instruction:
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:
Question: Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?

 Option A: 56

 Option B: 58

 Option C: 60

 Option D: 62

 Option E: 64
answer:
Option C


question:
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture

 Option A: 15 litres

 Option B: 10 litres

 Option C: 30 litres

 Option D: 22 litres

 Option E: 8 litres
answer:
Option B


question:
Question: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

 Option A: 47619

 Option B: 47719

 Option C: 48619

 Option D: 47649

 Option E: 47659
answer:

Option A