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.
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Question: Question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?

Option A: (x + y

Option B: (y + z

Option C: yz/x

Option D: (2y + 3z

Option E: (xy + z

Answer: Option A

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: A batsman in his 10th innings makes a score of 60, and thereby increases his average by 3. What is his average after the 10th innings? He had never been 'not out'.

Option A: 47

Option B: 37

Option C: 39

Option D: 43

Option E: 33

Answer:
Option E