The Aggies took an early 7-2 lead just over two minutes into the game, but trailed at halftime 23-21.
The Aggies took a 26-25 lead early in the second half and the score remained close for most of the second half.
Chinemelu Elonu made two point tip shot to give the Aggies their last lead 50-49 with 6:48 left in the game.
The Wildcats went on a 7-0 run over the next two minutes to open up a 56-50 lead.
Donald Sloan made two point layup to pull the Ags back to within one 58-57 with 1:57 left in the game.
A three pointer by Donald Sloan pulled the Ags back to within four 64-60 with 35 second, but Sloan and Josh Carter missed three point attempts in the final 10 seconds and Kansas State sealed a 65-60 win over Texas A&M.
Josh Carter led the Aggies with 14 points and 8 rebounds, but was just 2 of 9 on three-point attempts. Donald Sloan had 12 points and Chinemelu Elonu pulled down 10 rebounds to go with his 9 points.
After losses to Oklahoma and Kansas State, Texas A&M (17-7, 3-6 Big 12) has fallen to nineth place in the Big 12, needing to win at least 5 of its last 7 games to preserve hopes of an NCAA tourney invite. The Aggies have a week to regroup before travelling to Waco to face Baylor in what now becomes a must-win game.
Kansas State (16-7, 5-4 Big 12) has climbed to 4th place in the Big 12 with their five wins in a row and its NCAA tourney prospects look good. The Wildcats host Texas Tech on Wednesday night.