TASK DEFINITION: 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.
PROBLEM: Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?

Option A: 3:4

Option B: 7:6

Option C: 1:4

Option D: 5:4

Option E: 2:4

SOLUTION: Option A

PROBLEM: Question: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina

Option A: 5/56

Option B: 9/56

Option C: 28/120

Option D: 21/56

Option E: 25/56

SOLUTION: Option C

PROBLEM: Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 756. What is the banker's discount?

Option A: 1240

Option B: 1120

Option C: 1190

Option D: 1806

Option E: None of these

SOLUTION:
Option D