instruction:
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.
question:
Question: P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?

 Option A: 6 (1/4

 Option B: 21/2 days

 Option C: 7 (3/4

 Option D: 8/5 days

 Option E: 9 (3/4
answer:
Option B


question:
Question: Which of the following is always true for any real number 'a' and 'b'?

 Option A: |ab| = |a||b|

 Option B: |a/b| = |a|/|b|

 Option C: |-ab| < |a||b|

 Option D: |ab| > |a/b|

 Option E: |ab| = -|ab|
answer:
Option A


question:
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?

 Option A: 1448

 Option B: 1440

 Option C: 1478

 Option D: 1477

 Option E: 1432
answer:

Option B