Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter ArenaQuestion
← Logic & PuzzlesWhat outcome regarding perfect lossless data compression becomes demonstrable by proof by contradiction?
A)Arbitrary compression ratios are achievable
B)Achieving perfect compression is impossible✓
C)Lossless compression guarantees smaller files
D)Data can always be recovered partially
💡 Explanation
Proof by contradiction demonstrates the impossibility of perfect lossless compression because, assuming perfect compression, one can derive that any file could be reduced to zero bytes, which leads to the logical absurdity of data loss; therefore, lossless compression cannot perfectly compress all data, rather than some files being inherently incompressible.
🏆 Up to £1,000 monthly prize pool
Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.
Related Questions
Browse Logic & Puzzles →- An online file-sharing service uses cryptographic hash functions to verify file integrity. Which mechanism explains why detecting even a minor alteration to a stored file becomes highly probable?
- If an online retailer uses linear programming to optimize warehouse packing for minimizing shipping costs given box size constraints, which consequence follows from incorrectly specifying the objective function?
- What happens to the memory usage when a context-free grammar, expressed in Backus-Naur Form, is parsed using the CYK algorithm?
- If a custom DNA sequencing algorithm processes data in overlapping chunks, which consequence follows if the chunk processing sequence contains duplicated segments?
- A distributed sensor network measures temperature and humidity; which outcome suggests temperature and humidity readings from spatially separated sensors are statistically independent?
- If a linear transformation matrix applied to a vector space has an eigenvalue of zero, which outcome is inevitable?
