Q35 / 90 · JEE Main 2021 (27 Aug Shift 1) · Mathematics

The statement (p∧(p→q)∧(q→r))→r is

  • Correct answer
    A
     a tautology
  • B
    equivalent to q→~r
  • C
    a fallacy
  • D
    equivalent to p→~r

Solution

Let f=(p∧(p→q)∧(q→r))

Make truth table,

rpqp→qq→rff→rTTTTTTTFTTTFFTTTFFTFTFTFFTFTTFTTTFTFFTTFFTTFFFTFTFFFFTFT

So, the answer is tautology.

Hence, the correct answer is option: 'A'.

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