📖 Explanation
To find the potential candidate IP address ranges, we first determine the required subnet size for 1500 computers.
Since 210=1024 and 211=2048, an organization with 1500 computers needs at least 11 host bits. This implies a subnet mask of 32−11=21 bits, or /21.
The ISP's available address space is 202.61.0.0/17. This means the first 17 bits are fixed (202.61.00000000.00000000).
The network address for a /21 subnet must fall within this /17 range. To minimize routing entries, the ISP should aggregate the allocated /21 range within its /17 block.
A /17 block covers IP addresses from 202.61.0.0 to 202.61.127.255.
In binary, the last octet for a /17 is 00000000 to 01111111.
The third octet for 202.61.X.X/21 ranges from 202.61.0.X to 202.61.255.X.
For a /21 subnet, the block size for the third octet is 2(24−21)=23=8.
Possible starting third octets within the /17 range are multiples of 8: 0,8,16,…,120.
Examining the options:
I. 202.61.84.0/21: 84 is not a multiple of 8. This is not a valid starting address for a /21 block.
II. 202.61.104.0/21: 104=13×8. This is a valid starting address within the /17 range.
III. 202.61.64.0/21: 64=8×8. This is a valid starting address within the /17 range.
IV. 202.61.144.0/21: 144>127. This address falls outside the ISP's /17 block.
Therefore, only options II and III are potential candidates.