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GATE Overflow Test Series | Computer Networks | Test 1 | Question: 13

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Consider that $24$ machines need to be connected in a LAN using $5$-port Ethernet switches. Assume that these switches do not have any separate uplink ports. The minimum number of switches needed is _________
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Each switch can connect $4$ machines and it takes one uplink port. So, effectively each switch except the one connecting to the main uplink connects $3$ machines and the one which connects to the main uplink connect to $4$ machines. Thus for $24$ machines we will need $= 1+\left \lceil \dfrac{24-4}{3} \right \rceil = 8$ switches.
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GATE Overflow Test Series | Computer Networks | Test 1 | Question: 15
A pure ALOHA network transmits $\text{100-bit}$ frames on a shared channel of $100\;\text{Kbps}$. The number of frames that will probably survive if system produces $250$ frames per second is ________ (rounded to the nearest integer)
A pure ALOHA network transmits $\text{100-bit}$ frames on a shared channel of $100\;\text{Kbps}$. The number of frames that will probably survive if system produces $250$...
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