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.
Statement I: All unions are intersections.
Statement II: All intersections are negations.
Conclusion I: Some negations are intersections.
Conclusion II: No union is a negation.
Option 1: Only I follows
Option 2: Neither I nor II follows
Option 3: Both I and II follow
Option 4: Only II follows
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Correct Answer: Only I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some negations are intersections – According to the Venn diagram, all intersections are negations, therefore some negations are intersections is true. So, this conclusion follows.
Conclusion II:
No union is a negation – According to the Venn diagram, all unions are intersections and all intersections are negations. Therefore, there is no negative relation between union and negation. Therefore, no union is a negation is a false conclusion.
So, the only conclusion I follow. Hence, the first option is correct.
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