1. Minimum Number of Students Scoring Above a Threshold
In an exam, the total score of all participants is 8250, and the top three scores are 88, 85, and 80. The lowest score is 30, and at most three people can have the same score. What is the minimum number of people who scored at least 60 points?
2. Trader Position Game Test Strategy
During a vidcruiter one-way video interview for a Trader position, you are presented with a game test involving two columns of letters and several choices. For instance, if you choose +C and -T, with + indicating upward and - indicating downward, and then randomly draw two other letters such as A and Q, you would calculate the difference based on their positions in the alphabet (e.g., C-A=2 and Q-T=-3, resulting in a total of -1). Most questions will offer you multiple options and ask you to select the one with the highest expected value, or give you a set of letters and ask you to choose another set to maximize the sum. You are required to explain your strategy after completing the test. Note that you must reactivate your camera for each question and ensure there are no pop-ups when your computer requests camera access, as this could be interpreted as leaving the page and prevent you from answering the current question. The challenge is to have sharp eyesight and quick calculation skills, as you only have a few seconds per question.
3. Trading Game Logic Explanation
During a trading intern interview, you are presented with a game involving 26 letters arranged in two columns, A-M and N-Z. A column is randomly selected, and you must choose the letter you believe will yield the highest expected return based on the difference between the selected letter's position and the random column. The game includes variations with positional movements. Explain the logic behind your choices and suggest memorizing the numerical order of the letters.
