N10-005 · Question #483
Which of the following is the minimum subnet mask to allow 172.16.1.5 and 172.16.4.3 to be on the same subnet?
The correct answer is B. /21. To find the minimum (widest) subnet containing both addresses, compare the binary of the third octets: 1 = 00000001 and 4 = 00000100. They share the same first 5 bits (00000xxx), so the network prefix must be at least 16 + 5 = 21 bits. With /21 (255.255.248.0): 172.16.1.5 →…
Question
Which of the following is the minimum subnet mask to allow 172.16.1.5 and 172.16.4.3 to be on the same subnet?
Options
- A/19
- B/21
- C/22
- D/24
How the community answered
(48 responses)- A10% (5)
- B65% (31)
- C4% (2)
- D21% (10)
Explanation
To find the minimum (widest) subnet containing both addresses, compare the binary of the third octets: 1 = 00000001 and 4 = 00000100. They share the same first 5 bits (00000xxx), so the network prefix must be at least 16 + 5 = 21 bits. With /21 (255.255.248.0): 172.16.1.5 → network 172.16.0.0, and 172.16.4.3 → network 172.16.0.0. Both fall in the same /21 subnet (172.16.0.0 – 172.16.7.255). With /22 (255.255.252.0): 172.16.1.5 → 172.16.0.0/22 and 172.16.4.3 → 172.16.4.0/22 - different subnets. Therefore /21 is the minimum mask that places both hosts on the same subnet.
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