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    Question

    Statement: Atmost some circles are spheres

    Only a few triangle are circle.      Some triangles are spheres. No triangle is rhombus.      Conclusions: i. All triangles can be spheres.    ii. Some spheres are not rhombus is a possibility.    iii. Some circles are not rhombus. iv. All rhombus are not spheres is a possibility.   In each of the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. 
    A Only II follow Correct Answer Incorrect Answer
    B Only IV follow Correct Answer Incorrect Answer
    C Only I and III follows Correct Answer Incorrect Answer
    D Only I, III and IV follows Correct Answer Incorrect Answer
    E All follows Correct Answer Incorrect Answer

    Solution

    Some triangle are sphere (I) → Probable conclusion → All triangle can be sphere (A). Hence conclusion I follows. Some triangle are sphere (I) → Conversion → Some sphere are triangle (I) + No triangle is rhombus (E) → Some sphere are not rhombus (O). Hence conclusion II does not follow. No triangle is rhombus (E) → Conversion → No rhombus is triangle (E) + Some triangles are circles (I) → Some circle are not rhombus (O*). Hence conclusion III follows. Some triangle are sphere (I) → Conversion → Some sphere are triangle (I) + No triangle is rhombus (E) → Some sphere are not rhombus (O) → Probable conclusion → All rhombus may not be sphere (O). Hence conclusion IV follows. Alternate Method -

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