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Three statements All A-B, All B-C, No C-D: which conclusions follow

This type of question, asked 3 times: 10 Sep 2024 S2, 24 Sep 2024 S1, 26 Sep 2024 S1. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 Sep 2024 S2

    24
    Three statements are given, followed by three conclusions numbered I, II and III. 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: No bench is chair. All sofas are benches. All tables are sofas. Conclusions: I. No table is a chair. II. Some sofas are chairs. III. All tables are benches.

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  2. Question 2

    24 Sep 2024 S1

    17
    Three statements are given, followed by three conclusions numbered I, II and III. 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: All spoons are forks. All forks are knives. No knife is a spatula. Conclusions: I. Some knives are spoons. II. No fork is a spatula. III. Some spoons are spatulas.

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  3. Question 3

    26 Sep 2024 S1

    7
    In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: All red are green. All green are pink. No pink is blue. Conclusions: I. No green is blue. II. Some blue are red.

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