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Expert's post 00:00

Question Stats: 84% (00:41) correct 16% (00:29) wrong based on 25 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.

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________ Director Joined: 20 Apr 2016
Posts: 902
WE: Engineering (Energy and Utilities)
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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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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Re: (5+a)(3+a)   [#permalink] 18 Jul 2018, 20:11
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