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 age of 17 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is ?
Options: a. 39, b. 41, c. 45, d. 42, e. 50

SOLUTION: b

PROBLEM: Problem: the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 100, then their difference is
Options: a. 19, b. 10, c. 28, d. 27, e. 29

SOLUTION: b

PROBLEM: Problem: a ship 77 km from the shore, springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes. 92 tonnes of water would sink it. but the pumps can throw out 12 tonnes of water per hour. find the average rate of sailing so that the ship may just reach the shore as it begins to sink.
Options: a. 10.5, b. 11, c. 12, d. 13, e. 15

SOLUTION:
a