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a > 0 || (–a – 10)(10 + a) || 10

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Author Message
TAGS:
CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3819
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 72

Kudos [?]: 1217 [0], given: 257

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

Question Stats:

50% (00:50) correct 50% (00:28) wrong based on 2 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

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Sandy
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CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3819
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 72

Kudos [?]: 1217 [0], given: 257

CAT Tests
Re: a > 0 || (–a – 10)(10 + a) || 10 [#permalink] New post 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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