Problem of the Week Archive

Money Palindromes Answer
Money Palindromes Answer During my last visit to the grocery store, I paid $13.31 — a palindrome centered on the period. What is the probability of having to pay an amount that is a palindrome centered on the period? Mohammad Rasoulipour gave the following answer: “There is only a possibility of palindromes centered on a […]

Money Palindromes
Money Palindromes During my last visit to the grocery store, I paid $13.31–a palindrome centered on the period. What is the probability of having to pay an amount that is a palindrome centered on the period? The best answer to this somewhat vague question submitted to dhousman@goshen.edu will win a small prize.

MATH + LEAD = SERVE Answer
MATH + LEAD = SERVE Answer MATH + LEAD = SERVE. Chaim Hodges found the solution 8279 + 5324 = 13603, and went on to state, “This single solution also gives rise to 3 other solutions. Swapping the value of D and H, L and M and permutations of that.” Chaim can stop by SC […]

MATH + LEAD = SERVE
MATH + LEAD = SERVE MATH + LEAD = SERVE. After 34 weeks without, we offer an alphanumeric puzzle in honor of this year’s GC core value focus. Make the first sentence arithmetically true by assigning a different digit to each different letter. Someone who submits a correct solution to dhousman@goshen.edu will win a small […]

Selling a house
Selling a house We close the semester with a question from the 186970 Massachusetts Institute of Technology Entrace Examination. By selling a house and lot for $5,790, the owner lost 3 1/2 per cent. What was their cost? The best answer submitted to dhousman@goshen.edu will win a small prize.

Birthday
Birthday Fifty traditional age college students are gathered in a room. What is the probability that there is at least one pair of students who share the same birth date (year, month, and day)? The best answer submitted to dhousman@goshen.edu will win a small prize. No one submitted a correct answer. So, I will leave […]

Tennis
Tennis Alice, Bob, and Charlie play tennis matches consisting of one set only: two of them play a set and the winner stays on the court for the next set, with the loser replaced by the player who was idle. At the end of the day Alice played 15 sets, Bob played 14 sets, and […]

Fall 2009
Birthday December 1 Problem. My creativity has run dry. So, here is a problem sent to me by Ginny Nunemaker (originally from her son Ken). Computers usually represent color using a hexadecimal value for each primary color (red, green and blue). The range for each color is “00″ to “FF” ;. In this system, how […]

May 2009
May 2009 Mathematical puzzles for your intellectual amusement. April 29 Problem. In honor of Ron Milne’s retirement, the following problem involving bicycles and geometry is offered. It turns out that bicycles with square wheels can work fine – as long as the road is appropriately constructed. Can a suitable road be constructed for a bicycle […]

Spring 2009
Spring 2009 Mathematical puzzles for your intellectual amusement. March 31 Problem. What is the largest architectural example of a regular polygon on the campus of Goshen College? Mark Miller’s Solution. The structure of the Marine Biology research facility in Florida (part of Goshen’s campus) is square. Penina Christine Acayo’s Solution. The best example of a […]