** At the close, the Shanghai Composite index was up 0.7% at 3,227.96.
** The smaller Shenzhen index added 1.4% and the start-up board ChiNext Composite index rose 1.3%.
** Investors on Tuesday focused on signs of an economic recovery from the record slump earlier this year.
This week, China reported strong growth in June industrial profits, which rose at their fastest pace in over a year.
** China reported 68 new coronavirus cases for July 27, up for a fourth consecutive day.