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: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?

 Option A: 235 miles.

 Option B: 245 miles.

 Option C: 225 miles.

 Option D: 265 miles.

 Option E: 275 miles.
[A]: Option C


[Q]: Question: A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.

 Option A: 16800;18900;21000

 Option B: 17800;19800;22500

 Option C: 15500;17600;20500

 Option D: 16400;17200;18900

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


[Q]: Question: You choose at random ten points inside of a circle, so that no two of them are
on any diameter. What is the probability that the circle has some diameter, so that exactly
five points are on one side and exactly five points are on the other?

 Option A: 63/256

 Option B: 1/2

 Option C: 2/3

 Option D: 5/6

 Option E: 1
[A]:
Option E