Wednesday, May 29, 2024

Two (Relatively) Easy Mensa Math Brain Busters

 Two relatively easy math problems to challenge the gray matter of energetic Brane Space readers:

1)  Find the smallest integer that:

- When divided by 3 has a remainder of 1.

- When divided by 4 has a remainder of 2.

- When divided by 5 has a reminder of 3.

- When divided by 6 has a remainder of 4

- When divided by 7 has a remainder of 5


2) You run an enterprise that makes cone-shaped paper cups. You start with a round piece of paper (radius = 1).  Then remove one sector, after which you connect the two straight edges to form a cone.

Find the maximum ratio of volume to surface area.

(Hint: You will need to use some basic differential calculus)

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