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    Four prime numbers are arranged in ascending order. The product of first three numbers is 255 and the product of last three numbers is 1955. The large
    Question

    Four prime numbers are arranged in ascending order. The product of first three numbers is 255 and the product of last three numbers is 1955. The largest prime number is

    A.

    23

    B.

    17

    C.

    31

    D.

    29

    Correct option is A

    Given
    Four prime numbers in ascending order.
    Product of first three = 255
    Product of last three = 1955
    Formula used
    Largest prime = (product of last three) ÷ (product of middle two)
    Solution
    Step 1: Factor 255
    255 = 17 × 15
    15 = 3 × 5
    So the first three primes (in ascending order) are:
    3, 5, 17
    Thus, the middle two primes are 5 and 17, and their product is:
    5 × 17 = 85
    Step 2: Find the largest prime
    Largest prime = 1955 ÷ 85
    Check:
    85 × 23 = 1955
    So the largest prime is 23.
    The correct option is (A) 23

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