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Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follows/follow from the statements. Statements: 1. No cup is a plate. 2. All plates are cutleries. 3. No cutlery is a spoon. Conclusions: I. Some cutleries are plates. II. No cutlery is a cup. III. Some spoons being cups is a possibility

Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follows/follow from the statements. Statements: 1. No cup is a plate. 2. All plates are cutleries. 3. No cutlery is a spoon. Conclusions: I. Some cutleries are plates. II. No cutlery is a cup. III. Some spoons being cups is a possibility Correct Answer Only conclusions I and III follow

The least possible Venn diagram for the given statement is as below:

[ src="//storage.googleapis.com/tb-img/production/22/05/F2_Madhuri_Engineering_31.05.2022_D21.png" style=" white-space: pre-wrap; margin-left: 0px; margin-top: 0px; width: 233px; height: 140px;">

I) Some cutleries are plates → Follow → As all plates are cutleries, So some cutleries are plates is true.

II) No cutlery is a cup → Does not follow → As no cup is a plate and All plates are cutleries, So some part of cutlery is a cup is possibility but not definitely true.

III) Some spoons being cups is a possibility → Follow → According to Venn diagram. As no cutlery is a spoon but some spoons being cups it is a possibility.

[ src="//storage.googleapis.com/tb-img/production/22/05/F2_Madhuri_Engineering_31.05.2022_D22.png" style=" white-space: pre-wrap; margin-left: 0px; margin-top: 0px; width: 184px; height: 106px;">

Hence, the correct answer is "Only conclusions I and III follow."

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