Let \(p, q\) and \(r\) be propositions and the expression \(\left (…

GATE · 2017 · CS · Set 1 · Computer Science & IT

Let p,qp, q and rr be propositions and the expression (p→q)→r\left ( p\rightarrow q \right )\rightarrow r be a contradiction. Then, the expression (r→p)→q\left ( r\rightarrow p \right )\rightarrow q is

  1. A.

    a tautology

  2. B.

    a contradiction

  3. C.

    always TRUE when pp is FALSE

  4. D.

    always TRUE when qq is TRUE

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