Question

A palindrome number consists of 3 different digits. Both the one’s and hundred’s place digits are divisible by 3. The ten’s and hundred’s place digits are both divisible by 2. The ten’s place digit is an even prime number. What is the number?
(3 marks)

Answer 1

Solution:
The hundred's place digit is divisible by 2 and 3.
The digit 6 is a multiple of both 2 and 3. (0.5 marks)
So, a hundred places digit is 6. (0.5 marks)

As 2 is the only even prime number. (0.5 marks)
So, ten’s place digit is 2. (0.5 marks).
A number is a palindrome number.
Therefore, the hundred place digit and one place digit are the same i.e 6. (0.5 marks)
Hence, the number is 626. (0.5 marks).