Officials of the Archaeological Survey of India (ASI) had found the grenade during a cleaning operation. The 17th century monument is visited by hundreds of tourists and locals.
A cordon was thrown around the area and the NSG was called in after ASI officials alerted the police and the Central Industrial Security Force (CISF), said a senior police official.
"The grenade was safely removed today by the NSG. How old it is can only be ascertained once a detailed report is received from the NSG," said DCP (North) Jatin Narwal.
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