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: Question: The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

 Option A: 17

 Option B: 16

 Option C: 15

 Option D: 10

 Option E: 13

Answer: Option D


Question: 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

Answer: Option D


Question: Question: If the average (arithmetic mean) of 4x-5, 8x-6, and 9x+5 is 279, what is the value of x?

 Option A: 18

 Option B: 25

 Option C: 27

 Option D: 29

 Option E: 31

Answer:
Option C