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.

Q: 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

A: Option B
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Q: Question: The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?

 Option A: Rs. 19

 Option B: Rs. 16

 Option C: Rs. 18

 Option D: Rs. 17

 Option E: Rs. 21

A: Option C
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Q: Question: An employee’s annual salary was increased 30%. If her old annual salary equals $30,000 , what was the new salary?

 Option A: $28,000

 Option B: $25,000

 Option C: $20,000

 Option D: $35,000

 Option E: $39,000

A:
Option E
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