very good question.. but i guess answer would be A) - 5
I feel u were right half way through i.e. In other words, The maximum number of boxes that each contain different number of oranges = 25 (120 thru 144)
Now if 25 is the number of ways in which first 25 boxes will have different
oranges, then i will just reapeat the same arrangement for the remaining boxes. Thus for first 125 boxes i would just repeat the same arrangement of oranges. Thus least boxes with same number of oranges would be 5
i hope my explanation is clear, concise and idiomatic (as GMAT says...
Well, i did think of it before i got the solution...it appeals to the intuition too..and it may be right too..
And under time pressure, i am sure it will be hard to analyze the problem and come up with 103...
I may be wrong.. but Here is what i think..
if you repeat the arrangement , you wont have all different
boxes anymore...remember we are looking for the least number of boxes with the same number of oranges...
Least number of same boxes = Total Boxes - Maximum number of different boxes