## 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 .