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In the following question, some statements are given followed by four conclusions. You have to take the given statements to be true even if they varies from commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the commonly known facts. Statements: All squares are circles. Some rectangles are circles. Some triangles are rectangles. All triangles are hexagons. Conclusions: I. Some triangles are circles. II. Some rectangles are hexagons. III. Some triangles are both rectangles and circles. IV. Some squares are hexagons.

In the following question, some statements are given followed by four conclusions. You have to take the given statements to be true even if they varies from commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the commonly known facts. Statements: All squares are circles. Some rectangles are circles. Some triangles are rectangles. All triangles are hexagons. Conclusions: I. Some triangles are circles. II. Some rectangles are hexagons. III. Some triangles are both rectangles and circles. IV. Some squares are hexagons. Correct Answer Only conclusion II follows

The least possible Venn diagram for the given conditions :

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I. Some triangles are circles → False (it is possible but not definite)

II. Some rectangles are hexagons → True (as, some rectangles are circles, some triangles are rectangles and all triangles are hexagons)

III. Some triangles are both rectangles and circles →  False (it is possible but not definite)

IV. Some squares are hexagons →  False (it is possible but not definite)

Hence, only conclusion II follows.

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