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: In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

 Option A: 5

 Option B: 6

 Option C: 7

 Option D: 8

 Option E: 10
answer:
Option E


question:
Question: When p is divided by 9, the remainder is 7. All of the following are possible values of p, except for which of the following?

 Option A: 16

 Option B: 34

 Option C: 52

 Option D: 60

 Option E: 70
answer:
Option D


question:
Question: How many positive factors do 120 and 96 have in common?

 Option A: 8

 Option B: 12

 Option C: 16

 Option D: 18

 Option E: 24
answer:

Option A