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Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow (s) from the statements.
Statements:
Some pens are black.
No black is blue.
Conclusions:
I. No pen is blue.
II. Some pens are not black.

Option 1: Only conclusion II follows

Option 2: Both conclusions I and II follow

Option 3: Only conclusion I follows

Option 4: Neither conclusion I nor II follows


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: Neither conclusion I nor II follows


Solution : According to the given statements, the venn diagram is given below –

Let's analyse the conclusions –
Conclusion (I): No pen is blue – From the Venn diagram, it is clear that the circles of pen and blue are independent they didn't touch each other. The diagram doesn't define any relation between pens and blue. So, no pen is blue is incorrect and the conclusion doesn't follow.
Conclusion (II): Some pens are not black – From the Venn diagram, it is clear that some pens are black but the diagram doesn't define anything about pens are not black. So, this conclusion is incorrect and the conclusion doesn't follow.

So, Neither conclusion I nor II follows. Hence, the fourth option is correct.

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