Problem of the Month
This Month, Guess One of my Secret Numbers
Here are the numbers from 1 through 8. I have chosen two of them to be my secret numbers; your job is to figure out ONE of my secret numbers. To do so, you'll need to ask me some yes-or-no questions, which I will answer truthfully.
Here's the catch: each of your questions must be of the form "Is your secret number X?", where X is whatever you want. Once you've asked a question, I will pick one of my two secret numbers, and give the truthful answer for that number.
For example: say my numbers are 2 and 5. If you ask "Is your secret number prime?", I will have to say "Yes", since both of my numbers are prime. But if you ask "Is your secret number even?", I can answer "Yes" or "No" as I please, since one of my numbers is even and one isn't.
Remember, you only need to figure out one of my secret numbers. In order to do that, how many yes-or-no questions will you need?
Send your answers to this puzzle to me (Joseph DiMuro) at email@example.com by April 30th, 2014. No email attachments, please.
“I would choose math at Biola is that math is taught as a part of God's creation and my love for math grows alongside my love for God.”
Applied Mathematics Major
“Being a math major has equipped me with deeper knowledge, understanding, and fascination of the subject. Due to this, I feel more excited, confident, and prepared to help future math students succeed in this subject.”
Secondary Teaching Mathematics Major
“I'm so glad I chose to study math at Biola - the faculty incredible and invested in their student’s lives, and I know they care about me in and out of the classroom. It's also been an invaluable opportunity to have consistent integration of my major and my faith and see how God can be glorified through math, which has been one of my favorite aspects of the department.”
Pure Mathematics Major
Why Choose Mathematics at Biola?
- Thorough in both educational quality and personal attention to students
- Faculty and students work together to make the study of mathematics a successful and enjoyable learning experience
- Involvement in the Putnam Exam; a nationwide contest for math students
- Experienced faculty who not only teach classes in which they are specialists, but work on research projects with individual students
- Small class sizes
- Readily accessible computing facilities