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: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?

 Option A: 1887 ways

 Option B: 1440 ways

 Option C: 1657 ways

 Option D: 1652 ways

 Option E: 6745 ways

SOLUTION: Option B

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: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?

 Option A: 18 hours

 Option B: 28 hours

 Option C: 98 hours

 Option D: 16 hours

 Option E: 12 hours

SOLUTION:
Option B