apt and yum

purpose	apt	aptitude	yum
update repo list	apt-get update	aptitude update	none
install package	apt-get install package_name	aptitude install package_name	yum install package_name
intall from file	dpkg -i package.deb		yum install package.rpm rpm -ivh package.rpm
remove package	apt-get remove package_name	aptitude remove package_name	yum remove package_name
check outdated package	apt-get -s upgrade	aptitude -s upgrade	yum check-update
check single outdated package	apt-get -s upgrade packge_name apt-cache policy package_name	aptitude -s upgrade package_name	yum check-update package_name
update package	apt-get upgrade package_name	aptitude package_name	yum update package_name rpm -Uvh package_name
search package	apt-cache search package_name	aptitude search package_name	yum search package_name
list installed package	dpkg -l		yum list installed rpm -qa
show package information	apt-cache show package_name	aptitude show package_name	yum info package_name
remove packages from the local cache directory	apt-get clean	aptitude clean	yum clean all

Reference

ubuntu.com