The pronoun agreement must match its antecedent in gender; if it is feminine use her, hers and she, and if it is masculine use he, him or his.
In option C the subject doesn’t have gender but is singular (someone), the right sentence is: If someone goes through school studying only science, he/she will complete only a part of their education
In option B the antecedent is “she” (any of the sisters), the right one would be: If any one of the sisters need a ride, she can call me
In option A the antecedent is “child” (neutral subject), the correct sentence would be: A child can increase his/her self-confidence greatly by participating in physical activity.
The correct sentence is option D, because the antecedent is Washington team (plural), it corresponds to subject they, that’s why is proper to use they took advantage of every break.