Similar type here: https://gateoverflow.in/191569/gateforum-pure-aloha-numerical

The Gateway to Computer Science Excellence

+1 vote

Since its pure aloha. So max Bandwidth utilization is 18% of 48Kbps.

And its given, Each station transmits

1024 bits in 50 seconds

$\therefore$ In 1 second --- $\frac{1024}{50}$ bits

Let's say there are N stations.

So N*$\frac{1024}{50}$=18% of 48*1000

N=$\left \lfloor 421.875 \right \rfloor$

$\therefore$ N=421

And its given, Each station transmits

1024 bits in 50 seconds

$\therefore$ In 1 second --- $\frac{1024}{50}$ bits

Let's say there are N stations.

So N*$\frac{1024}{50}$=18% of 48*1000

N=$\left \lfloor 421.875 \right \rfloor$

$\therefore$ N=421

- All categories
- General Aptitude 1.9k
- Engineering Mathematics 7.5k
- Digital Logic 2.9k
- Programming and DS 4.9k
- Algorithms 4.3k
- Theory of Computation 6.2k
- Compiler Design 2.1k
- Databases 4.1k
- CO and Architecture 3.4k
- Computer Networks 4.1k
- Non GATE 1.5k
- Others 1.5k
- Admissions 595
- Exam Queries 576
- Tier 1 Placement Questions 23
- Job Queries 72
- Projects 17

50,647 questions

56,508 answers

195,519 comments

100,950 users