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.

[EX Q]: 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
[EX A]: Option D

[EX Q]: Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

 Option A: 23 years

 Option B: 24 years

 Option C: 25 years

 Option D: 26 years

 Option E: 27 years
[EX A]: Option D

[EX Q]: Question: From 6 positive numbers and 6 negative numbers, how many groups S of 4 numbers, yielding a positive product, can be formed?

 Option A: 720

 Option B: 625

 Option C: 30

 Option D: 960

 Option E: 255
[EX A]:
Option E