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: 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
answer:
Option B


question:
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 24, what is the remainder when k is divided by 7?

 Option A: 2

 Option B: 5

 Option C: 6

 Option D: 3

 Option E: 8
answer:
Option D


question:
Question: Mangala completes a piece of work in 18 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is

 Option A: 6 days

 Option B: 7 days

 Option C: 15 days

 Option D: 9 days

 Option E: 11 days
answer:

Option C