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: If x and y are negative integers, which of the following statements must be true?
I. (-x)^y is positive.
II. (-x)^(-y) is positive.
III. x^(-y) is positive.

 Option A: None

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III
Option C

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!
Option B

Question: The distance between two planets is 3 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

 Option A:  9.3 × 10^5

 Option B:  9.2 × 10^5

 Option C:  9.3 × 10^7

 Option D:  9.9 × 10^7

 Option E:  10.1 × 10^8

Option B

