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.

Input: Consider Input: 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

Output: Option C


Input: Consider Input: 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

Output: Option A


Input: Consider Input: Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 25 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?

 Option A: 5:00

 Option B: 5:34

 Option C: 5:42

 Option D: 6:00

 Option E: 6:24


Output: Option C