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: Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:

 Option A: 20

 Option B: 21

 Option C: 28

 Option D: 32

 Option E: None
[A]: Option C


[Q]: Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?

 Option A: 18

 Option B: 20

 Option C: 22

 Option D: 24

 Option E: 25
[A]: Option D


[Q]: Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?

 Option A: 20:9

 Option B: 2:1

 Option C: 3:2

 Option D: 2:3

 Option E: 5:3
[A]:
Option A