Multiple Choice Questions on For a positive integer n let Pn denote the product of the digits of n and Sn denote the sum of the d........... for Mathematics - All Exams Preparation

Back to Main Page

Multiple Choice Questions

For a positive integer n let Pn denote the product of the digits of n and Sn denote the sum of the d...........

Quantitative Aptitude ( CCS) Number System
    Download Solution PDF

    For a positive integer n, let Pn denote the product of the digits of n and Sn denote the sum of the digits of n. The number of integers between 10 and 100 for which Pn+Sn=n

    7

    Incorrect Answer

    9

    Correct Answer

    12

    Incorrect Answer

    none of these

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Number System
    Prepare through Micro-courses
    Try Now
    Explanation:

    Let the two digit number be 'ab'
    Given, a × b + a + b = 10a + b
    a × b = 9a
    b = 9
    Therefore, for b = 9, the above condition satisfies.

    So all the two digit numbers for which units digit is 9 are our solutions.

    They range from 19 to 99, Total 9 numbers.

    Hence, option 2 is the correct answer.

    By: Amit Kumar
    ProfileResources

    Let's Discuss

    Master
    Number System
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free