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 mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture

 Option A: 15 litres

 Option B: 10 litres

 Option C: 30 litres

 Option D: 22 litres

 Option E: 8 litres

SOLUTION: Option B

PROBLEM: Question: If a light flashes every 6 seconds, how many times will it flash in 1/4 of an hour?

 Option A: 51

 Option B: 151

 Option C: 251

 Option D: 351

 Option E: 451

SOLUTION: Option B

PROBLEM: Question: Jim and Renjee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renjee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?

 Option A: 5/6

 Option B: 2/3

 Option C: 1/2

 Option D: 5/12

 Option E: 1/3

SOLUTION:
Option E