Ajay correctly remembers that his mother Radhika's birthday is after the 5th but before the 10th of June, while his sister Sita correctly remembers that her mother's birthday is before the 11th but after the 8th of June. On which date in June is their mother's birthday?

Consider the following three Facts, followed by three Statements (I, II, and III). Select the statement(s) that logically follow from the facts: Fact-1: Jessica has four children. Fact-2: Two children have blue eyes and two children have brown eyes. Fact-3: Half of the children are girls. Statement - I: At least one girl has blue eyes. Statement - II: Two of the children are boys. Statement - III: The boys have brown eyes.

Given below are three statements numbered (I), (II) and (III) followed by a conclusion. Statements: (I) Price rise is a natural phenomenon. (II) If production increases, prices fall. (III) High prices affect the poor. Conclusion: If production rises, the poor feel relieved. Choose the correct answer regarding which statements together yield the conclusion.