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: There are 600 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?

 Option A: 100

 Option B: 200

 Option C: 250

 Option D: 300

 Option E: 400
answer:
Option D


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: In a forest 140 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?

 Option A: 150

 Option B: 750

 Option C: 1,250

 Option D: 1,400

 Option E: 2,500
answer:

Option D