medium · GMAT Quant

A cloud server processes a data batch of size S megabytes through three optimization routines. First, routine Alpha compresses the batch size to one-third of its input. Second, routine Beta adds a 16 megabyte encryption header. Third, routine Gamma drops 12 megabytes of redundant metadata.

If the final batch size is 44 megabytes, what was the initial batch size S in megabytes?

  1. 40
  2. 84
  3. 120
  4. 144
  5. 168

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