DIVISIBILITY PROBLEMS USING GIVEN DIGITS

Solve the following problems using two variables : The sum of the digits of a umber consisting of three digits is 12 . The middle digit is equal to half the sum of the other two . If the order of the digits is reversed , The number is diminished by 198 . Find the number .

A 5 digit number is formed by using the digits 0, 1, 2, 3, 4 and 5 without repetition. The probability that the number is divisible by 6 is

Problems related to finding the no of digits in a given no

Given below are two pairs of statements. Combine these two statements using if and only if: p: if the sum of the digits of a number is divisible by 3, then the number is divisible by 3.q: if a number is divisible by 3, then the sum of its divisible by 3.