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CTET PAPER II 2019 · PYQ · Mathematical Reasoning / Pedagogy · easy

A mathematical theorem is

  1. A.a statement that has been proven by logical arguments based on axioms.✓ Correct
  2. B.a statement which is always true and doesn't need proof.
  3. C.a statement whose truth or falsity is not known.
  4. D.is a statement without sufficient evidence for proof.

Explanation

A mathematical theorem is a statement that has been rigorously proven using logical arguments derived from axioms and previously proven theorems. Option 2 describes an axiom or postulate (which doesn't need proof). Option 3 describes a conjecture. Option 4 contradicts the definition of a theorem. Only option 1 correctly defines a theorem.
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