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: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?

 Option A: $18,400

 Option B: $19,500

 Option C: $20,200

 Option D: $20,700

 Option E: $21,100
answer:
Option D


question:
Question: If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?

 Option A: 1

 Option B: 144

 Option C: 81

 Option D: 16

 Option E: 256
answer:
Option B


question:
Question: Let p and q be the root of the quadratic equation x2 - (∝ - 2)x - ∝ -1 =0. what is the minimum possible value of p2 + q2 ?

 Option A: 0

 Option B: 3

 Option C: 4

 Option D: 5

 Option E: 6
answer:

Option D