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Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some boxes are white. Some cuboids are boxes. All cuboids are black. Conclusions: I. Some cuboids are white. II. Some boxes are black. III. No box is black. IV. Some boxes are cuboids.

Three statements are given, followed by four conclusions numbered I, II, III and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some boxes are white. Some cuboids are boxes. All cuboids are black. Conclusions: I. Some cuboids are white. II. Some boxes are black. III. No box is black. IV. Some boxes are cuboids. Correct Answer Only conclusions II and IV follow

The least possible venn diagram is:

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I. Some cuboids are white → False (as all cuboids are black)

II. Some boxes are black → True (as some boxes are cuboids & all cuboids are black)

III. No box is black → False (as some boxes are cuboids & all cuboids are black)

IV. Some boxes are cuboids → True (as some cuboids are boxes)

Hence, ‘only conclusions II and IV follow’ is the correct answer.

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