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