I have a raspberry Pi 3, and I bought a kit online which contained an SD card for my Raspberry Pi already, and I used it and it worked fine, though it was a fake brand, my only complaint was the low storage space, so I used my phone's SD card ( A strontium 16 Gb), and formatted it and copied NOOBS to it but it doesn't recognize the card, and no green lights are blinking, and doesn't open in the NOOBS operating selection menu.
You need to check which lights are blinking and which are not and find your case here: http://elinux.org/R-Pi_Troubleshooting
3It's clearly stated in the question that "no green lights are blinking".– goldilocks ♦Jun 8, 2016 at 7:39
Just to clarify the link RishabhN provided has troubleshooting steps for when the red light is on but the green light does not flash & there is nothing on the display. Jun 17, 2017 at 11:44