Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All colours are small. II. No small is big. Conclusions: I. All small are colour. II. Some small are colour. III. All the big are colour.
Option 1: Neither conclusion follows
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: All small are colour – From the Venn diagram, it is evident that some parts of the circle representing small lie outside the circle representing colours while some lie inside. So, it can be concluded that some small are colours, not all. Conclusion II: Some small are colour – From the Venn diagram, it is evident that some parts of the circle representing small lie outside the circle representing colours while some lie inside. So, it can be concluded that some small are colours. Conclusion III: All big are colour – In the Venn diagram, there is no definite relation between the circles that represent big and colour. Therefore, this conclusion does not follow.
Therefore, the only conclusion II follows. 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: 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
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: 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 3: Only conclusion III follows
Option 4: Only conclusion II 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 bottles are containers. Some containers are buckets. All buckets are soaps. Conclusions: I. Some soaps are bottles. II. Some buckets are bottles. III. Some soaps are containers.
Option 1: Only conclusion I follows
Option 2: All conclusions follow
Option 4: Only conclusion III follows
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. Some F are D. II. No A is D. Conclusion: I. Some F are A. II. No D is A. III. Some F are not A.
Option 2: Both conclusions II and III follow
Option 3: 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 machines are factories. Some factories are shops. Some shops are houses. Conclusions: I. Some houses are factories. II. Some machines are houses. III. Some factories are machines.
Option 1: Only conclusion II follows
Option 3: All conclusions follow
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