Question 24
A two-digit number is written on the blackboard and five students make the following statements about the number.
Amy: The number is prime.
Ben: The number can be expressed as the sum of two perfect squares.
Con: At least one of the digits in the number is a 7.
Dan: The number obtained by reversing the digits is odd and composite.
Eve: The number differs from a prime number by 2.
If only one of the students is wrong, who is it?
Amy: The number is prime.
Ben: The number can be expressed as the sum of two perfect squares.
Con: At least one of the digits in the number is a 7.
Dan: The number obtained by reversing the digits is odd and composite.
Eve: The number differs from a prime number by 2.
If only one of the students is wrong, who is it?