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# ab^2

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ab^2 [#permalink]  16 Apr 2018, 15:11
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Question Stats:

96% (00:28) correct 3% (00:48) wrong based on 81 sessions

 Quantity A Quantity B $$ab^2$$ $$a^2b$$

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
[Reveal] Spoiler: OA

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Re: ab^2 [#permalink]  22 Nov 2018, 09:01
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Expert's post
Carcass wrote:
 Quantity A Quantity B $$ab^2$$ $$a^2b$$

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

Let's test some different values of a and b

Case i: a = 1 and b = 1
We get:
Quantity A: ab² = (1)(1²) = 1
Quantity B: a²b = (1²)(1) = 1
In this case, Quantity A is EQUAL to Quantity B

Case ii: a = 2 and b = 1
We get:
Quantity A: ab² = (2)(1²) = 2
Quantity B: a²b = (2²)(1) = 4
In this case, Quantity B is GREATER THAN Quantity A

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Re: ab^2 [#permalink]  23 Nov 2018, 09:25
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KUDOS
Carcass wrote:
 Quantity A Quantity B $$ab^2$$ $$a^2b$$

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

Without any further details this is usually D. We don’t have any constraints or conditions.

Let a = -1 and b = 1

This way -1 * 1 = -1 (quantity A)

Whereas (-1)^2 * 1 = 1 (quantity B)

This way B > A

If inversed where a = 1 and b = -1

It would be A > B

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Re: ab^2 [#permalink]  26 Nov 2018, 21:59
it was interesting
Re: ab^2   [#permalink] 26 Nov 2018, 21:59
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