TASK DEFINITION: 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.
PROBLEM: Question: X is a prime number bigger than 10. Also, Y = X+X^3+X^5+X^7. What is definitely true about Y?

 Option A: Y is a prime number.

 Option B: Y is odd.

 Option C: Y is even.

 Option D: Y is divisible by 3.

 Option E: Y is divisible by 7.

SOLUTION: Option C

PROBLEM: 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

SOLUTION: Option C

PROBLEM: Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

 Option A: 150

 Option B: 200

 Option C: 250

 Option D: 300

 Option E: 350

SOLUTION:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Option B

