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: the sector of a circle has radius of 24 cm and central angle 135 o. find its perimeter ?
Options: a. 91.5 cm, b. 11.5 cm, c. 104.6 cm, d. 92.5 cm, e. 99.5 cm

A: c
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Q: Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z, what is the value of z ?
Options: a. 35, b. 42, c. 45, d. 49, e. 54

A: d
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Q: Problem: the ratio between the length and the breadth of a rectangular park is 2: 3 if a man cycling along the boundary of the park at the speed of 10 km / hr completes one round in 18 min, then the area of the park ( in sq. m ) is ?
Options: a. 3000 m, b. 9000 m, c. 540000 m, d. 10000 m, e. 54000 m

A:
c
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