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: In an examination, 32% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?

 Option A: 975

 Option B: 1020

 Option C: 1100

 Option D: 1243

 Option E: 1525
[A]: Option C


[Q]: Question: A, Band C can do a piece of work in 11 days, 5 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?

 Option A: 5 days

 Option B: 8 days

 Option C: 9 days

 Option D: 10 days

 Option E: 11 days
[A]:
Option A