Answer is $\mathrm{Option}$ $\mathrm{D}$
We know that if we AND netmask with IP address we get the Network ID
A. $10.105.1.113$ AND $255.255.255.0$ = $10.105.1.0$
$10.105.1.91$ AND $255.255.255.0$ = $10.105.1.0$
So, both have the same NetID hence they belong to the same network
B. $10.105.1.$$0111$ $0001$ AND $255.255.255.10000000$ = $10.105.1.0$
$10.105.1.$$0101$ $0011$ AND $255.255.255.10000000$ = $10.105.1.0$
So, both have the same NetID hence they belong to the same network
C. $10.105.1.$$0111$ $0001$ AND $255.255.255.11000000$ = $10.105.1.64$
$10.105.1.$$0101$ $0011$ AND $255.255.255.11000000$ = $10.105.1.64$
So, both have the same NetID hence they belong to the same network
D. $10.105.1.$$0111$ $0001$ AND $255.255.255.11100000$ = $10.105.1.96$
$10.105.1.$$0101$ $0011$ AND $255.255.255.11100000$ = $10.105.1.64$
So, both have the different NetID hence they belong to different network hence ,this cannot be used
Similar question : https://gateoverflow.in/2349/gate-cse-2010-question-47
They just copied the gate 2010 question