FOR STUDENTS

PROBLEM # 1
Rama's father is 3 times old as Rama. 4 years ago, he was 4 times older. How old is Rama?

FOR GROWNUPS 

PROBLEM # 2
Let f(x; y) = xy, let a = (1; 2), and let v = (2; 3).
Find the rate of growth of f at a in a unit vector direction parallel to v.

Please send your solutions to anil@lokvani.com.

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If you need clarification on any problem, please contact anil@lokvani.com.

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A regular dodecahedron is a solid with 12 pentagonal faces. There are two fair dice that are regular dodecahedrons whose face cotain numbers from 1 to 12. A third die is a cube on which a multiplication symbol lies on four faces and an addition symbol lies on the other two faces. All three dice are rolled. What is the probability that the result given by the two numbers combined by the operation on the tops of the tree dice is 16?

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