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Question

Data Interpretation Question on Data Sufficiency

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
A

The two quantities are equal

B

The quantity in column B is greater

C

The quantity in column A is greater

D

The relationship cannot be determined from the information given.

Answer

The quantity in column A is greater

Explanation

Solution

X=2X = -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