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: Factor (x + 4)3 - 9x - 36 =

 Option A: (x - 4

 Option B: (x + 6

 Option C: (x + 4

 Option D: (x + 4

 Option E: None

SOLUTION: Option D

PROBLEM: Question: If j and k are integers whose product is 400, which of the following statements must be true?

 Option A: n + k > 0

 Option B: n is not equal to k.

 Option C: Either n or k is a multiple of 10.

 Option D: If n is even, then k is odd.

 Option E: If j is odd, then k is even.

SOLUTION: Option E

PROBLEM: Question: In a workshop there are 3 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?

 Option A: 168.

 Option B: 80.

 Option C: 60.

 Option D: 48.

 Option E: 16.

SOLUTION:
Option C