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    Question

    Let n (>1) be a composite natural number whose square

    root is not an integer. Consider the following statements: 1. n has a factor which is greater than 1 but less than the square root of n. 2. n has a factor which is greater than the square root of n but less than n. Which of the statements given above is/are correct?
    A 1 only Correct Answer Incorrect Answer
    B 2 only Correct Answer Incorrect Answer
    C Both 1 and 2 Correct Answer Incorrect Answer
    D Neither 1 nor 2 Correct Answer Incorrect Answer

    Solution

    The correct answer is C

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