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    5. ‘m’ is the number of prime numbers from 1 to 100 and ‘n’ is the number of prime factors from

    Question

    ‘m’ is the number of prime numbers from 1 to 100 and

    ‘n’ is the number of prime factors from 101 to 125. Find the value of m × n.
    A 175 Correct Answer Incorrect Answer
    B 155 Correct Answer Incorrect Answer
    C 125 Correct Answer Incorrect Answer
    D 135 Correct Answer Incorrect Answer

    Solution

    Number of prime factors from 1 to 100 = m = 25

    Number of prime numbers from 101 to 125 are 101, 103, 107, 109, 113, 127, and 129, i.e., 7.

    So, n = 7

    m × n = 25 × 7 = 175

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    • Supreme Court of India (Junior Court Assistant)

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