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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2)  Question banks Downloads My Bookmarks Reviews Important topics
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Senior Manager Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 , given: 220

Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink] 00:00

Question Stats: 81% (00:33) correct 18% (01:27) wrong based on 16 sessions
 Quantity A Quantity B (x-2)(x-5)(x+9) (x+1)(x-4)(x-2)

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

Kudos for correct solution.
[Reveal] Spoiler: OA Intern Joined: 19 Oct 2017
Posts: 2
Followers: 0

Kudos [?]: 1  , given: 0

Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]
1
KUDOS
Lazy Logic:

Substitute 0
(x-2)(x-5)(x+9) = 90 && (x+1)(x-4)(x-2) = 8
A is greater

Substitute 5
(x-2)(x-5)(x+9) = 0 && (x+1)(x-4)(x-2) = 18
B is greater

Since no condition exists to constrain the value of x, the answer is
D. The relationship cannot be determined from the information given

Intern Joined: 11 Jan 2018
Posts: 44
Followers: 0

Kudos [?]: 37 , given: 7

Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]
Let's simplify while assuming first (x-2) positive:

We can divided by x-2 both quantities, thereby we'll get

Quantity A: (x-5)(x+9)
Quantity B: (x+1)(x-4)

Let's multiply,

Quantity A: $$x^2$$ + 4x - 45
Quantity B: $$x^2$$ - 3x + 4

After subtracting $$x^2$$ from both quantities and then simplifying,

Quantity A: 7x
Quantity B: 41

As we don't know what is x, so it's just CANNOT BE DETERMINE FROM THE INFORMATION GIVEN.

Also, if we assume (x-2) negative, we'll come up with same situation.

Thus, Choice D correct.
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Intern Joined: 28 Feb 2018
Posts: 30
Followers: 0

Kudos [?]: 2 , given: 0

Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]
Substitute 0
(x-2)(x-5)(x+9) = 90 && (x+1)(x-4)(x-2) = 8
A is greater

Substitute 5
(x-2)(x-5)(x+9) = 0 && (x+1)(x-4)(x-2) = 18
B is greater Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2)   [#permalink] 11 Mar 2018, 07:16
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