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.
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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: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I. x > y
II. x > y > z
III. x = z

 Option A: I and II

 Option B: I only

 Option C: II only

 Option D: III only

 Option E: None

Answer: Option B


Question: Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many W women are currently in the room?

 Option A: 12

 Option B: 14

 Option C: 15

 Option D: 24

 Option E: 36

Answer:
Option D