A jar has between 40 and 50 marbles. If the marbles are taken out of the jar 3 at a time, 2 marbles will be left in the jar. If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar. How many marbles are in the jar?
For a class trip to the NY Aquarium, 461 students and 20 teachers will be taking buses in place of the subway. Each bus can seat a maximum of 52 persons. What is the least number of buses needed for this trip?
A class of 43 students is divided into committees in such a way that each student serves on exactly one committee. Each committee must have at least 3 members and at most 5 members. The possible number of committees that can be formed is
(a) at least 8 and at most 14
(b) at least 8 and at most 15
(c) at least 9 and at most 14
(d) at least 9 and at most 15