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.

[Q]: Question: How many words can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS.

 Option A: 2154

 Option B: 2454.

 Option C: 2254

 Option D: 2354

 Option E: 1245
[A]: Option B


[Q]: Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 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
[A]: Option E


[Q]: Question: Find the compound ratio of (2:3), (6:11) and (11:4) is

 Option A: 3:2

 Option B: 2:1

 Option C: 1:1

 Option D: 4:5

 Option E: 2:3
[A]:
Option C