2022.04.25 Meeting

What is the product of 17 and 23?

I have a chest of gold coins. Bailing comes and takes 5/7 of the coins for competitions. Serena comes and takes 1/10 of the remaining coins. Then, if the remainder of the board (4 people) can split the now remaining coins equally, what is the minimum number of coins I had at the beginning?

Find the positive difference between the largest and smallest root of $$6x^{3\ }-x^{2\ }-5x\ +\ 2$$  

Two trains running along parallel train tracks are set to carry cargo between two cities. Train A travels at a speed of 2 m/s from City 1 to City 2, while Train B travels at a speed of 5 m/s from City 2 to City 1. If the distance between City 1 and City 2 is 343 meters, and Train A leaves City 1 at the same time as Train B leaves City 2, after how many seconds will Train A and Train B crash into each other headon in a trainwreck?

Bag A has 10 red marbles and 2 blue marbles. Bag B has 3 red marbles and 7 blue marbles. I choose a single marble at random and it is blue. What is the probability this blue marble came from bag A?

Bob's (biological) mother has 5 (biological) sons: the eldest son's name is Monday, the second oldest son's name is Tuesday, the middle child's name is Wednesday, and the second youngest's name is Thursday. What is the name of the youngest son?

Calculate $$\frac{3}{2}\left(1+\frac{2^4}{3}\ -\frac{15}{9}\right)$$

If the senior board members (2) have to take 5 IB exams, and the junior board members (2) have to take 2 IB exams this year, how many different ways are there to organize the schedule for them to take exams if only one person can take an exam at a time and each person has to finish all their exams before the next person can take an exam? (e.g. Mudit takes all Exam1, Exam2, Exam3, Exam4, Exam5, then Serena takes Exam2, Exam1, Exam5, Exam4, Exam3, etc.)

If I cry once every 123 days, and I cried today on a Monday, what is the day of the week for the next time I cry?

If two board members can make 9 slides in 1 hour, how many hours will it take 3 board members to make 24 slides if each board member works at an equal pace and each slide takes the same amount of time to make?