Question

A two-digit number is written on the board.
Avi said: "The digit 5 appears in this number."
Beni said: "This is a square number."
Gili said: "This number is greater than 50."
Dani said: "The number is divisible by 7."
Then the teacher said: "There are three correct statements here and one incorrect statement.".
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 Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures

Sources:

Young Mathematician Olympiad, 2018-2019, Stage B, Grades 5-6 Question 1

There are no comments yet.

Authentication required

You must log in to post a comment.