Directions : In the questions below are given two conclusions followed...
Given conclusions:
1. Some B is E.
2. Some J is F.
Statements:
a) All F is B. Some B is C. All C is D. All D is E. Some E is J.
b) Some F is B. All B is C. Some C is D. All D is E. Some E is J.
c) Some F is E. All E is D. Some D is B. All B is C. All C is J.
d) All F is E. Some F is J. All J is B. Some B is D. All D is C.
e) None of these.
Explanation:
To satisfy the given conclusions, we need to find a set of statements that can prove the existence of at least some B being E and some J being F.
Analysis of statements:
a) All F is B. Some B is C. All C is D. All D is E. Some E is J.
In this set, we have All F is B, which means every F is B. But the conclusion states that Some B is E, not all B is E. Hence, this set does not satisfy the first conclusion. Also, there is no statement that directly connects J and F, so the second conclusion is not satisfied either.
b) Some F is B. All B is C. Some C is D. All D is E. Some E is J.
In this set, we have Some F is B, which satisfies the first conclusion. Also, Some E is J satisfies the second conclusion. Therefore, this set satisfies both conclusions.
c) Some F is E. All E is D. Some D is B. All B is C. All C is J.
In this set, there is no statement that directly connects B and E, so the first conclusion is not satisfied. Also, there is no statement that directly connects J and F, so the second conclusion is not satisfied either.
d) All F is E. Some F is J. All J is B. Some B is D. All D is C.
In this set, All F is E satisfies the first conclusion. Also, Some F is J satisfies the second conclusion. Therefore, this set satisfies both conclusions.
e) None of these.
Since option d) satisfies both conclusions, the correct answer is option d).
Conclusion:
The set of statements that logically satisfies both conclusions is option d).