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 colors are rainbows. Some paints are rainbows. All rainbows are drawings. Conclusions: I. Some drawings are colors. II. All paints are drawings. III. Some drawings are rainbows.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: Only conclusions II and III follow
Option 4: All conclusions follow
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Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusion – Conclusion I: Some drawings are colors – From the above diagram, it can be seen that the circle of drawings and colors intersect and has some common area between them, which implies that some drawings are colors. So, this conclusion is true based on the given statements. Conclusion II: All paints are drawings – From the above diagram, the circle of paint does not lie completely inside the circle of the drawing they have some part in common. Therefore, this conclusion is false. Conclusion III: Some drawings are rainbows – From the above diagram, it can be seen that the circle of the rainbow is inside the circle of the drawings, which implies that all rainbows are drawings and some of the drawings are rainbows. So, this conclusion is true based on the given statements.
So, only conclusions I and III logically follow according to the given statements. Hence, the second 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: 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 2: Only conclusions II and III follow
Option 3: Only 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 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 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 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
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 3: Only conclusions I and III follow
Question : Directions: Three statements are 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 conclusions logically follow(s) from the statements. Statements: I. All metals are gold. II. All jewellery is gold. III. All gold are ornaments. Conclusions: I. Some ornaments are jewellery. II. Some metals are jewellery. III. All jewellery are ornaments.
Option 2: All conclusions follow
Option 4: Only conclusions I and II follow
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