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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 B.
II. All N are X.
Conclusions:
I. All N are B.
II. Some B are X.

Option 1: Neither conclusion I nor II follows

Option 2: Only conclusion II follows

Option 3: Both conclusions I and II follow

Option 4: Only conclusion I follows


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: Both 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): All N are B – From the Venn diagram, it is evident that the circle representing N is completely overlapped by the circle representing B. Thus, it can be concluded that all N are B.
Conclusion (II): Some B are X – From the Venn diagram, it is evident that some parts of the circle representing B lie inside the circle representing X while some lie outside. Thus, it can be concluded that some B are X.

So, both the conclusions I and II follow. Hence, the third option is correct.

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