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: One-tenth of the students at a nursery school are 4 years old or older. If 20 students have not yet reached their third birthday, and a total of 50 students are not between 3 years old and 4 years old, how many children are in the nursery school?

 Option A: 150

 Option B: 300

 Option C: 450

 Option D: 490

 Option E: 620
answer:
Option B


question:
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 5 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

 Option A: 1 ≤ n ≤23

 Option B: 3 ≤ n ≤21

 Option C: 6 ≤ n ≤18

 Option D: 5 ≤ n ≤19

 Option E: 9 ≤ n ≤15
answer:
Option C


question:
Question: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?

 Option A: + 5x - 2 = 0

 Option B: + 5x + 2 = 0

 Option C: - 5x + 2 = 0

 Option D: - 5x - 2 = 0

 Option E: of these
answer:

Option B