GATE CS 2016 Set 2 — Question 50

NAT+2 / -0MediumCache NumericalsMemory Hierarchy & CacheComputer Organization & Architecture

Computer Organization & Architecture → Memory Hierarchy & Cache → Cache Numericals

Last updated 5 September 2026

Question

A file system uses an in-memory cache to cache disk blocks. The miss rate of the cache is shown in the figure. The latency to read a block from the cache is 1 ms and to read a block from the disk is 10 ms. Assume that the cost of checking whether a block exists in the cache is negligible. Available cache sizes are in multiples of 10 MB. The smallest cache size required to ensure an average read latency of less than 6 ms is______MB.

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