Given below are two statements :

Statement I : Aspirin and Paracetamol belong to the class of narcotic analgesics.

Statement II : Morphine and Heroin are non-narcotic analgesics.

In the light of the above statements, choose the correct answer from the options given below.

To determine the validity of the statements, let us analyze the classification of analgesics (painkillers):

Analgesics are neurologically active drugs that relieve pain without causing impairment of consciousness, mental confusion, incoordination, paralysis, or other disturbances of the nervous system. They are classified into two major categories:
1. Non-narcotic (non-addictive) analgesics: These drugs are non-addictive and are used for relieving mild to moderate pain. Examples include aspirin and paracetamol. Aspirin also has antipyretic (fever-reducing) and anti-inflammatory properties, and it inhibits the synthesis of chemicals known as prostaglandins which stimulate inflammation in tissues.
2. Narcotic analgesics: These drugs are addictive, produce sleep/unconsciousness, and in poisonous doses, can cause stupor, coma, convulsions, and ultimately death. Morphine and its derivatives (such as heroin, codeine, etc.) are classic examples of narcotic analgesics. They are primarily used for the relief of postoperative pain, cardiac pain, and terminal cancer pain.

Now, let us evaluate the given statements:

Statement I: "Aspirin and Paracetamol belong to the class of narcotic analgesics."
As discussed, aspirin and paracetamol are non-narcotic (non-addictive) analgesics. Therefore, Statement I is false.

Statement II: "Morphine and Heroin are non-narcotic analgesics."
As discussed, morphine and heroin are narcotic (addictive) analgesics. Therefore, Statement II is also false.

Since both statements are incorrect, the correct option is "Both Statement I and Statement II are false."