instruction:
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.
question:
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
answer:
Option B

question:
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 5 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?

Option A: 1 n 23

Option B: 3 n 21

Option C: 6 n 18

Option D: 5 n 19

Option E: 9 n 15
answer:
Option C

question:
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.21,000 earned at the end of 2years from the startingof the business?

Option A: s. 5,000

Option B: s. 5,500

Option C: s. 5,700

Option D: s. 6,300

Option E: s. 7,500
answer:
Option D