NUMBER THEORY QUESTIONS
1.) If both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of 'a'?
2.) Find the largest five digit number that is exactly divisible by 7, 10, 15, 21 and 28.
3.) Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
4.) When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?
5.) What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers?
