Jeev (72) and Jyoti (74) finished at eight-under, even as South Africa's Louis Oosthuizen atoned for his Masters Tournament heartbreak by cruising to a stylish three-stroke victory.
Jeev and Jyoti though were still the top Asians finishers in the tournament. Gaurav Ghei (71) ended in tied 40th place at two-under 286 and Shiv Kapur (75) was even par for the week and tied 52nd.
Randhawa, Asia's number one in 2002, was in contention for most of the round before dropping five shots on holes 13 and 14. He was still delighted with his best result since the 2011 Panasonic Open India where he placed fifth.
"If you take those two (bad) shots away then I would have finished higher. At least I know why those bad shots came, because the old swing came in. I birdied after those shots so that was a good comeback. All in all I think I'm feeling good. I just need to give it a little bit more time," said Randhawa.
Jeev got off to a flying start with four straight birdies to move into contention but three bogeys in the middle of the round and a double bogey on 16 killed his hopes.
"I had a great start. I think I got ahead of myself and gave a few shots away. I thought I got really unlucky on 16, I hit a great shot in there but it rolled into the water. That set me back and I shot even par. Hopefully it gets better from here," said Singh. More PTI Cor AT