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: If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?

 Option A: 35

 Option B: 42

 Option C: 44

 Option D: 46

 Option E: none
answer:
Option A


question:
Question: A, B and C enter into a partnership. They invest Rs. 60,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

 Option A: 9 : 14 : 8

 Option B: 9 : 8 : 14

 Option C: 9 : 4 : 2

 Option D: 9 : 4 : 1

 Option E: 9 : 4 : 5
answer:

Option B