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.

[Q]: Problem: a solution of 70 litres contains oil and water in the ratio 9: x. if 6 litres of water is added to the solution, the ratio becomes 6: 4, find the value of x ?
Options: a. 6, b. 8.5, c. 9, d. 6.5, e. 5
[A]: e


[Q]: Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 3, – 4 ), k = ( – 3, 1 ), l = ( 5, 7 ), and m = ( 5, – 4 ). what is its perimeter ?
Options: a. 34, b. 36, c. 38, d. 40, e. ( f ) 42
[A]: a


[Q]: Problem: two women can do a work in 4 days. six men can complete the same work in 3 days. what is the ratio between the capacity of a man and a woman ?
Options: a. 1: 2, b. 2: 1, c. 4: 9, d. 3: 2, e. none of these
[A]:
c