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 X is W.
II. Some R are X.
Conclusions:
I. Some W are not X.
II. No W is R.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II 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 W is not X – As shown in the diagram, the arrow with a cross sign in between the circles of X and W shows that no X is W or vice versa. If no W is X some W are not X is also true. So, this conclusion follows.
Conclusion (II):
No W is R – As shown in the diagram, the circles of R and W are independent. The diagram doesn't define any relation between them. So, this conclusion doesn't follow.
So, only the conclusion I follows. Hence, the third option is correct.
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