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

    Question

    If total number of factors of 5,292 is 'x', then find

    the value of (x - 7)(x + 2).
    A 1060 Correct Answer Incorrect Answer
    B 1080 Correct Answer Incorrect Answer
    C 1102 Correct Answer Incorrect Answer
    D 1120 Correct Answer Incorrect Answer

    Solution

    Factors of 5,292 = 2² × 3³ × 7²
    So, total number of factors = (2 + 1)(3 + 1)(2 + 1) = 3 × 4 × 3 = 36
    Required value = (x - 7)(x + 2) = (36 - 7)(36 + 2) = 29 × 38 = 1102

    Practice Next

    Relevant for Exams: