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.

[EX Q]: 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
[EX A]: Option B

[EX Q]: Question: How much time does a train 150 metres long running at 90 km/hr take to pass a pole?

 Option A: 7.9s

 Option B: 6s

 Option C: 7.5s

 Option D: 7.6s

 Option E: 7.4s
[EX A]: Option B

[EX Q]: Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Dhoni ,Kamal, Gokul, and Dinesh get lockers with the numbers 50, 400, 150, and 25, respectively, who is the most popular student?

 Option A: Dhoni

 Option B: Kamal

 Option C: Gokul

 Option D: Dinesh

 Option E: They have equal popularity
[EX A]:
Option C