The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: 1.) All cups are mugs. 2.) All mugs are utensils. Conclusions: I. All cups are utensils. II. Some utensils are cups.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: 1.) All cups are mugs. 2.) All mugs are utensils. Conclusions: I. All cups are utensils. II. Some utensils are cups. Correct Answer Both conclusions I and II follow
The least possible venn diagram is:
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I. All cups are utensils. → True (It is definite, as it is given in statement that all cups are mugs and all mugs are utensil, so all cups will be utensil)
II. Some utensils are cups. → True (It is definite, as it is given in statement that all cups are mugs and all mugs are utensil, then all cups will be utensils and some utensil will definitely be cups)
Hence, both conclusions I and II follow.