For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
01/02/2014

PROBLEM #1

The sum of the numerator and denominator of a fraction is 12. If 1 is added to both the numerator and the denominator the fraction becomes 3/4. What is the fraction?

PROBLEM #2

If 2 and 3 are the roots of the quadratic polynomial x2+(a+1) x+b; then what are the values of a and b?

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Problems from 12/19/13

PROBLEM #1

The gas tank of a truck is cylindrical in shape with a radius of r inches and a lengh of l inches, and tank lays on its side. With a measuring stick you note how many inches of gas are in the tank. Given this depth of gas, how many cubic inches of gas are in the tank?

PROBLEM #2

Four dogs occupy the four corners of a square with side of length a. At the same time each dog starts walking at the same speed directly toward the dog on his left. Eventually all four dogs will converge at the center of the square. What is the distance each dog walks until he reaches the center?

Congratulations to Shailesh Goregaokar and Saba Lateef, who were the winners of the last set of puzzles. Here are two puzzles for one and all!

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