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(1111.0)^2 – (999.0)^2

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Carcass
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(1111.0)^2 – (999.0)^2 [#permalink] New post   24 Apr 2019, 00:52
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Quantity A
Quantity B
\((1111.0)^2 – (999.0)^2\)
\((1111.5)^2 – (999.5)^2\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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B
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GreenlightTestPrep
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Re: (1111.0)^2 – (999.0)^2 [#permalink] New post   24 Apr 2019, 04:52
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Carcass wrote:
Quantity A
Quantity B
\((1111.0)^2 – (999.0)^2\)
\((1111.5)^2 – (999.5)^2\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Notice that both quantities are expressed as a difference of squares, which means we can factor them.

QUANTITY A: \((1111.0)^2 – (999.0)^2 = (1111 + 999)(1111 - 999) = (2110)(112)\)

QUANTITY B: \((1111.5)^2 – (999.5)^2 = (1111.5 + 999.5)(1111.5 - 999.5) = (2111)(112)\)

At this point, we can see that Quantity B is greater

Answer: B

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Brent
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(1111.0)^2 (999.0)^2 [#permalink] New post   13 Aug 2022, 15:42
Not sure if this is right, but we may use a small-scale experiment:

QA: 11^2 - 9^2 = 121 - 81 = 40

QB: 11.5^2 - 9.5^2 = 132.25 - 90.25 = 42

B > A
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gmatclubot
(1111.0)^2 (999.0)^2 [#permalink]
13 Aug 2022, 15:42
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