I) + [No umpire is a score (E) → Conversion] → No score is an umpire (E) → Some balls are not umpires (O) → Probable conclusion → Some balls can be umpires (I). Hence conclusion II follows. Hence option 4 is correct.

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