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    Question

    What is the total count of

    numbers between 165 and 2485 that are divisible by both 25 and 35?
    A 12 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 15 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer

    Solution

    ATQ, Numbers that are multiples of both 25 and 35 are multiples of L.C.M of 25 and 35 i.e. multiples of 175 Smallest multiple of 175 between 165 and 1485 = 175 × 1 = 175 Largest multiple of 175 between 165 and 1485 = 175 × 14 = 2450 So, total number of multiples of 175 in the given range = 14 – 1 + 1 = 14

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