Pyramid and Cube Arrangement
Number Theory
Level
2
You have cubes, pyramids,and boxes. Every 64th box will recieve a cube and every 80th box will receive a pyramid. If there are only 680 boxes, what box will recieve a cube and a pyramid?
Note: Boxes 300 to 330 cannot recieve anything.
The answer is 640.
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1 solution
LCM of 64 and 80 is 320. Since boxes 300 to 330 can't receive anything, the box number will be 320*2=640