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.
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Question: Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

 Option A: 9!

 Option B: 3!*4!*2!

 Option C: 5!*5!

 Option D: 5!*4!*2!

 Option E: 6!*4!

Answer: Option B


Question: Question: A sum of Rs.96000 is divided into three parts such that the simple interests accrued on them for Eight, two and four years respectively may be equal. Find the amount deposited for 8 years.

 Option A: 14000

 Option B: 16000

 Option C: 12000

 Option D: 20000

 Option E: 13000

Answer: Option C


Question: Question: A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

 Option A: 180 m

 Option B: 200 m

 Option C: 270 m

 Option D: 320 m

 Option E: None

Answer:
Option C