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: A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 50 minutes later?

 Option A: 2(10^5

 Option B: 5(10^5

 Option C: (2^5

 Option D: (10^5

 Option E: (10^5

SOLUTION: Option C

PROBLEM: Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?

 Option A: a > b

 Option B: a ≥ b

 Option C: a < b

 Option D: a ≤ b

 Option E: a = b or the relationship between a and b cannot be established.

SOLUTION: Option B

PROBLEM: Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is

 Option A: 1/87

 Option B: 1/36

 Option C: 1/18

 Option D: 1/76

 Option E: 1/10

SOLUTION:
Option B