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Gate2019 cs Q59

59Consider that 15 machines need to be connected in a LAN using 8-port Ethernet switches. Assume that these switches do not have any separate uplink ports. The minimum number of switches needed is__________.

Note – Numerical Type question
  • Option : A
  • Explanation :
    If a switch has 8 ports then it means it can connect maximum 8 host. and 2 switch can connect 16 hosts independently. but we need one port for both of them to connect with each other. so now one- one port is used from both the switches for connecting then total port available free on both the switch is 7. so maximum 14 host can be connected but for the 15th host we need another switch.
    3 switches of ethernet are required to connect 15 computers.
    Hence, 3 is correct answer.
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