Question : Directions: Three 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: No cup is a plate. All cups are utensils. Some bottles are cups. Conclusions: I. Some utensils are not plates. II. Some bottles are not plates. III. No bottle is a plate.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions II and III follow
Option 3: All conclusions follow
Option 4: Only conclusions I and III follow
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some utensils are not plates – From the Venn diagram, it is evident that no cups are plates. So, some parts of the circle representing utensils that lie inside the circle representing cups will not be plates. Therefore, it can be concluded that some utensils are not plates. Conclusion (II): Some bottles are not plates – From the Venn diagram, it is evident that no cups are plates. So, some parts of the circle representing bottles that lie inside the circle representing cups will not be plates. Therefore, it can be concluded that some bottles are not plates. Conclusion (III): No bottle is a plate – From the Venn diagram, it is evident that no cups are plates. So, some parts of the circle representing bottles that lie inside the circle representing cups will not be plates. Therefore, it can be concluded that some bottles are not plates. So, this conclusion does not follow.
So, only conclusions I and II follow. Hence, the first option is correct.
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Question : Directions: In this question, three 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 follows/follow from the statements. Statements: All balls are flowers. All flowers are plates. Some plates are cups. Conclusions: I. Some flowers are balls. II. Some plates are flowers. III. All cups are plates.
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Question : Directions: Three 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 spoons are forks. All knives are forks. All forks are plates. Conclusions: I. All knives are plates. II. All plates are spoons. III. Some plates are knives.
Option 1: All conclusions follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Question : Directions: Three 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: I. All plates are bowls. II. No bowl is a glass. III. Some glasses are vessels. Conclusions: I. Some glasses are plates. II. Some bowls are plates. III. Some vessels are bowls.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and II follow
Question : Directions: Three 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: I. All pencils are colours. II. All colours are paints. III. Some paints are drawings. Conclusions: I. Some pencils are drawings. II. Some paints are colours. III. Some colours are pencils.
Option 1: Only conclusions I and III follow
Option 3: Only conclusions I and II follow
Option 4: All conclusions follow
Question : Directions: Three 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: I. All bikes are cars. II. Some cars are trucks. III. All trucks are cycles. Conclusions: I. Some cars are cycles. II. Some cycles are trucks. III. Some bikes are trucks.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and III follow
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