Question

A number when successively divided by 5,3,2 gives 0,2,1 as remainders.what will be the remainders when the same number is successively divided by 2,3,5

Answer 1

we have 5,3,2 which gives remainder 0,2,1

subtract the remainder from the divisor

so (5-0) = 5

(3-2) = 1

(2-1) = 1

we have 5,1,1 and now we will take LCM = 5

so the number is 5 which when divided by 5,3,2 respectively will give remainders 0,2,1

now as the number is 5 then it has to be divided by 2,3,5 respectively which will give us remainders as 1,2,0