200-101 · Question #176
You are working in a data center environment and are assigned the address range 10.188.31.0/23. You are asked to develop an IP addressing plan to allow the maximum number of subnets with as many as 30
The correct answer is D. 10.188.31.0/27. The /23 network (10.188.30.0–10.188.31.255) contains 512 total IP addresses. To support up to 30 hosts per subnet, you need at least 5 host bits: 2^5 − 2 = 30 usable addresses. A /27 prefix leaves exactly 5 host bits (32 − 27 = 5), producing 30 usable host addresses per subnet. T
Question
Options
- A10.188.31.0/26
- B10.188.31.0/25
- C10.188.31.0/28
- D10.188.31.0/27
- E10.188.31.0/29
How the community answered
(58 responses)- A7% (4)
- B22% (13)
- C2% (1)
- D66% (38)
- E3% (2)
Explanation
The /23 network (10.188.30.0–10.188.31.255) contains 512 total IP addresses. To support up to 30 hosts per subnet, you need at least 5 host bits: 2^5 − 2 = 30 usable addresses. A /27 prefix leaves exactly 5 host bits (32 − 27 = 5), producing 30 usable host addresses per subnet. This is the longest (most specific) prefix that still meets the 30-host requirement, which maximizes the number of subnets from the /23 space: 512 ÷ 32 = 16 subnets. A /28 yields only 14 usable hosts (insufficient), while /26 and /25 support more hosts per subnet but produce fewer subnets overall - the opposite of the goal.
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