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: 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

SOLUTION: Option E

PROBLEM: Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 12, and the difference between the total number of strawberries and the total number of blueberries would increase by 76. Each blue box contains how many blueberries?

Option A: 26

Option B: 28

Option C: 30

Option D: 32

Option E: 34

SOLUTION: Option D

PROBLEM: Question: All of the bonds on a certain exchange are designated by a 3-letter, a 4-letter, or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different bonds that can be designate with these codes?

Option A: 26(26^3 + 26^4

Option B: 26(26^3 + 26^5

Option C: 27(26^3 + 26^5

Option D: 27(26^3

Option E: 26^3 + 27(26^5

SOLUTION:
Option D