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:
All athletes are boxers.
No boxer is a cook.
Conclusions:
I. No athlete is a cook.
II. No boxer is an athlete.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Either conclusion I or II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No athlete is a cook – According to the Venn diagram, all athletes are boxers and no boxers are cooks. Therefore, no athlete is a cook is a true conclusion.
Conclusion (II):
No boxer is an athlete – According to the Venn diagram, all athletes are boxers. Therefore, no boxer is an athlete is a false conclusion.
So, the only conclusion I follows. Hence, the fourth option is correct.
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