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: All of the citizens of a country have a six-character or seven-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?

 Option A: 36^13

 Option B: 35(36^7

 Option C: 37(36^6

 Option D: 35(36^6

 Option E: 37(36^7

SOLUTION: Option C

PROBLEM: Question: Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:

 Option A: 20

 Option B: 21

 Option C: 28

 Option D: 32

 Option E: None

SOLUTION: Option C

PROBLEM: Question: A certain pair of used shoes can be repaired for $13.50 and will last for 1 year. A pair of the same kind of shoes can be purchased new for $32 and will last for 2 years. The average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?

 Option A: 17.69

 Option B: 14.85

 Option C: 21.3

 Option D: 16.5

 Option E: 18.51

SOLUTION:
Option E