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.

Input: Consider Input: Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

 Option A: 3500

 Option B: 4000

 Option C: 4050

 Option D: 5000

 Option E: 6000

Output: Option B


Input: Consider Input: Question: Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8010/-. Find out the amount that he borrowed.

 Option A: s. 5266

 Option B: s. 5269

 Option C: s. 5228

 Option D: s. 5201

 Option E: s. 52192

Output: Option D


Input: Consider Input: Question: The expression uv+u is odd when the u and v are integers. Which of the following expressions must be even?

 Option A: u

 Option B: v

 Option C: u + v

 Option D: uv - u

 Option E: u + v^2


Output: Option B