A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)	Choose the correct answer:	A) 6	B) 5	C) 3	D) 2	E) 1
Case 1: Final group = 3; Rest of the group = 4A; Number of members = 4A + 3   Case 2: Final group = 3; Rest of the group = 5B; Number of members = 5B + 3   4A + 3 = 5B + 3   4A = 5B --&gt; Possible values = 20, 40, 60, ........ --&gt; But only 40 satisfies the given conditions   Number of members = 40 + 3= 
<gadget id="calculator">40 + 3</gadget>
<output>43</output>
43   When divided into groups of 6, final group will have 1 member (6*7 + 1).   Answer: 1
<result>E</result>
A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)