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: Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?

 Option A: 3

 Option B: 5

 Option C: 7

 Option D: 9

 Option E: 11

SOLUTION: Option C

PROBLEM: Question: Two dice are tossed. The probability that the total score is a prime number is:

 Option A: 5/5

 Option B: 5/9

 Option C: 5/1

 Option D: 5/7

 Option E: 5/12

SOLUTION: Option E

PROBLEM: Question: I. a^2 - 9a + 20 = 0,
II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?

 Option A: If a < b

 Option B: If a ≤ b

 Option C: If the relationship between a and b cannot be established

 Option D: If a > b

 Option E: If a ≥ b

SOLUTION:
Option E