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: In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students?

 Option A: 600

 Option B: 650

 Option C: 700

 Option D: 750

 Option E: None of these

SOLUTION: Option A

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: A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 18 inches and the width of the wall is 32 inches, what is the length of the wall, in inches?

 Option A:  15.25

 Option B:  18.25

 Option C:  19.25

 Option D:  20.25

 Option E:  21.25

SOLUTION:
Option D