Two 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: No soap is a dessert. All desserts are cups. Conclusions: I. No dessert is a soap. II. Some cups are desserts. III. Some desserts are soaps. IV. All cups are desserts.  

Two 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: No soap is a dessert. All desserts are cups. Conclusions: I. No dessert is a soap. II. Some cups are desserts. III. Some desserts are soaps. IV. All cups are desserts.   Correct Answer Both conclusions I and II follow.

[ alt="SYLL" src="//storage.googleapis.com/tb-img/production/21/12/SYLL.png" style="width: 347px; height: 372px;">

The possible Venn diagram is given below:-

[ alt="F3 Puja Ravi 23.12.21 D31" src="//storage.googleapis.com/tb-img/production/21/12/F3_Puja_Ravi_23.12.21_D31.png" style="width: 222px; height: 57px;">

Conclusions:

I. No dessert is a soap. → True (No soap is a dessert, so we can say that no dessert is a soap.)

II. Some cups are desserts. → True (All desserts are cups, so we can say that some cups are desserts.)

III. Some desserts are soaps. → False (No soap is a dessert, so there is no relation developed between desserts and soaps as some desserts are soaps.)

IV. All cups are desserts. → False (All desserts are cups, but all cups can not be desserts.)

Hence, "option 4" is the correct answer.

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