Question 1
Link to questionA company is implementing a data deduplication strategy to optimize its storage resources. They have a dataset consisting of 1,000,000 files, with an average file size of 2 MB. After applying a deduplication technique, they find that 70% of the files are duplicates. If the deduplication process reduces the storage requirement by 60%, what will be the total storage space required after deduplication, assuming no additional data is added?
800,000 MB
1,200,000 MB
1,600,000 MB
2,000,000 MB
Show answer and explanation
Correct answer
800,000 MB
\\[ \\text{Total Size} = \\text{Number of Files} \\times \\text{Average File Size} = 1,000,000 \\times 2 \\text{ MB} = 2,000,000 \\text{ MB} \\] Next, we need to determine how many files are unique after deduplication. Given that 70% of the files are duplicates, this means that only 30% of the files are unique. The number of unique files can be calculated as: \\[ \\text{Unique Files} = \\text{Total Files} \\times (1 - \\text{Duplicate Percentage}) = 1,000,000 \\times 0.30 = 300,000 \\text{ files} \\] Now, we calculate the total size of the unique files: \\[ \\text{Size of Unique Files} = \\text{Unique Files} \\times \\text{Average File Size} = 300,000 \\times 2 \\text{ MB} = 600,000 \\text{ MB} \\] After deduplication, the company also experiences a 60% reduction in storage requirements. To find the total storage space required after this reduction, we can calculate: \\[ \\text{Storage After Deduplication} = \\text{Size of Unique Files} \\times (1 - \\text{Reduction Percentage}) = 600,000 \\text{ MB} \\times (1 - 0.60) = 600,000 \\text{ MB} \\times 0.40 = 240,000 \\text{ MB} \\] However, this calculation is incorrect as it does not consider the total storage before deduplication. Instead, we should apply the reduction to the original total size: \\[ \\text{Storage After Deduplication} = \\text{Total Size} \\times (1 - \\text{Reduction Percentage}) = 2,000,000 \\text{ MB} \\times (1 - 0.60) = 2,000,000 \\text{ MB} \\times 0.40 = 800,000 \\text{ MB} \\] Thus, the total storage space required after deduplication is 800,000 MB. This scenario illustrates the importance of understanding both the impact of deduplication on file storage and the calculations involved in determining the resultant storage needs. Deduplication techniques are crucial for optimizing storage efficiency, especially in environments with a high volume of redundant data.
