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: a bag contains 10 green and 8 white balls. if two balls are drawn simultaneously, the probability that both are of the same colour is
Options: a. 8 / 15, b. 21 / 44, c. 3 / 5, d. 11 / 15, e. 7 / 15

SOLUTION: b

PROBLEM: Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many w hours does it currently take anne to clean the house on her own ?
Options: a. 6, b. 7, c. 8, d. 12, e. 14

SOLUTION: d

PROBLEM: Problem: an army ’ s recruitment process included n rounds of selection tasks. for the first a rounds, the rejection percentage was 60 percent per round. for the next b rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. if there were 10000 people who applied for the army and 350 were finally selected, what was the value of n ?
Options: a. 4, b. 5, c. 6, d. 9, e. 8

SOLUTION:
d