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

    Question

    If the sum of two numbers is cubed and equals 3375, and

    their product is 150, what is the positive difference between their individual cubes?
    A 775 Correct Answer Incorrect Answer
    B 875 Correct Answer Incorrect Answer
    C 650 Correct Answer Incorrect Answer
    D 665 Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the numbers be A and B.

    Product of numbers AB = 150... (1)

    And (A + B)³ = 3375 = 15³

    So, A + B = 15... (2)From equation (1) and (2),

    A = 10 and B = 5
    Therefore,
    A³ - B³ = 10³ - 5³ = 1000 - 125 = 875

    Practice Next