Question

A two-digit number is written on the board.
Avi said: "The units digit of the number is 3"
Beni said: "It's a square number"
Gili said: "This number is a multiple of 12"
Then the teacher said: "There are two correct statements and one wrong one here."
What number was written on the board?

Difficulty level (1 very easy - 10 very hard): 2

Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules Logic -> Reasoning / Logic Logic -> Truth-tellers and Liars Problems

Sources:

Young Mathematician Olympiad, 2018-2019, Stage B, Grades 3-4 Question 1

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