4a56 is a four digit numeral divisible by 33. What is the value of a?

To find the value of 'a' in the four-digit numeral 4a56 that is divisible by 33, we need to understand the divisibility rule of 33.

The rule states that a number is divisible by 33 if the sum of the number formed by its tens and units digits and the number formed by its remaining digits is divisible by 33.

So, let's apply this rule to the number 4a56.

We split the number into two parts: 4a (the hundreds and thousands digits) and 56 (the tens and units digits).

We know that 56 is not divisible by 33. So, the number 4a must be such that when added to 56, the result is divisible by 33.

The smallest number greater than 56 that is divisible by 33 is 66. So, 4a + 56 = 66.

Solving this equation for 'a' gives us:

4a = 66 - 56, 4a = 10, a = 10 / 4, a = 2.5.

However, 'a' must be a whole number (since it's a digit in a numeral), so there's no whole number value for 'a' that would make 4a56 divisible by 33.