# A problem by navratan rathi

Find a ten digit number starting with 3 using 0,1,2,3,4,5,6,7,8,9 only once in such a way that if 1). all digits are present then it is divisible by 10 2). last digit is removed then it is divisible by 9 3). again the last digit is removed then it is divisible by 8 4). again the last digit is removed then it is divisible by 7 5). again the last digit is removed then it is divisible by 6 6). again the last digit is removed then it is divisible by 5 7). again the last digit is removed then it is divisible by 4 8). again the last digit is removed then it is divisible by 3 9). again the last digit is removed then it is divisible by 2 10). again the last digit is removed then it is divisible by 1

all digits are removed in sequence i.e after removing last digit in first step last digit of new number will be removed in second step & so on.