What is the most efficient subnet for 31 laptops?

A network administrator is trying to create a subnet, which is the most efficient size possible, for 31 laptops. Which of the following network subnets would be best in this situation?

  1. 10.10.10.0/24
  2. 10.10.10.0/25
  3. 10.10.10.0/26 Source Reference Answer
  4. 10.10.10.0/27

Community Votes

C
100%

100% of anonymous learners picked answer C. Votes are pick records left by other test-takers — they are not the verified answer.

Community Insight

This question tests your ability to identify the most efficient subnet by comparing usable host counts, with the common trap being to confuse total IPs in the subnet with usable IPs after subtracting network and broadcast addresses.

On the CompTIA Network+ N10-008 exam, finding the smallest subnet that supports 31 usable hosts requires knowing the formula 2^(32-prefix) - 2. The community consensus is that 10.10.10.0/26 is correct because it provides 62 usable addresses, while /27 only provides 30.

The most common wrong answer is D (10.10.10.0/27) because it has 32 total IPs, which seems enough for 31 laptops, but only 30 are usable after reserving the network and broadcast addresses.

Community Discussion (6 comments)

Roman_Kwo 👍 9 Selected: C
Should be 10.10.10.0/26 (64IPs - 2 = 62 usable) 10.10.10.0/27 is 32 IPs - 2 = 30 usable. We need to fit 31 IPs therefore it should be /26. Correct me if I am wrong.
Marinos_89 👍 1 Selected: B
32bit - /26= 7 2^7= 64 64-2=62 ips
BigDazza_111 👍 4 Selected: C
C is correct, easy
aed0e20 👍 4
C is the answer
jagoichi 👍 4 Selected: C
/26 gives us 64 minus 2 for BR and Net ID 62 /27 is to few 32 minus 2 = 30
kinny4000 👍 4
We need 31 hosts. /27 = 32 hosts BUT 2 are reserved for network and broadcast addresses (30 hosts) . /26 is the right answer (62 hosts)

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Expert Analysis

Why the Answer Is Correct

Option C (10.10.10.0/26) is correct. A /26 subnet has 2^(32-26) = 64 total addresses, of which 2 are reserved for the network and broadcast addresses, giving 62 usable host addresses. This is the smallest prefix that supports 31 laptops while leaving room for growth.

Why the Other Options Are Wrong

Option A (/24) and Option B (/25) provide 254 and 126 usable addresses respectively, which are larger than necessary and less efficient. Option D (/27) has only 32 total addresses, minus 2 reserved, leaving just 30 usable addresses, which is not enough for 31 laptops.

Community Comment Notes

Several commenters correctly explain the math. Comment 1 notes that /27 gives 30 usable and concludes /26 is needed. Comment 2 highlights that /26 gives 64 minus 2 for broadcast and network ID equals 62. Comment 3 directly compares the host requirements and confirms /27 is too small. The strong vote count for C (94) reflects clear consensus.

Official Reference

Exam Strategy

Memorize the usable host formula: 2^(32-prefix) - 2. On the exam, when asked for the 'most efficient' subnet, start with the smallest prefix that might work, calculate its usable hosts, and if it is insufficient, move to the next larger prefix. In this case, /27 gives 30 usable, so the answer must be /26.

Related Analysis

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