Here is 45 on GRE 0568:
A circular region is divided by 5 radii into sectors as shown above. 21 points are chosen in the circular region, none of which is on any of the 5 radii. Which of the following statements must be true?
1. Some sector contains at least 5 of the points.
2. Some sector contains at most 3 of the points.
3. Some pair of adjacent sectors contains a total of at least 9 of the points.
A. 1. only
B. 3. only
C 1. and 2. only
D. 1. and 3. only
E. 1., 2., 3. only
The correct answer was D.
Can't all 21 points be found in one sector? Nothing in the question sounds like it's preventing this from happening... So 2. could be true, no?
What am I missing o_O ?
a huge thank you with a ! in advance