Bunuel wrote:
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 final group, which will have 4 members, will have 5 members. If the members are separated into as many groups of 11 as possible, how many members will be in the final group?
A. 7
B. 6
C. 3
D. 2
E. 1
You COULD go with a elegant solution...or you could get to the right answer at least as fast just using brute force...
"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."
This means we have 27, 31, 35, 39, 43, 47, 53, or 57 members.
"The members can also be separated into groups so that all groups but final group, which will have 4 members, will have 5 members."
This means we have 24, 29, 34, 39, 44, 49, or 54 members.
Only one number is in both lists: 39.
If we make groups of 11, we will use up 33 and be left with 6.
Answer choice B.
There are no bonus point on the GMAT for mathematical elegance or brilliance...just get the right answer as quickly as possible and with as little risk of a silly mistake as possible.