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: Two trains, each 100 m long, moving in opposite directions, cross other in 6 sec. If one is moving twice as fast the other, then the speed of the faster train is?

 Option A: 80 km/hr

 Option B: 66 km/hr

 Option C: 60 km/hr

 Option D: 67 km/hr

 Option E: 22 km/hr

SOLUTION: Option A

PROBLEM: Question: If 3^x*4^y = 1,594,323 and x – y = 13, then x = ?

 Option A: 10

 Option B: 11

 Option C: 12

 Option D: 13

 Option E: 14

SOLUTION: Option D

PROBLEM: Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?

 Option A: 80 lakh

 Option B: 50 lakh

 Option C: 72 lakh

 Option D: 60 lakh

 Option E: None of these

SOLUTION:
Option C