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. All X are A.
II. Some R are X.
Conclusions:
I. Some A is R.
II. All R is A.
Option 1: None of the conclusions follow
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some A are R – As shown in the diagram, circles of A and R are overlapping and have some common area between them which means some A are R or vice versa. So, this conclusion follows.
Conclusion (II):
All R is A – As shown in the diagram, circles of R are not completely inside the circle of A. So, this conclusion doesn't follow.
So, only the conclusion I follows. Hence, the fourth option is correct.
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