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(5+a)(3+a)

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(5+a)(3+a) [#permalink] New post 18 Jul 2018, 16:46
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Question Stats:

85% (00:42) correct 14% (00:28) wrong based on 14 sessions
Quantity A
Quantity B
\((5+a)(3+a)\)
\(a^2 + 2a + 15\)


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

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[Reveal] Spoiler: OA

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Re: (5+a)(3+a) [#permalink] New post 18 Jul 2018, 20:11
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Carcass wrote:
Quantity A
Quantity B
\((5+a)(3+a)\)
\(a^2 + 2a + 15\)


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

Kudos for R.A.E



\((5+a)(3+a) = a^2 + 8a + 15\)

Comparing both quantities

QTY A = \(a^2 + 8a + 15\)

QTY B = \(a^2 + 2a + 15\)

\({a^2 + 15}\) is common in both the quantities and so we can cancel them .

Now QTY A = \(8a\)
QTY B = \(2a\)

But it cannot be proved which QTY will be greater, because if

a is positive then QTY A > QTY B

if a is negative then QTY A < QTY B

therefore option D
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Re: (5+a)(3+a)   [#permalink] 18 Jul 2018, 20:11
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