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: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

 Option A: 7500

 Option B: 8500

 Option C: 9000

 Option D: 8000

 Option E: None of these
[A]: Option A


[Q]: Question: Which of the following is always true for any real number 'a' and 'b'?

 Option A: |ab| = |a||b|

 Option B: |a/b| = |a|/|b|

 Option C: |-ab| < |a||b|

 Option D: |ab| > |a/b|

 Option E: |ab| = -|ab|
[A]: Option A


[Q]: Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?

 Option A: 34

 Option B: 38

 Option C: 42

 Option D: 46

 Option E: None
[A]:
Option C