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.

[EX Q]: Problem: a, b and c play a cricket match. the ratio of the runs scored by them in the match is a: b = 6: 3 and b: c = 6: 5. if the total runs scored by all of them are 118, the runs scored by b are ?
Options: a. 24, b. 20.13, c. 30.93, d. 20.93, e. 10.93
[EX A]: a

[EX Q]: Problem: the cross - section of a cannel is a trapezium in shape. if the cannel is 12 m wide at the top and 2 m wide at the bottom and the area of cross - section is 4200 sq m, the depth of cannel is ?
Options: a. 500, b. 600, c. 700, d. 800, e. 900
[EX A]: b

[EX Q]: Problem: machine – x produces 50 % of the total output and machine - y produces 75 % of the total output. an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective. what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
Options: a. 0.008, b. 0.1, c. 0.12, d. 0.006, e. 0.007
[EX A]:
d