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Two 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 bottles are utensils. All kitchens are utensils. Conclusions: I. No bottle is a kitchen. II. Some bottles are kitchens. III. No utensil is a bottle. 

Two 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 bottles are utensils. All kitchens are utensils. Conclusions: I. No bottle is a kitchen. II. Some bottles are kitchens. III. No utensil is a bottle.  Correct Answer Either conclusion I or II follows

Statements:

All bottles are utensils.

All kitchens are utensils.

The least possible diagram for the given statements is as follows

[ alt="D1 PujaT Madhuri 18.02.2022 D11" src="//storage.googleapis.com/tb-img/production/22/02/D1_PujaT_Madhuri_18.02.2022_D11.png" style="width: 164px; height: 104px;">

Conclusions:

I. No bottle is a kitchen → False (It is possible but not definite)

II. Some bottles are kitchens → False (It is possible but not definite)

III. No utensil is a bottle → False (it is not a possibility because already statement given all bottles are utensils so some utensils are definitely bottle)

Conclusion I and II are complementary pairs.

Hence, “Either conclusion I or II follows”.

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