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: A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?

 Option A: 8

 Option B: 24

 Option C: 58

 Option D: 224

 Option E: 210

SOLUTION: Option D

PROBLEM: Question: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?

 Option A: 160 km

 Option B: 180 km

 Option C: 200 km

 Option D: 220 km

 Option E: None

SOLUTION: Option B

PROBLEM: Question: What is the remainder when 7^74 - 5^74 is divided by 8?

 Option A: 0

 Option B: 2

 Option C: 0

 Option D: 3

 Option E: None of these

SOLUTION:
Option C