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 W is an integer greater than 6, which of the following must be divisible by 3?

 Option A: W(W+1

 Option B: N(N+2

 Option C: N(N+3

 Option D: N(N+4

 Option E: N(N+5
Option A

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: A box contains SEVEN bulbs out of which 4 are defective. If THREE bulbs are chosen at random, find the probability that atleast one bulb is good

 Option A: 5/38

 Option B: 4/39

 Option C: 4/31

 Option D: 4/35

 Option E: 6/35

Option D