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Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2)

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Joined: 20 May 2014
Posts: 282
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Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]  19 Oct 2017, 22:59
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Question Stats:

81% (00:36) correct 18% (01:29) wrong based on 11 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

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[Reveal] Spoiler: OA
Intern
Joined: 19 Oct 2017
Posts: 2
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Kudos [?]: 1 [1] , given: 0

Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]  20 Oct 2017, 00:22
1
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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

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Intern
Joined: 11 Jan 2018
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Kudos [?]: 32 [0], given: 7

Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]  09 Mar 2018, 12:34
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
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Re: Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2) [#permalink]  11 Mar 2018, 07:16
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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Which is greater: (x-2)(x-5)(x+9) (x+1)(x-4)(x-2)

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