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P: The population of Hyderabad is more than Delhi.
Q: Last year, the number of months with 31 days are 7.
choose the correct option based on the truth value of the statements?
  • a)
    P→Q is True
  • b)
    (P→Q)→ Q is False
  • c)
    Q→ (P→Q )is False
  • d)
    ¬(P→Q) is True
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
P: The population of Hyderabad is more than Delhi.Q: Last year, the nu...
Option 1: P→Q is True
True, In general, P→ Q is false, only when P is true and Q is false.
If q is true, then irrespective of the P value, it holds true.
 The population of Hyderabad is more than Delhi we can not predict which city is more polluted. So it may be True or False. 
Here, ‘Q’ is true, as Jan, Mar, May, Jul, Aug, Oct, Dec months have 31 days. 
P→Q is True.
Option 2: (P→Q)→ Q is False
False, As Q is true, P→Q and (P→Q )→Q holds true.
Option 3: Q→ (P→Q ) is False
False, As P→Q is true, Q→ ( P→Q) holds true.
Option 4: ¬(P→Q) is True
True, This complement of  (P→Q). As (P→Q) is true then ¬(P→Q) is False.
Hence the correct answer is P→Q is True
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Community Answer
P: The population of Hyderabad is more than Delhi.Q: Last year, the nu...
The correct option based on the truth value of the statements is:

a) P is true, Q is false.
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P: The population of Hyderabad is more than Delhi.Q: Last year, the number of months with 31 days are 7.choose the correct option based on the truth value of the statements?a)P→Q is Trueb)(P→Q)→ Q is Falsec)Q→ (P→Q )is Falsed)¬(P→Q) is TrueCorrect answer is option 'A'. Can you explain this answer?
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P: The population of Hyderabad is more than Delhi.Q: Last year, the number of months with 31 days are 7.choose the correct option based on the truth value of the statements?a)P→Q is Trueb)(P→Q)→ Q is Falsec)Q→ (P→Q )is Falsed)¬(P→Q) is TrueCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about P: The population of Hyderabad is more than Delhi.Q: Last year, the number of months with 31 days are 7.choose the correct option based on the truth value of the statements?a)P→Q is Trueb)(P→Q)→ Q is Falsec)Q→ (P→Q )is Falsed)¬(P→Q) is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P: The population of Hyderabad is more than Delhi.Q: Last year, the number of months with 31 days are 7.choose the correct option based on the truth value of the statements?a)P→Q is Trueb)(P→Q)→ Q is Falsec)Q→ (P→Q )is Falsed)¬(P→Q) is TrueCorrect answer is option 'A'. Can you explain this answer?.
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