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.

Question: A 300 m long train crosses a platform in 33 sec while it crosses a signal pole in 18 sec. What is the length of the platform?

 Option A: 286 m

 Option B: 250 m

 Option C: 277 m

 Option D: 278 m

 Option E: 267 m
Option B

Question: Find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively

 Option A: 27

 Option B: 29

 Option C: 33

 Option D: 39

 Option E: 41
Option B

Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 30 and n is not prime, what is the greatest possible value of f(n)?

 Option A: 28

 Option B: 26

 Option C: 20

 Option D: 18

 Option E: 15

Option B