World No. 5 Saina got the better of Qin Jinping of China 21-18 21-18 in a 43-minute contest in the women's singles match at the Haixia Olympic Sport Center.
In men's singles second round, Commonwealth Games gold medallist Kashyap fought back from a game down to topple China's Xue Song 11-21 21-11 21-13 in 54 minutes, while Srikanth also faced a tough challenge from another Chinese, Gao Huan, before prevailing 21-17 19-21 21-14 in a marathon encounter that lasted an hour and 18 minutes.
Saina will now take on another Di Suo of China in the quarterfinals.
Both the Indian men in the fray today -- Kashyap and Srikanth -- were stretched to three games before they managed to hold on to their nerves to emerge victorious.
Kashyap will next face the winner of the match between world no. 2 Chen Long and Marc Zwiebler while Srikanth will be up against the winner of another second round tie between Zhengming Wang and Kento Momota.
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