I follow all the steps mention in MongoDB installation documents for Ubuntu 16.04.
Steps 1:
sudo apt-key adv --keyserv
The following steps helped me solve the problem of not being able to start mongodb on Ubuntu Server 18.04 LTS
Step 1: First, remove MongoDB from previous if installed:
sudo apt remove --autoremove mongodb-org
Step 2: Remove any mongodb repo list files:
sudo rm /etc/apt/sources.list.d/mongodb*.list
sudo apt update
Step 3: Import the public key used by the package management system:
sudo apt-key adv --keyserver hkp://keyserver.ubuntu.com:80 --recv 9DA31620334BD75D9DCB49F368818C72E52529D4
Step 4: Create a list file for MongoDB:
echo "deb [ arch=amd64 ] https://repo.mongodb.org/apt/ubuntu bionic/mongodb-org/4.0 multiverse" | sudo tee /etc/apt/sources.list.d/mongodb-org-4.0.list
Step 5: Reload local package database:
sudo apt-get update
Step 6: Install the MongoDB packages:
sudo apt-get install -y mongodb-org
Step 7: Start MongoDB:
sudo service mongod start
Step 8: Begin using MongoDB:
mongo
Hope it helps you.