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: the length of a rectangular floor is more than its breadth by 100 %. if rs. 600 is required to paint the floor at the rate of rs. 3 per sq m, then what would be the length of the floor ?
Options: a. 15.0 m., b. 14.4 m., c. 12.0 m., d. 16.2 m., e. 16.5 m.

SOLUTION: b

PROBLEM: Problem: in the figure given below, abc and cde are two identical semi - circles of radius 2 units. b and d are the mid points of the arc abc and cde respectively. what is the area of the shaded region ?
Options: ['a. 4 - 1', 'b. 3 - 1', 'c. 2 - 4', 'd. ( 3 - 1 )', 'e. 2 - 2']

SOLUTION:
c