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Sensible batting without showboating was on display at the Kerala School Games' U-19 girls cricket event at the Palace Oval in Tripunithura.
India have moved into second position in the points table with a positive net run rate.
India won by 6 wickets but must beat Australia and Sri Lanka with heavy margins to advance to the semifinals.
Rosemary Mair bagged four wickets as Harmanpreet Kaur-led India lost by 58 runs.
The Kerala all-rounder, who is a hard-hitting batter apart from a handy off-spinner, has so far featured in nine T20Is.
Harmanpreet Kaur will lead a 15-member Indian squad.
The two have got the No Objection Certificates from the Kerala Cricket Association.
Defending champions India open their campaign against Pakistan on July 19.
Asha, who became only the second Kerala woman to play an ODI, claimed figures of 4/21 from 8.4 overs in India's thumping 143-run win.
Both Asha and another Keralite S Sajana are part of the T20I team.
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