Quant Question Of The Day : 11
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Algebra
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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20?
What was your approach? Abhishek
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.
Perfect .