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GATE CSE 2026 Session 1 Q56: Valid CIDR blocks for 6000 addresses inside 202.16.0.0/15

Question

An ISP having an address block 202.16.0.0/15 assigns a block of 6000 IP addresses to a client, using the classless internet domain routing (CIDR) super-netting approach. Which of the following address blocks can be assigned by the ISP?

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Answer: A, B, C (official GATE 2026 final answer key)

Concept used: A CIDR block of size 2k2^k must start at a multiple of 2k2^k and lie within the parent block.

First step: 6000 addresses need 213=81922^{13} = 8192, i.e. a /19; a /19 base has a third octet that is a multiple of 32.

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Source: official GATE 2026 Session 1 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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