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: 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
answer:
Option C

question:
Question: A mall charges 50 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a Rahul parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?

Option A: $25

Option B: $12.

Option C: $23.5

Option D: $24.5.

Option E: $25.5
answer:
Option A

question:
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.

Option A: 1/2

Option B: 1/4

Option C: 1/8

Option D: 1/16

Option E: 1/32
answer:
Option A