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 →- In a simulation of the Towers of Hanoi with 'n' disks, what happens to the number of moves required as the simulation hits the base case (n=1)?
- A search algorithm must locate a student record within a database of 10,000 entries. Which algorithm provides the MOST efficient time complexity in the worst-case scenario?
- If a lossless compression algorithm is designed for genetic sequences with uneven base frequencies, which consequence follows from using Huffman coding?
- If a network switch is configured to forward packets based on MAC address and all possible MAC addresses are assigned, which outcome is unavoidable?
- If a programmer uses dynamic programming to solve the all-pairs shortest path problem for a directed graph, what memory scaling behavior occurs relative to the number of vertices?
- If a water molecule (H₂O) undergoes a rotational transformation, which property remains invariant?
