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Kerala Blasters lost 2-4 after Kwame Peprah was sent off for celebrating his equaliser against Mumbai City.
Mumbai City scored twice in a 4-2 win after Kwame Peprah's sending off shortly after the game was level at 2-2.
Jimenez has scored in three consecutive matches for Kerala Blasters in the ISL.
Kerala Blasters were unbeaten in all three of their away matches this season in the ISL.
Thaer Krouma scored a late equaliser as City came back from 0-2 to make it 2-2.
Blasters, who thrashed Mumbai City FC 8-0 in their opening match, have four points from two matches. Punjab too have four points from two outings.
Noah Sadaoui and Kwame Peprah scored hat-tricks for the Yellow Brigade.
The loss also crushed Mohun Bagan's dream of becoming the first team to defend the ISL Cup and complete a rare double of winning the League Winners' Shield and the title.
City won the two-legged tie 5-2 after a 2-0 win in the second.
Chhangte scored two of City three late goals in a 3-2 win at Fatorda.
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