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: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

SOLUTION: Option B

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 train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 390 m long?

 Option A: 38 sec

 Option B: 35 sec

 Option C: 44 sec

 Option D: 40 sec

 Option E: 60 sec

SOLUTION:
Option E