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 Rice are Salad. II. All Salad are Table. Conclusions: I. Some Rice are Table. II. No Salad is Rice. III. Some Tables are Salad.
Option 1: Both conclusions II and III follow
Option 2: All conclusion follows
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
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Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some Rice are Table – From the Venn diagram, we can see that the two circles representing rice and table intersect and have a part of their area in common. So, some rice is a table. Therefore, this conclusion follows. Conclusion (II): No Salad is Rice – From the Venn diagram, we can see that the two circles representing salad and rice intersect and have a part of their area in common. So, some salad is rice. Therefore, this conclusion does not follow. Conclusion (III): Some Tables are Salad.– From the Venn diagram, we can see that the circle representing the salad is completely inside the circle representing the table. So, from this, it can be inferred that some tables are salad. Therefore, this conclusion follows.
So, only conclusions I and III follow. Hence, the fourth option is correct.
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