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: When n is divided by 19, the remainder is 7. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 7. Z must be divisible by which of the following numbers?

 Option A: 16

 Option B: 18

 Option C: 20

 Option D: 19

 Option E: 22
answer:
Option D


question:
Question: .002/?= .01

 Option A: .2

 Option B: .09

 Option C: .009

 Option D: .0009

 Option E: None of them
answer:
Option A


question:
Question: If Janice was 21 years old z years ago and Lisa will be 19 years old in p years, what was the average (arithmetic mean) of their ages 8 years ago?

 Option A: (z + p

 Option B: (z - p + 24

 Option C: (z - p + 14

 Option D: (z + p + 34

 Option E: (z - p + 24
answer:

Option E