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# a > 0 || (–a – 10)(10 + a) || 10

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

a > 0 || (–a – 10)(10 + a) || 10 [#permalink]  06 Apr 2018, 15:30
Expert's post
00:00

Question Stats:

55% (00:40) correct 44% (00:40) wrong based on 9 sessions
$$a > 0$$
 Quantity A Quantity B $$(-a - 10)(10 + a)$$ 10

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.

Drill 1
Question: 5
Page: 507-508
[Reveal] Spoiler: OA
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

Re: a > 0 || (–a – 10)(10 + a) || 10 [#permalink]  15 Apr 2018, 05:29
Expert's post
Explanation

Quantity A to find $$-10a - a^2 - 100 - 10a$$, or $$-a2 - 20a - 100$$.

Anything other than zero to an even power is positive, so $$-a^2$$ is negative.

A negative number minus a positive number (20a) will remain negative.

A negative minus 100 will be even more negative.

So, Quantity A must be negative, and it must be less than Quantity B. The answer is choice (B).

Alternatively, plugging in a few positive values for a will give you, in the parentheses: (negative) times (positive) = negative for Quantity A, except if a = 10, which yields 0 for Quantity A. But Quantity A is still less than Quantity B.
_________________

Sandy
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Re: a > 0 || (–a – 10)(10 + a) || 10   [#permalink] 15 Apr 2018, 05:29
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