Fun Brainteasers: Birthdays, Ants, Island, and Round Table Puzzles
Enjoy solving challenging puzzles involving birthdays, ants on a ruler, tree arrangements on an island, and a scenario with Arthur, Merlin, Lancelot, Guinevere, and Barry at a restaurant.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
The Quiz Answers
1. Birthdays On my last birthday, my friend said to me: In 15 years time, your age will be the square of your age 15 years ago! How old am I? A. 10 B. 19 C. 21 D. 23 E. None of the above
1. Birthdays Let ? be my age now. Then solve ? + 15 = (? 15)2 to get ? = 21,? = 10. On my last birthday, my friend said to me: In 15 years time, your age will be the square of your age 15 years ago! How old am I? A. 10 B. 19 C. 21 D. 23 E. None of the above
2. Ants Twenty ants are dropped on a metre ruler. Each ant is travelling either to the left or the right with constant speed 1 metre per minute. When two ants meet they instantaneously reverse direction and maintain their speed. When any ant reaches an end of the ruler it falls off. What is the least number of seconds after the ants are dropped when the ruler will definitely have no ants on it? A. 30 B. 60 C. 6000 D. Impossible to tell
Imagine that each ant simply passes through the ant coming in the opposite direction 2. Ants Twenty ants are dropped on a metre ruler. Each ant is travelling either to the left or the right with constant speed 1 metre per minute. When two ants meet they instantaneously reverse direction and maintain their speed. When any ant reaches an end of the ruler it falls off. What is the least number of seconds after the ants are dropped when the ruler will definitely have no ants on it? A. 30 B. 60 C. 6000 D. Impossible to tell
3. Island A circular island is empty apart from 6 trees. A tree is hidden only when it lies directly behind another tree from the perspective of the observer. What is the highest possible number of people that can stand on the island, with each person seeing a different number of trees? A. 3 B. 4 C. 5 You may arrange the trees however you like. D. 6
3. Island A circular island is empty apart from 6 trees. A tree is hidden only when it lies directly behind another tree from the perspective of the observer. What is the highest possible number of people that can stand on the island, with each person seeing a different number of trees? A. 3 B. 4 C. 5 D. 6
4. Round table Arthur, Merlin, Lancelot, Guinevere and Barry go to their favourite restaurant to share some mead and grilled meats. They sit down at a round table for five, and as soon as they do, Lancelot notes, "We sat down around the table in age order! What are the odds of that? A. 1/12 B. 1/24 C. 1/6 D. 1/120 E. None of the above
4. Round table Arthur, Merlin, Lancelot, Guinevere and Barry go to their favourite restaurant to share some mead and grilled meats. They sit down at a round table for five, and as soon as they do, Lancelot notes, "We sat down around the table in age order! What are the odds of that? There are 5! = 120 possible seating arrangements. Suppose they sit in age order. Lancelot can sit in any of 5 seats. For any seat that he chooses there are 2 possibilities, either the ages increase to his left or increase to his right. So there are 10/120 ways they can sit. A. 1/12 B. 1/24 C. 1/6 D. 1/120 E. None of the above
