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# (5+a)(3+a)

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Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
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(5+a)(3+a) [#permalink]  18 Jul 2018, 16:46
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Question Stats:

62% (00:47) correct 37% (00:35) wrong based on 69 sessions
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1342 [1] , given: 251

Re: (5+a)(3+a) [#permalink]  18 Jul 2018, 20:11
1
KUDOS
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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