For how many positive integers N, less than 40, does the equation 4x – Ny = 5 has no integral solutions?

A. 0
B. 19
C. 20
D. 9

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  1. Abhishek Tandon

    Raman Sir
    I included 40 as well.
    My approach was that there are no. Integral solutions when there is a common factor between coefficient of x and y. So for N<=40
    Common factors are multiples of 2
    So 2,4,…40
    So 20 possible values of N for which there is no integral solutions.

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