Question

A number when divisible by 50 leaves remainder 16. the same number when divisible by 80 leaves remainder n. how many values can n take?

Answer 1

                Let number is x here 
                               x = 50k+16 
                                                     Here k = 0, 1, 2, 3 , .......
                Now will divide number by 80
                            So for different values of k we have different values of n 
                            There will be infinite values of k 
                             So there can be infinite values of n when dividing x by 80