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The correct option is 1, which means statement I only is correct.
Statement I says that the Nobel Prize is never awarded posthumously. This means that if a nominee passes away before the announcement of the prize, they will not be considered for the award. This rule is followed to ensure that the Nobel Prize honors the achievements of individuals who are alive to receive the recognition.
Statement II states that the Nobel Prize in Economics has been given since 1901. This statement is incorrect. The Nobel Prize in Economics, officially called the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, was established in 1968. It was not one of the original Nobel Prizes established by Alfred Nobel in his will in 1895.
Therefore, only statement I is correct, and statement II is incorrect.