self doubt

Question

The number of integer n  between 100 < n <300 such that 16 divides (n^2-n-2) and 25 divides (n^2+2*n-3).

Answer 1

Given information is turned into Code which results to the o/p of the problem.

#include<iostream>
using namespace std;
int main(){
for(int i=101;i<300;i++)
{
    if(((i*i-i-2)%16==0)&&((i*i+2*i-3)%25==0))
        cout<<i;
}
return 0;
}

O/p :- 226

i.e. only one (1) number is there.

Comments

@kunal

This aptitude question asked in TCS hiring (give 2.5 min), not the programming question.