Operator Data not working post the Lollipop Update I have a Moto G first gen, 

Post the lollipop update the operator data is NOT working. Its just WiFi which is working. 
What I have done:
Updated to Lollipop - Thru WiFi
Checked - Operator Data Not Working

Solutions which I did, which was recieved from Google Plus community &amp; Moto Care Agent (Live Chat)
1. Cleared Cache
2. Did a soft reset &amp; rebooted With Sim &amp; Without Sim
3. Did a hard reset &amp; rebooted with Sim &amp; Without SIM

PS: My first SIM slot is tampered &amp; not working. I just have the SIM 2 which is working.
Check your APN settings :
Settings -> wireless &amp; networks -> more -> cellular networks -> access point names.

Theses settings are provided by your operator, or you'll easily find them by internet.