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Two statements are given followed by four conclusions I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements. Statements: A. Some spoons are forks. B. Some forks are mats. Conclusions: I. No spoon is a mat. II. Some mats are forks. III. Some mats are spoons. IV. No fork is a spoon.

Two statements are given followed by four conclusions I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements. Statements: A. Some spoons are forks. B. Some forks are mats. Conclusions: I. No spoon is a mat. II. Some mats are forks. III. Some mats are spoons. IV. No fork is a spoon. Correct Answer Only conclusion II and either conclusion I or III follow.

The least possible Venn diagram is:

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Conclusions:

I. No spoon is a mat. → False (As, there is no definite relation between spoon and mat. Hence, false)

II. Some mats are forks. → True (As, it is given some forks are mats)

III. Some mats are spoons. → False  (As, there is no definite relation between spoon and mat. Hence, false)

IV. No fork is a spoon. → False  (As, it is given some spoons are forks → some fork is spoon)

As conclusion I and III forms a complementary pair, so either conclusion I or III follow.

Hence, only conclusion II and either conclusion I or III follow.

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