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: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is

 Option A: 11

 Option B: 12

 Option C: 9

 Option D: 14

 Option E: 15

SOLUTION: Option C

PROBLEM: Question: If -5 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?

 Option A: -42 < xy < 30

 Option B: -42 < xy < 24

 Option C: -28 < xy < 18

 Option D: -24 < xy < 21

 Option E: -24 < xy < 24

SOLUTION: Option A

PROBLEM: Question: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?

 Option A: None of these

 Option B: 720

 Option C: 420

 Option D: 122

 Option E: Cannot be determined

SOLUTION:
Option B