Keely Hodgkinson made a winning start to her bid for world gold at World Championships
Olympic and world 800m silver medallist Hodgkinson, 21, took victory in her heat in one minute 59.53 seconds.
Hughes, who on Sunday became the first British man to make a world 100m podium for 20 years, won in 19.99 secs.
Dina Asher-Smith, Daryll Neita and Bianca Williams all also progressed in the women's 200m heats.
European champion Hodgkinson moved clear in the closing stages to qualify comfortably for Friday's semi-finals.
Team-mate Jemma Reekie (1:59.71) went through from her heat in second place but Isabelle Boffey (2:01.40) missed out.
Hodgkinson's expected rivals for gold - American Athing Mu (1:59.59) and Kenyan Mary Moraa (1:59.89) - both qualified with wins.
"I'm in really good shape and I am ready for any type of race," Hodgkinson said.
"I need to trust my race and my ability, I'm not really focusing on anyone else."
Britain's Josh Kerr and Neil Gourley will compete for a medal in the men's 1500m in Wednesday's evening session (20:15 BST), which also sees Molly Caudery contest the women's pole vault final (18:30).
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