NPTEL The Joy of Computing using Python Week 12 Assignment Answers 2024
1. What is the key operation performed when the number n in the Collatz Conjecture is even?
- Add 1
- Multiply by 3 and add 1
- Divide by 2
- Subtract 1
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2. What happens to an odd number n in the Collatz Conjecture sequence?
- It is divided by 2
- It remains unchanged
- It is replaced by n×3+1
- It is replaced by n−1
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3. What is the ultimate goal of the Collatz Conjecture sequence?
- Reach the number 0
- Return to the starting number
- Reach the number 1
- Cycle through odd numbers
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4. Which of the following best describes the Collatz Conjecture?
- It has been proven for all natural numbers
- It remains an unsolved problem in mathematics
- It is a trivial problem with a simple solution
- It only applies to prime numbers
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5. What is the main idea behind the PageRank algorithm used by Google?
- Count the number of keywords on a page
- Rank pages based on random walks on a graph of web links
- Rank pages based on user reviews
- Rank pages alphabetically
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6. In PageRank, what happens when a page has a higher number of inbound links from other important pages?
- Its rank decreases due to the load on the server
- Its rank increases
- Its rank remains unchanged
- It is marked as a less relevant page
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7. Which technique is used in the PageRank algorithm to determine the rank of a web page?
- Depth-first search
- Hyperlink analysis
- Random walk simulation
- Data scraping
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8. PageRank relies heavily on the structure of the:
- Web page content
- Hyperlink network between web pages
- User interaction data
- Server location
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9. PageRank was developed primarily to solve which problem?
- Calculating the shortest path in a network
- Ranking the importance of web pages on the internet
- Counting the total number of web pages
- Reducing the size of search engine databases
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10. For which values between 200 and 3000 does the Collatz Conjecture not converge to 1?
- 2498.0
- 1576.0
- 2789.0
- None of the given options
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