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.

[Q]: Question: 5, 9, 17, 29, 45, ?

 Option A: 65

 Option B: 56

 Option C: 74

 Option D: 57

 Option E: 32
[A]: Option A


[Q]: Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?

 Option A: 6029

 Option B: 6299

 Option C: 6000

 Option D: 6018

 Option E: 60012
[A]: Option C


[Q]: Question: If x and y are integers such that x^2= y and xy = 27, then x – y = ?

 Option A: -30

 Option B: -20

 Option C: -6

 Option D: 5

 Option E: 20
[A]:
Option C