A four-digit odd number A whose unit digit is not 5 and when divided by a prime number gives resultant as a three-digit number B whose tens place is 0...
Question
A four-digit odd number A whose unit digit is not 5 and when divided by a prime number gives resultant as a three-digit number B whose tens place is 0. Sum of digits of A is 8 while that of B is 5. Which of the following statement/s is/are correct about A and B?
I. Product of the digits of A is equal to its sum of the digits
II. Difference between the hundred place digit of A and B is 3
III. Sum of A and B is 1624