Club X has more than 20 but fewer than 50 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 4 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
Choose one.
A) 1  B) 2  C) 3  D) 4  E) 5
The number of members is 4j+3 = 5k+4.   Let's start at 4(5)+3 = 23 and keep adding 4 until we find a number in the form 5k+4.   23, 27, 31, 35, 39 = 5(7) + 4   The club has 39 members.   39/6 = 6(6) + 3   The answer is 3.
<result>C</result>
Club X has more than 20 but fewer than 50 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 4 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?