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: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. ab + b^2
II. (a + b)^2
III. a + b

Option A: I only

Option B: II only

Option C: III only

Option D: I and II only

Option E: I, II, and III

SOLUTION: Option B

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: a train length 100 m going with speed 10m/sec another train 150m long going with speed 15m/sec.the distance between two train is 50m.then how much time second train will take to cross the first train?

Option A: 60sec

Option B: 40sec

Option C: 30sec

Option D: 45sec

Option E: 1min10sec

SOLUTION:
Option A