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 C.
II. Some A is C.
Conclusions:
I. Some C are not X.
II. Some A are X is a possibility.
III. All C are A.
Option 1: Only conclusions I and II follow
Option 2: All the conclusions follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusion III follows
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the Conclusions –
Conclusion (I):
Some C is not X – As shown in the diagram, the line having a cross between the circle of X and C shows that no X is C or vice versa. If all are not then some come by default. So, this conclusion follows.
Conclusion (II):
Some A are X is a possibility – As shown in the diagram, the circles of X and A are independent and don't define any relation. If the statement is positive there is always a possibility. So, this conclusion follows.
Conclusion (III):
All C is A – As shown in the diagram, the circles of C and A are overlapping which means they are some part of each other but all C and are A not true. So, this conclusion doesn't follow.
So, only conclusions I and II follow. Hence, the first option is correct.
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