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: 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
Option B

Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?

Option A: 6400

Option B: 6500

Option C: 7200

Option D: 7500

Option E: None of these
Option A

Question: 10 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?

Option A: 30

Option B: 21

Option C: 18

Option D: 15

Option E: 45
Option E