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    In the following question below the given some statements followed by some conclusions based on those statements. Taking the given statements to be tr
    Question

    In the following question below the given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.
    Statements:
    I. All A are R.
    II. All R are C.
    Conclusions:
    I. All R are C.
    II. Some R are A.
    III. No C is R.

    A.

    All conclusion follows

    B.

    Both conclusions II and III follows

    C.

    Both conclusions I and III follows

    D.

    Both conclusions I and II follows

    Correct option is D

    From the given information following Venn diagram will be drawn- 
    Conclusion I: All R are C.
    ·       This conclusion directly follows from Statement II, which states that "All R are C." Conclusion I follows.
    Conclusion II: Some R are A.
    ·       This conclusion also follows because Statement I states "All A are R," which implies that there is an overlap between R and A. Hence, some R are indeed A. Conclusion II follows.
    Conclusion III: No C is R.
    ·       This conclusion does not follow because Statement II clearly states "All R are C." This implies there is a relationship between C and R, and we cannot conclude that no C is R. In fact, all R are part of C, which directly contradicts this conclusion. Conclusion III does not follow.
    The correct answer is that only Conclusions I and II follow.
    Answer: (d) Only Conclusions I and II follow.

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