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TNPSC Group-I 2021 · Question 126 of 148

A mason uses the expression 2x^3 + 16 to represent the area of the rectangular floor of a room. If the room's length is represented by 2(x + 2), what will the width of the room be in terms of x?

Aptitude - Algebra

  1. A2(x - 2)
  2. B(x^2 - 4)
  3. C(x^2 - 2x + 4)Correct
  4. D(x^2 + 2x - 4)

Answer: C. (x^2 - 2x + 4)

Explanation

Width = (2x^3 + 16) / [2(x + 2)] = (x^3 + 8)/(x + 2) = x^2 - 2x + 4.

Source: TNPSC Group-I Prelims (held 3 Jan 2021) - official paper via examrace.com

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