a56 is a four-digit numeral divisible by 33. What is the value of a?Options :A.3B.4C.5D.6

To solve this problem, we need to understand that a number is divisible by 33 if it is divisible by both 3 and 11.

Step 1: Check divisibility by 3 A number is divisible by 3 if the sum of its digits is divisible by 3. In this case, we have 5 + 6 + a. Since 5 + 6 = 11, we need to find a value for a such that 11 + a is divisible by 3. The possible values for a are 0, 3, 6, or 9.

Step 2: Check divisibility by 11 A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a multiple of 11. In this case, we have (a + 6) - 5. We need to find a value for a such that (a + 6) - 5 is a multiple of 11. The possible values for a are 0 or 11.

Step 3: Find the common value The common value between the results of step 1 and step 2 is 0. However, 0 is not an option in the given choices. Therefore, there is no valid value for a among the given options.