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Which one of the following statements is NOT true?

  1. In competitive inhibition, substrate and inhibitor compete for the same active site of an enzyme
  2. Addition of a large amount of substrate to an enzyme cannot overcome uncompetitive inhibition
  3. A transition state analogue in enzyme catalyzed reaction increases the rate of product formation
  4. In non-competitive inhibition, $K_m$ of an enzyme for its substrate remains constant as the concentration of the inhibitor increases

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