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 dogs are animals. Some animals are pets. All pets are white. Conclusions: I. Some dogs are white. II. Some animals are white. III. Some animals are dogs.
Option 1: All conclusions follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and III follow
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Correct Answer: Only conclusions II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some dogs are white – According to the Venn diagram there is no definite relation between dogs and white, therefore some dogs are white, is not the correct conclusion. Conclusion (II): Some animals are white – According to the Venn diagram the circles of animals and white intersect and have some common area between them. Therefore some animals are white is the correct conclusion. Conclusion (III): Some animals are dogs – According to the Venn diagram some dogs are animals, therefore some animals are dogs is also the correct conclusion.
So, only conclusions II and III follow. Hence, the third option is correct.
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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 red is pink. All white is pink. All pink is orange. Conclusions: I. All white is orange. II. All orange is red. III. Some oranges are white.
Option 1: Only conclusions I and III follow
Option 3: All conclusions follow
Option 4: Only conclusions II 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 from the statements. Statements: I. All blocks are toys. II. All toys are books. III. All books are stories. Conclusions: I. Some toys are blocks. II. Some blocks are books. III. Some stories are toys.
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: All 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: 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 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
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 books are pencils. II. Some pencils are pens. III. All pens are erasers. Conclusions: I. Some erasers are pencils. II. All pens are books. III. Some erasers are pens.
Option 1: Only conclusions I and II follow
Option 3: Only conclusions I and III follow
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