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: Two numbers are in the ratio 3 : 4. If their L.C.M. is 72. what is sum of the numbers?

 Option A: 42

 Option B: 56

 Option C: 76

 Option D: 84

 Option E: 85
[A]: Option A


[Q]: Question: There are 14 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?

 Option A: 288

 Option B: 267

 Option C: 261

 Option D: 211

 Option E: 240
[A]: Option E


[Q]: Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?

 Option A: 6!

 Option B: 6! − (3! + 2!

 Option C: 6! − (3! × 2!

 Option D: 6!/(3! + 2!

 Option E: 6!/(3! × 2!
[A]:
Option E