The Official SAT Question of the Day™

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The least number of marbles one would need in order to place 4 marbles on each line of the figure above is

A. 5
B. 10
C. 14
D. 15
E. 20

Answer is B

Here's Why:

Since a point that is located where two lines intersect is considered to lie on both of those lines, you want to put marbles on as many intersection points of the lines in the figure as possible in order to minimize the number of marbles needed. There are 10 points where two lines intersect. With a marble at each of these 10 locations, there are then exactly 4 marbles on each line of the figure. Thus, the least number of marbles needed is 10.


Difficulty: Medium
Question Type: Standard Multiple Choice

(Mathematics)