How to select the questions

Steps to Follow:

  1. Input Roll Number:

    You will start with a roll number in the format, for example, U19KU22S1001.

  2. Extract and Sum the Digits:
    • Identify all numeric digits in the roll number.
    • Add these digits together to get a sum.
    • For example:
      • Roll number: U19KU22S1001
      • Digits: 1, 9, 2, 2, 1, 0, 0, 1
      • Sum: 1 + 9 + 2 + 2 + 1 + 0 + 0 + 1 = 16
  3. Calculate Modulo 10 of the Sum:
    • Compute the modulo 10 of the sum obtained in step 2.
    • This gives the resulting number, which determines the questions you need to answer.
    • For example:
      • Sum: 16 → 16 % 10 = 6
      • Resulting number: 6
    • If the resulting number is 5 or 0, increment it by 1, and solve questions that are multiples of 6.
  4. Select Questions to Solve:
    • Identify question numbers that are multiples of the resulting number.
    • If the resulting multiples exceed the total number of questions (e.g., 10), take modulo 10 to loop back through the questions.
    • For example:
      • Resulting number: 6
      • Questions: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
      • Multiples of 6:
        1. First multiple: 6
        2. Second multiple: 6 × 2 = 12 → 12 % 10 = 2 (2nd question)
        3. Third multiple: 6 × 3 = 18 → 18 % 10 = 8 (8th question)
        4. Fourth multiple: 6 × 4 = 24 → 24 % 10 = 4 (4th question)
        5. Fifth multiple: 6 × 5 = 30 → 30 % 10 = 0 → 10th question

Questions to Solve: 6, 2, 8, 4, 10

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List of 10 programs
Download the Dataset
  1. Create a Pie Chart: Visualize the popularity of phones for each brand_name using a pie chart.
  2. Generate a Scatter Plot: Analyze the relationship between screen_size and cost using a scatter plot.
  3. Plot a Line Graph: Observe the trend in cost over time using the release_date as the x-axis.
  4. Compute the Average Price: Calculate the average cost of phones for each brand_name (e.g., Nokia, OnePlus, etc.).
  5. Top 5 Brands by Value: Identify the top 5 brands that offer the highest memory_size for the lowest cost.
  6. Identify the Costliest Phone with Worst Specifications: Find the most expensive phone, along with its brand_name, model_name, and the specifications (screen_size, memory_size, battery_size) that are the least impressive.
  7. Brand with the Largest Price Range: Identify the brand_name that has both the cheapest and the costliest phone in its lineup, indicating the largest price range within a single brand.
  8. Quick Sort Algorithm: Sort the dataset by screen_size using the quick sort algorithm.
  9. Least and Most Popular Phones:
    1. Find the least popular phone with the highest price.
    2. Find the most popular phone with the lowest price.
  10. Create Your Own Question: Frame a custom question related to the dataset and solve it.
List of 10 Numerical Problems
  1. Calculate the Measures of Central Tendency: Find the mean, median, and mode for the following data:
    [12, 32, 31, your age, the last two digits of your mobile number, 24, 17, 28, the last two digits of your roll number, 23, 19, today's date, 11].
  2. Calculate the Measures of Dispersion: Compute the range, variance, and standard deviation for the same data.
  3. Explain Bernoulli's Trials and Binomial Distribution: Provide an example to illustrate Bernoulli’s trials and show how they form a binomial distribution.
  4. Explain Poisson Distribution: Provide an example where events occur independently over a fixed interval, and explain how the Poisson distribution applies.
  5. Probability of Students with Banned Substances: At SARGAM fest, 1 in 56 students gets caught at security for carrying banned substances. If 4,700 students are expected to participate, what is the probability of finding at least 6 students with banned substances? (Determine the appropriate probability distribution and solve.)
  6. Students Entering Gate 2: On Day 1 of SARGAM, 7 students enter Gate 2 in one minute. What is the probability of exactly 12 students entering in the next minute? (Identify the appropriate probability distribution and solve.)
  7. Create Your Own Question: Frame a question related to probability distributions or statistics using real-life observations or scenarios.
  8. Explain Normal Distribution: Describe the properties of the normal distribution and provide examples where it is commonly observed.
  9. Holding Your Breath: Record how many seconds you can hold your breath. Collect data for multiple attempts and check if these observations follow any probability distribution.
  10. Binomial Distribution for Classmates’ Correct Answers: Assume the average number of questions your classmates can answer correctly in a test. If there are 180 students across sections A, B, and C, use this data to plot a binomial distribution.