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ISRO2017-22

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Which one of the following Boolean expressions is NOT a tautology?

  1. $((a \rightarrow b) \wedge (b \rightarrow c)) \rightarrow  (a \rightarrow c)$
  2. $(a \leftrightarrow c) \rightarrow (\sim b\rightarrow (a\wedge c))$
  3. $(a\wedge b \wedge c)\rightarrow (c \vee a)$
  4. $a\rightarrow (b\rightarrow a)$
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