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 1: Only conclusions I and II follow
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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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 flowers are balls – In the above diagram, it can be seen that the circle of balls is completely inside the circle of flowers, which implies that some flowers are balls. So, this conclusion is true based on the given statements. Conclusion II: Some plates are flowers – In the above diagram, it can be seen that the circle of flowers is completely inside the circle of plates, which implies that some of the plates are flowers. So, this conclusion is true based on the given statements. Conclusion III: All cups are plates – In the above diagram, it can be seen that the circle of plates overlaps with some parts of the circles of cups which implies that some cups are plates, but all plates are cups is not a true conclusion based on the given statements.
So, only conclusions I and II follow. Hence, the first option is correct.
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Question : Directions: Three 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: Some desks are trays. Some trays are plates. Some plates are desks. Conclusions: I. All desks are plates. II. All plates are desks. III. Some plates are trays. IV. All trays are desks.
Option 1: Only conclusion III follows
Option 2: Only conclusion IV 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: 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 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: Some trees are leaves. Some leaves are flowers. Some flowers are branches. Conclusions: I. Some trees are flowers. II. Some leaves are branches. III. Some branches are flowers. IV. Some branches are leaves.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusion III follows
Option 4: None of the 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: 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 2: Only conclusions II and III follow
Option 3: All conclusions follow
Option 4: Only 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: Some mobiles are flat. All the flats are TVs. Some TVs are plastic. Conclusions: I. Some mobiles are TVs. II. Some flats are plastic. III. All plastic are TVs.
Option 1: All conclusions follow
Option 2: Only conclusion I follows
Option 4: Only conclusion II follows
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