instruction:
You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
question:
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?

 Option A: 482

 Option B: 268

 Option C: 260

 Option D: 480

 Option E: 632
answer:
Option D


question:
Question: If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-5) ∆ (5 ∆ −5) ?

 Option A: 49/9

 Option B: 49/16

 Option C: 81/16

 Option D: 81/25

 Option E: 100/81
answer:
Option D


question:
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 36 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?

 Option A: a. 40

 Option B: b. 100

 Option C: c. 400

 Option D: d. 1,000

 Option E: e. 10,000
answer:

Option B