While Sutil managed to make it to Q2 today, Di Resta was eliminated in Q1 only.
Sutil clocked 1:20.569s in Q2 but it was not enough to book his place in the Q3. Di Resta, on the other hand, had to bid goodbye in the first qualifying race after setting a poor timing of 1:22.043s.
It will be the second time that Sahara Force India will not start the race in the top 10.
Sahara Force India had registered their best qualifying performance of the season in the British GP with Di Resta and Sutil setting the fifth and seventh fastest times.
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Mercedes driver Lewis Hamilton will start from pole position for the fourth time this season after setting the fastest time.
The British driver sounded stunned when his team announced over the race radio that he had beaten three-time defending Formula One champion Sebastian Vettel.
The track temperature on the Hungaroring circuit reached 50 degrees Celsius (122 Fahrenheit), and similarly stifling temperatures are expected for tomorrow's race.
Vettel moved to the top in Q2 with Lotus' Kimi Raikkonen and Hamilton close behind. But a late run saw both Mercedes take the top two places.
In a frantic last minute, Sergio Perez, Mark Webber and Felipe Massa made it through to Q3.
Meanwhile, former champion Jenson Button missed the cut for Q3, finishing in 13th.