Sindhu, who made the country proud by winning the silver medal at the World Badminton Championship, eased past Ngan Yi Cheung of Hong Kong as she registered a comfortable 21-13, 21-8 victory in just 29 minutes.
The fifth-seeded will now face Nitchaon Jindapol of Thailand for a place in the last eight.
On the other hand, Kashyap defeated Chinese Taipei's Hsu Jen Hao 21-13, 21-16 to progress through to the next round in the men's singles event.
He will be locking horns with number one seeded Son Wan Ho in his last 16-match match.
Praneeth also came out with a spectacular performance as he defeated Hu Yun 21-15, 21-10 to book his place in the pre-quarterfinals where he will be meeting seventh-seeded Tzu Wei Wang of Taiwan.
Also, Sameer Verma also made it to the next round after defeating Tanongsak Saensomboonsuk of Thailand 21-13, 21-23, 21-9 in a three-game thriller that lasted for almost an hour.
He will cross swords with Wong Wing ki Vincent in his second round clash.
However, it was curtains down for Saurabh Verma as he was defeated 21-18, 13-21, 19-21 by Kenta Nishimoto of Japan.
Also, HS Prannoy also made exit from the tournament after going down against world number nine NG Ka Long Angus 17-21, 23-21, 14-21 in a hard fought match which lasted for 64 minutes.
In the men's doubles event, Satwiksairaj Rankireddy and Chirag Shetty defeated the Malaysian pair of Khim Wah Lim and Lin Chia Yu 21-9, 22-24, 21-12 in 50 minutes.
However, Manu Attri and B Sumeeth Reddy bowed out of the men's doubles event after facing 11-21, 10-21 defeat against Korea's Chung Eui Seok and Kim Duk Young.
In the mixed double's event, Ashwini Ponnappa and Satwiksairaj Rankireddy got knocked out of the tournament after facing a 18-21, 19-21 defeat against Tang Chun Man and Tse Ying Suet.
In the women's double's event, Ponnappa and N. Sikki Reddy also made exit from the tournament after facing a 21-19, 13-21, 17-21 defeat at the hands of Fie Cho Soong and Jing Yi Tee of Malaysia. (ANI)