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Malcolm wants to visit Isabella after school today and he knows the street where she lives but doesn't know her house number. She tells him, ``My house number has two digits, and all of the following four statements about it are true.''  $(1)$ It is a prime number.  $(2)$ It is less than $40$.  $(3)$ One of its digits is $3$.  $(4)$ Another digit is an even number.  This information allows Malcolm to determine Isabella's house number. What is the house number? (adapted from 2017 AMC 8 problem, Question \#8) 
Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers
According to information $(3)$ and $(4)$, we know $3$ must be in the ones place and the digit on the tens place is an even number. Thus, it should be one of the numbers from $23$, $43$, $63$ and $83$. According to information $(1)$, it can be $23$, $43$, and $83$. According to information $(2)$, it can only be $23$. 