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# (1.9)^3

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(1.9)^3 [#permalink]  10 Jun 2018, 07:38
Expert's post
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Question Stats:

87% (00:42) correct 12% (00:00) wrong based on 8 sessions
 Quantity A Quantity B $$(1.9)^3$$ $$(1.999)^2$$

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.
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
Posts: 817
WE: Engineering (Energy and Utilities)
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Kudos [?]: 588 [1] , given: 113

Re: (1.9)^3 [#permalink]  02 Jul 2018, 22:00
1
KUDOS
Carcass wrote:
 Quantity A Quantity B $$(1.9)^3$$ $$(1.999)^2$$

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.

Here;
From the question we can assume QTY A > QTY B

let us assume 1.9 = 2 and 1.999 = 2

Now QTY A = $$2^3 = 8$$

and QTY B = $$2^2 =4$$

Moreover 1.999 will always be less than 2 , similarly 1.9 will always be less than 2

But cube root > square root.

If the question tells us compare between $$(1.9)^2$$ and $$(1.999)^2$$ then in this case $$(1.999)^2 > (1.9)^2$$. This is because the roots of both the QTY are same and 1.999 is more close to 2 than 1.9
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Re: (1.9)^3   [#permalink] 02 Jul 2018, 22:00
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