Question

how many three digit numbers would you find which when divided by 3,4,5,6,7 leaves a remainder 1,2,3,4 and 5 respectively ?

Answer 1

We have to find the hcf of given numbers. ... first we have to subtract the remainder from each number for e.g..given the number 3 we have to minus 1 from 3 i,e, 2 then take the next number subtract the respective remainder from it after that take the two numbers obtained and then find the hcf of that numbers using division lemma...then take hcf obtained from these numbers and minus the respective remainder from the third number and find the hcf of third number by taking the hcf of other two numbers similarly do it in every numbers you wiil get the 3 digit number