Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some keys are scales.
All books are papers.
All scales are paper.
Conclusions:
(I) No books are keys.
(II) Some papers are keys.
Option 1: Both conclusions (I) and (II) follow
Option 2: Only conclusion (I) follows
Option 3: Only conclusion (II) follows
Option 4: Neither conclusion (I) nor (II) follows
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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:
No books are keys – From the above diagram, it can be seen that there is no direct relation between books and keys. So, this conclusion does not follow.
Conclusion II:
Some papers are keys – From the above diagram, we can see that the circle of papers and keys intersect and have some common area between them. So, this conclusion follows.
So, only conclusion II follows. Hence, the third option is correct.
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