Question:

Question below is followed by two statements, labelled (A) and (B). Decide whether the data given in the statements is sufficient for answering the question.
Given InformationColumn AColumn B
x = -23x2+2x-1x3+2x2+1

Updated On: Oct 7, 2024
  • The two quantities are equal
  • The quantity in column B is greater
  • The quantity in column A is greater
  • The relationship cannot be determined from the information given.
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The Correct Option is C

Solution and Explanation

\(X = -2\)
Column A:
\(\Rightarrow\;\)\(3x^2+2x-1\)
\(\Rightarrow\;\)\(3\times (-2)^2+2(-2)-1\)
\(\Rightarrow\;\)\(12-4-1\)

\(\Rightarrow\;\)\(7\)

Column B:
\(\Rightarrow\;\)\(x^3+2x^2+1\)
\(\Rightarrow\;\)\((-2)^3+2(-2)^2+1\)
\(\Rightarrow\;\)\(-8+8+1\)
\(\Rightarrow\;\)\(1\)
So, Quantity A > Quantity B

The correct option is (C): The quantity in column A is greater

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