Amrita needs to select a new PIN. She decides it will be made up of four non-zero digits with the following properties: i) The first two digits and the last two digits each make up a two-digit number which is a multiple of 11. ii) The sum of all the digits is a multiple of 11. How many different possibilities are there for Amrita’s PIN?
Select one option, then click Submit.
1
2
4
8
16
Select an option, then submit.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Challenge (2023)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Challenge (2023)