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Question : Directions: Three 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:
All c is f.
No f is t.
All p is c.
Conclusions:
I. Some t is c.
II. No p is t.

Option 1: Only conclusion II follows

Option 2: Only conclusion I follows

Option 3: Neither conclusion I nor II follows

Option 4: Either conclusion I or II follows


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: Only conclusion II follows


Solution : The possible Venn diagram, according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some t is c – From the Venn diagram, it is evident that all c is f and no f is t. So, it can be concluded that no c is t. Therefore, this conclusion does not follow.
Conclusion (II): No p is t – From the Venn diagram, it is evident that all p is c, all c is f and no f is t. So, it can be concluded that no p is t.

So, the only conclusion II follows. Hence, the first option is correct.

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