Solution
Problem 21
A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter and altitude , and the axes of the cylinder and cone coincide. Find the radius of the cylinder.
Solution
Problem 22
In the magic square shown, the sums of the numbers in each row, column, and diagonal are the same. Five of these numbers are represented by , , , , and . Find .
Solution
Problem 23
A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white?
Solution
Problem 24
In trapezoid
, ,
and
are perpendicular to , and . What is
, with
?
Solution
Problem 25
How many positive integers not exceeding ?
are multiples of or but not
Solution