New RBI Grade B 2025 Notification will come Soon! Enroll Here

    Question

    LCM of two numbers is 18 times their HCF. The product of

    the numbers is 64800. What will be the maximum possible difference between the numbers?
    A 1578 Correct Answer Incorrect Answer
    B 1552 Correct Answer Incorrect Answer
    C 1020 Correct Answer Incorrect Answer
    D 1535 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 18 × x = 18x Or, x × 18x = 64800 Or, 18x² = 64800 Or, x² = 3600 Or, x = √3600 = 60 LCM of two numbers = 60 × 18 = 1080 Let two numbers be ‘60a’ and ‘60b’, where ‘a’ and ‘b’ are co-prime numbers. So, 60ab = 1080 Or, a × b = 18 So, when a = 1 and b = 18, then difference will be maximum Desired difference = 60 × 18 – 60 × 1 = 1020

    Practice Next

    Relevant for Exams: