Question
A two-digit number is written on the board. Avi claims that the units digit of the number is twice the tens digit. Beni claims that the number is divisible by `9`. Gal claims that the number is divisible by `4`. Dani claims that the number is divisible by `27`. It is known that one of them is wrong, and the rest are correct. What number is written on the board?
Difficulty level (1 very easy - 10 very hard): 2
Topics:
Number Theory
->
Modular Arithmetic / Remainder Arithmetic
->
Divisibility Rules
->
Divisibility Rules by 2, 4, and 8
Number Theory
->
Modular Arithmetic / Remainder Arithmetic
->
Divisibility Rules
->
Divisibility Rules by 3 and 9
Algebra
->
Word Problems
Logic
->
Reasoning / Logic
Combinatorics
->
Case Analysis / Checking Cases
->
Processes / Procedures
There are no comments yet.