BSNL Penta TPad 701C Android ICS - Play store closes immediately after opening.
The ROM that BSNL customer care provided might not have GApps installed. You can download a relevant version of GApps from goo.im/gapps.  Based on the information you had provided, you can use gapps-ics-20120429-signed.zip. 

Download that ZIP file and place it in your SD card. Install ROMManager from their site. Once installed, choose install ZIP option and select the ZIP file.