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:
I. No L is P.
II. No R is L.
Conclusions:
I. Some R is not P.
II. Some R is not L.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
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:
Some R is not P – From the above diagram, it is clear that circles of R and P are independent. The diagram doesn't have any relation between them. So, this conclusion doesn't follow.
Conclusion II:
Some R is not L – From the above diagram, it is clear that no R is L as a cross-over line between R and L defines a relation of not between them. If no R is L is true so some R are not L is also true. So, this conclusion follows.
So, only the second conclusion follows. Hence, the fourth option is correct.
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