TASK DEFINITION: Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
PROBLEM: Problem: the average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. find the initial number of members in the group ?
Options: a. 87, b. 67, c. 23, d. 75, e. 25

SOLUTION: c

PROBLEM: Problem: bob wants to run a mile in the same time as his sister. if bob ' s time for a mile is currently 11 minutes 20 seconds and his sister ' s time is currently 9 minutes 36 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister ?
Options: a. 3 %, b. 5 %, c. 8 %, d. 10 %, e. 15 %

SOLUTION: e

PROBLEM: Problem: liam is pulled over for speeding just as he is arriving at work. he explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. the officer explains that if liam had driven 5 mph slower for his whole commute, he would have arrived at work exactly on time. if liam ' s commute is 10 miles long, how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute. )
Options: a. 50 mph, b. 45 mph, c. 48 mph, d. 30 mph, e. 60 mph

SOLUTION:
d