Question - Creating Numbers with Specific Divisibility Properties

Let the digits on the cards be \(d_1, d_2, d_3, d_4\). Without the specific digits, we cannot provide a unique solution, but we can give a general method.

a) To form an even number, the last digit \(d_4\) must be even.

b) To form a number divisible by 3, the sum of the digits \((d_1 + d_2 + d_3 + d_4)\) must be divisible by 3.

c) To form a number divisible by 10, the last digit \(d_4\) must be 0.

d) To form a number divisible by 9, the sum of the digits \((d_1 + d_2 + d_3 + d_4)\) must be divisible by 9.

e) To form a number divisible by 5, the last digit \(d_4\) must be 0 or 5.

Combine digits to satisfy the above conditions for each part of the question.