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Which of the following propositional formulae represents the sentence, 'He will come in the $8:15$ or the $9:15$ train; if the former, he will have time to visit us', where

  •  $p$ means 'He will come in the $8:15$ train'
  • $q$ means 'He will come in the $9:15$ train'
  • $r$ means 'He will have time to visit us'
  1. $ p \rightarrow q \vee r$
  2. $ p \vee q \rightarrow r $
  3. $ ( p \rightarrow q) \wedge ( p \vee r )$
  4. $ (p \vee q ) \wedge (p \rightarrow r)$
asked in Mathematical Logic by Boss (13.8k points)
edited by | 90 views
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@bikram @digvijay why its answer is not B

answer given is B
0

@Arjun sir i think answer will be B can you explain it. 

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what is the answer
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given ans is d
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Answer is D. That's the English meaning.
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@Arjun sir  what is the word former representing ???

i was also thinking it to be B

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Former - previous one or earlier one. Here the first sentence
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But previous sentence is 'q' not 'p'.

It should be (p+q)(q--->r).

Is it wrong?

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