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Statements: All magic are women. All women are crazy. Which of the given conclusions follow?

Paper 1 · Logical Reasoning
Statements: All magic are women. All women are crazy. Which of the given conclusions follow?
  • All magic are crazy
  • All crazy are magic
  • Some crazy are magic
  • Some crazy are women
AOnly 1, 3 and 4 follow ✓ Correct
BOnly 2 and 3 follow
CAll conclusions follow
DNone of the conclusions follow
Correct answer: (A) Only 1, 3 and 4 follow — Conclusions 1, 3 and 4 follow, so that is the answer.
Explanation
Conclusions 1, 3 and 4 follow, so that is the answer.
All magic are women and all women are crazy, so all magic are crazy, giving conclusion 1.
By conversion of that, some crazy are magic, giving conclusion 3.
All women are crazy converts to some crazy are women, giving conclusion 4.
Conclusion 2, 'all crazy are magic', is an illicit converse and does not follow.
So the answer is only 1, 3 and 4 follow.

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