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.

[Q]: 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
[A]: Option D


[Q]: Question: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be

 Option A: 15%

 Option B: 25%

 Option C: 30%

 Option D: 40%

 Option E: 45%
[A]: Option C


[Q]: Question: The ratio of red, yellow, and green jelly beans in a jar is 1:3:4. If the number of jelly beans is increased by 60%, 20%, and 40% respectively, what will be the new ratio?

 Option A: 3:7:12

 Option B: 4:9:14

 Option C: 5:11:15

 Option D: 6:14:17

 Option E: 8:17:24
[A]:
Option B