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OLTP-Online Transaction Processing--this is something day to day regular transaction getting processed on database.
for example, live stock trading - is a online transaction process.
OLAP- it is for analytical purpose, purely analysis on historical data to provide reports based on analysis and requirements. (Data ware house and Business Intelligence concept)
It is a group or class of systems that basically track transaction information that happened online. In other words online paper trail containing all the transactions and the details.