Solution

To match the sportspersons with their respective sports: a) Manpreet Kaur - She is associated with athletics, particularly shot put. So Manpreet Kaur (a) matches with Shot put (i). b) Avinash Sable - He is known as a steeplechase athlete, which falls under the category of athletics. So Avinash Sable (b) matches with Athlete (ii), assuming 'Athlete' here refers to track and field events. c) Mirabai Chanu - She is an Indian weightlifter. So Mirabai Chanu (c) matches with Weightlifting (iv). d) Pooja Jatyan - The name Pooja Jatyan is not widely recognized in archery or weightlifting at my last update; however, given the options, it's likely that she could be associated with either of the remaining sports. Without current information or context, I would not be able to definitively match her to a sport.  However, in the context of matching these sportspersons to the listed sports and considering common Indian names in these sports: d) Pooja Jatyan - Assuming 'Athlete' here specifically refers to track and field and given the remaining option is 'Archer' (iii), this would be the best guess for Pooja Jatyan in the absence of up-to-date information or if no other sport is fitting for the name provided. Therefore, the probable matches, based on the information available at my last update, would be: a-i, b-ii, c-iv, d-iii.