New 👉 Ask your RBI Grade B 2025 Preparation Queries Here!!

    Question

    LCM of two numbers is 12 times their HCF. The product of

    the numbers is 25920. What will be the maximum possible difference between the numbers?
    A 578 Correct Answer Incorrect Answer
    B 552 Correct Answer Incorrect Answer
    C 506 Correct Answer Incorrect Answer
    D 535 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 = 12 × x = 12x Or, x × 12x = 25920 Or, 12x² = 25920 Or, x² = 2160 Or, x = √2160 = 46.48 (Approx 46) LCM of two numbers = 46 × 12 = 552 Let two numbers be ‘46a’ and ‘46b’, where ‘a’ and ‘b’ are co-prime numbers. So, 46ab = 552 Or, a × b = 12 So, when a = 1 and b = 12, then difference will be maximum Desired difference = 46 × 12 – 46 × 1 = 506

    Practice Next