Also making the halfway cut was Shiv Kapur, who made up for a first-round 74 with an 71.
At three-over 145, he was tied 46th with Martin Kaymer and Rory McIlroy. Jeev missed the cut with a second-round 72 that followed a first-round 75. Also missing the cut at the same number of 147 was US Open champion Graeme McDowell (75, 72).
Luke Donald, who shot a stunning 64 on the first day, was still in lead, though he shared it with teenage sensation Matteo Manassero (66, 70) and Alvaro Quiros (69, 67).