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: P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.

 Option A: 8

 Option B: 10

 Option C: 14

 Option D: 16

 Option E: 19

SOLUTION: Option B

PROBLEM: Question: If 0 < x < 1 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2

 Option A:  I only

 Option B:  II only

 Option C:  III only

 Option D:  II and III only

 Option E:  I, II, and III

SOLUTION: Option B

PROBLEM: Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 420 feet in circumference.After how many minutes are the three of them together again?

 Option A: 5 mins

 Option B: 10 mins

 Option C: 15 mins

 Option D: 3 mins

 Option E: 7 mins

SOLUTION:
Option E