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: 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: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.

 Option A: Rs 14000

 Option B: Rs 15000

 Option C: Rs 12000

 Option D: Rs 17000

 Option E: None of these
[A]: Option C


[Q]: Question: The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?

 Option A: 20

 Option B: 40

 Option C: 50

 Option D: 80

 Option E: 60
[A]:
Option A