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: if a - b = 6 and a 2 + b 2 = 50, find the value of ab.
Options: a. a. 7, b. b. 12, c. c. 15, d. d. 18, e. e. 20

SOLUTION: a

PROBLEM: Problem: a train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.0 km long ?
Options: a. 2.5, b. 3, c. 5, d. 7, e. 9

SOLUTION: a

PROBLEM: Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m, find the area of the rectangle ?
Options: a. 432 sq m, b. 356 sq m, c. 452 sq m, d. 428 sq m, e. 675 sq m

SOLUTION:
e