Podcast
Questions and Answers
What is the calculation method for the characters 'A', 'B', 'C' with representative numbers A = 1, B = 13, C = 110?
What is the calculation method for the characters 'A', 'B', 'C' with representative numbers A = 1, B = 13, C = 110?
CBA = 110 + 13 + 1, ABC = -1 - 13 + 110 = 96
What did the man buy if he stated he needed 600 for $3?
What did the man buy if he stated he needed 600 for $3?
- Paint
- Nails
- Bottles
- Screws (correct)
How many pizzas can 9 teenagers eat in 3 days if a teenager and a half can eat a pizza and a half in a day and a half?
How many pizzas can 9 teenagers eat in 3 days if a teenager and a half can eat a pizza and a half in a day and a half?
18 pizzas
What is the next number in the sequence -3, 24, -168, 1008, -5040?
What is the next number in the sequence -3, 24, -168, 1008, -5040?
Match the professional to their primary responsibility:
Match the professional to their primary responsibility:
Match the terms related to measurement:
Match the terms related to measurement:
Match the group to its members:
Match the group to its members:
Match each term with its corresponding concept:
Match each term with its corresponding concept:
What are the two coins that add up to 55 cents if one of them is not a nickel?
What are the two coins that add up to 55 cents if one of them is not a nickel?
Write a program or method to convert a number to a character as in old mobile phones. For example, 22#22 =?
Write a program or method to convert a number to a character as in old mobile phones. For example, 22#22 =?
Given a 1-dimensional point of a rectangle and its area, find the permutations of the other three points in 2-D space. For example, if X = (0,0) and A = 1?
Given a 1-dimensional point of a rectangle and its area, find the permutations of the other three points in 2-D space. For example, if X = (0,0) and A = 1?
In how many ways can a cube be painted using three different colors?
In how many ways can a cube be painted using three different colors?
Will there be a convergence in the distribution of heads vs. tails after a robot interacts randomly with coins dumped on the floor?
Will there be a convergence in the distribution of heads vs. tails after a robot interacts randomly with coins dumped on the floor?
Would you accept the wager where you earn $1 for each person with the same birthday and your friend earns $2 for each one without the same birthday?
Would you accept the wager where you earn $1 for each person with the same birthday and your friend earns $2 for each one without the same birthday?
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Study Notes
Alpha and Arabic
- Characters have associated numerical representations, e.g., A=1, B=13, C=110.
- The sum is calculated by adding current character’s value if the next character is smaller; otherwise, all prior sums become negative.
- Example: For CBA = 110 + 13 + 1; for ABC = -1 - 13 + 110 = 96.
Riddle about House Painting
- A man needs 600 items at a cost of $3; he buys paint rollers since 1 roller costs $1.
Teenagers and Pizzas Problem
- 1.5 teenagers consume 1.5 pizzas in 1.5 days; simplifies to each teen eating 1 pizza in 1.5 days.
- This means 1 teen can eat 2 pizzas in 3 days.
- Thus, 9 teenagers can consume a total of 18 pizzas in 3 days.
Sequence Problem
- Identify the pattern in the sequence: -3, 24, -168, 1008, -5040.
Analogies
- Physician: Symptoms parallels Detective: Clue.
- Mason is related to Brick; Dispatcher is to Taxicab; Pharmacist connects to Drugs.
Relationships
- Weight relates to Scale; Volume connects to Sound; Distance is linked to Odometer; Calibration associates with Measurements; Inch connects to Feet.
Group Relations
- Band relates to Musicians; Team parallels Fans; Family connects to Sisters; Cast relates to Actors; Circus relates to Jugglers.
Literary Relationships
- Biography correlates with Life; Story relates to Imagination; Chronicle connects to Events; Memoir relates to Reader; Song is linked to Composer; Pose correlates to Poem.
Renovation Analogy
- Renovate pertains to Dilapidated;
- Sacrifice is related to Fortified;
- Revere links to Admirable;
- Revitalize relates to Fatigued;
- Restore correlates to Irreparable;
- Modify links to Altered.
Emotional Connections
- Hearten correlates to Courage;
- Repay links to Installment;
- Demote connects to Rank;
- Educate relates to Knowledge;
- Agree relates to Quarrel;
- Punish links to Wrongdoing.
Philanthropy Connection
- Humanitarian relates to Philanthropy;
- Fan connects to Notoriety;
- Thief relates to Larceny;
- Donor correlates to Gratitude;
- Expert connects to Apprenticeship;
- Scholar relates to Plagiarism.
Coin Puzzle
- Two coins total 55 cents; one isn’t a nickel. The answer includes a quarter (50 cents) and a nickel.
Number to Character Conversion
- Create a method to convert numbers to characters based on traditional mobile keypads, e.g., pressing ‘2’ thrice gives ‘C’ and ‘#’ for space.
Rectangle Points
- Given one corner and the area, find coordinates of the remaining corners in 2-D space.
Walking Robot Problem
- A robot takes varying steps forward and backward based on a parameter x; analyze movement patterns.
Cube Painting Calculation
- A cube can be painted using three colors in 3^6 (729) unique ways.
Coin Distribution Problem
- A robot randomly flips or throws quarters, leading to a potential convergence in distribution of heads and tails over time.
Birthday Wager at Party
- Evaluate a betting scenario involving birthday matches in a party of 10 people; determine the fairness of the wager.
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