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In the country of XYZ, the I-score of a politician is computed

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KarunMendiratta

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In the country of XYZ, the I-score of a politician is computed [#permalink]

10 Aug 2021, 05:42

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In the country of XYZ, the I-score of a politician is computed from the following formula:

$I = \frac{41ab^2c^3}{d^2}$ , in which the variables

$a, b, c,$ and

$d$ represent various perceived attributes of the politician, all of which are measured with positive numbers.

Mayor Flower’s I-score is 150% higher than that of Councilor Plant; moreover, the values of

$a, b,$ and

$c$ are 60% higher, 40% higher, and 20% lower, respectively, for Mayor Flower than for Councilor Plant. The value of

$d$ for Councilor Plant is

$x$ % higher or lower than the corresponding value for Mayor Flower.

Quantity A	Quantity B
$x$	14.50%

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

Official Answer

A

motion2020

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In the country of XYZ, the I-score of a politician is computed [#permalink]

Updated on: 14 Aug 2021, 09:08

1

revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=5/4=1.25 or 25%

Answer must be A

Originally posted by motion2020 on 10 Aug 2021, 17:16.
Last edited by motion2020 on 14 Aug 2021, 09:08, edited 1 time in total.

Jayz007

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Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

14 Aug 2021, 05:58

1

[quote="motion2020"]revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=sq.root(5/4)=1.25 or 25%

Answer must be A[/It also says that x% is higher or lower what do we conclude from that do we take higher or lower ]

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Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

14 Aug 2021, 06:03

2

Jayz007 wrote:

motion2020 wrote:

revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=sq.root(5/4)=1.25 or 25%

Answer must be A[/It also says that x% is higher or lower what do we conclude from that do we take higher or lower ]

It also says that x% is higher or lower what do we conclude from that do we take higher or lower than the corresponding value of Mayor Flower

motion2020

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Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

14 Aug 2021, 09:10

ok, in my previous post there was sq.root left over, though the value was not under sq.root - revised

IMO, higher/lower means ignore the direction of change (increase or decrease) and focus on the percentage value

Jayz007 wrote:

motion2020 wrote:

revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=sq.root(5/4)=1.25 or 25%

Answer must be A[/It also says that x% is higher or lower what do we conclude from that do we take higher or lower ]

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Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

27 Nov 2021, 21:30

motion2020 wrote:

revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=5/4=1.25 or 25%

Answer must be A

test01

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In the country of XYZ, the I-score of a politician is computed [#permalink]

17 Oct 2023, 07:13

motion2020 wrote:

revised..

let's check change in

$ab^2c^3$

$(1+3/5)*(1+2/5)^2*(1-1/5)^3=8/5 * 49/5^2 * 64/5^3 = (8*49*64)/5^6 = 1.6$
Since I is inversely related with

$d^2$ , every increase in I will result in decrease of

$d^2$ , unless changes of

$a, b, c$ are outweighing the change in I. Change in I is 150% higher for Flower. Change in I is 2.5 vs changes of

$a, b, c$ equal to 1.6. Change requested is lower or higher, hence sq.root(2.5/1.6)=sq.root(25/10 * 10/16)=5/4=1.25 or 25%

Answer must be A

motion2020 can you please explain why are we dividing the 2 numbers? Also, how are you getting 64/5^3? Isn't it supposed to be 512/5^3 ??

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Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

17 Oct 2023, 10:27

Expert Reply

he simply put into formula the decrease pf 20%

$(1-1/5)^3$

or you can simply write instead of fractions which is more complicated, the direct % decrease

0.80

As for the fraction

4/5^3=64/5. I believe he disregarded to raise to the power of three the 5 because all the fractions are with a denominator of 5. we care about the numerator

gmatclubot

Re: In the country of XYZ, the I-score of a politician is computed [#permalink]

17 Oct 2023, 10:27

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