📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    âš¡ Month End Offer - Flat 52% Off On All Courses! Enroll Now âš¡
    00:00:00 AM Left

    Question

    When 732 is divided by a positive integer x, the

    remainder is 12. How many values of x are there?
    A 18 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 19 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    When 732 is divided by a positive integer x, the remainder is 12. So, 732 – 12 = 720 So 720 will be completely divisible by x 720 = 2 × 3 × 5 Total number of factors of 720 = (4 + 1) × (2 + 1) × (1 + 1) = 5 × 3 × 2 = 30 Number of factors 12 or less than 12 are (10) = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12 So x cannot have these values because x is greater than 12 So, we can say that there are 30 - 10 = 20 possible values of x

    Practice Next
    More Algebra Questions

    Relevant for Exams:

    ask-question