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Body Mass Index (BMI) is calculated by the formula

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Body Mass Index (BMI) is calculated by the formula [#permalink] New post 15 Sep 2017, 07:36
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Body Mass Index (BMI) is calculated by the formula \(\frac{703w}{h^2}\) where w is the weight in pounds and h is height in inches.

Quantity A
Quantity B
The number of pounds gained by a 74-inch-tall person whose BMI increased by 1.0.
The number of pounds lost by a 65-inch-tall person whose BMI decreased by 1.2.


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.
[Reveal] Spoiler: OA

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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 28 Sep 2017, 08:47
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I tried to plug-in some numbers but I don't get the right answer. Anyone willing to show his/her try?
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 28 Sep 2017, 09:04
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IlCreatore wrote:
I tried to plug-in some numbers but I don't get the right answer. Anyone willing to show his/her try?



QTY A

SInce change in BMI increased by 1

Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{74^2}{703}* 1\)

= \(\frac{5476}{703}\)

in QTY B

change in BMI increased by 1.2

Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{65^2}{703}* 1.2\)

= \(\frac{5070}{703}\)

Therefore QTY A> QTY B (since denominator are same in both qty)
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 10 Aug 2018, 09:34
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Calculating BMI is easy with formula.The one thing which help me while calculating bmi is this using both imperial and genric formula
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 14 Jul 2019, 13:23
Carcass wrote:



Body Mass Index (BMI) is calculated by the formula \(\frac{703w}{h^2}\) where w is the weight in pounds and h is height in inches.

Quantity A
Quantity B
The number of pounds gained by a 74-inch-tall person whose BMI increased by 1.0.
The number of pounds lost by a 65-inch-tall person whose BMI decreased by 1.2.


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.



Can you please give explanation for this?
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 14 Jul 2019, 15:41
Expert's post
Hi,

the explanation provided above by pranab01 is pretty neat.

Ask if something particular is still unclear TO YOU

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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 13 Aug 2020, 19:11
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pranab223 wrote:
IlCreatore wrote:
I tried to plug-in some numbers but I don't get the right answer. Anyone willing to show his/her try?



QTY A

SInce change in BMI increased by 1

Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{74^2}{703}* 1\)

= \(\frac{5476}{703}\)


Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{65^2}{703}* 1.2\)

= \(\frac{5070}{703}\)

Therefore QTY A> QTY B (since denominator are same in both qty)



Since we don't know the change in weight, shouldn't the answer be D?

Say the Change in weight for Quantity A is 100 and for Quantity B is 200.

\(\frac{5476}{703} / 100 = \frac{5476}{7.03}\)

\(\frac{5070}{703} / 200 = \frac{5070}{3.015} = \frac{10,140}{7.03}\)

So Qty B is greater.

Ultimately the change in weight can be manipulated to make Quantity A greatere, or maybe even equal to B.
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 02 Sep 2020, 12:45
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pranab223 wrote:
IlCreatore wrote:
I tried to plug-in some numbers but I don't get the right answer. Anyone willing to show his/her try?



QTY A

SInce change in BMI increased by 1

Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{74^2}{703}* 1\)

= \(\frac{5476}{703}\)

in QTY B

change in BMI increased by 1.2

Therefore change in weight =\(\frac{h^2}{703} * change in BMI\)

= \(\frac{65^2}{703}* 1.2\)

= \(\frac{5070}{703}\)

Therefore QTY A> QTY B (since denominator are same in both qty)



LOL!!Such funny explanation,how do you know initial W to find the change?since W is a variable,we cannot determine the relative change as we do not know the initial weight of either A and B,People just see the solution and beleive everything readily.For this reason,answer must be D
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 03 Sep 2020, 05:17
This is how I calculate mine thou it might be unprofessional

Since the first person increase by 1
I assume the old BMI to be 2 and new BMI to be 3, then I used my percentage increase formulae
3-2/2= 703W/74^2
Solving that I get 3.89 QTY A

For the second decrease
I assume the old BMI to be 2.2 and new to be 1 then I used my percentage decrease again
1-2.2/2.2 = 703W/65^2

Solving the above give me 3.278 for QTY B
Then my answer is QTY A
Carcass please help me check this

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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 03 Sep 2020, 06:46
Expert's post
Sorrh you have calculated your body mass or you solved the question?
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Re: Body Mass Index (BMI) is calculated by the formula [#permalink] New post 03 Sep 2020, 06:53
Carcass wrote:
Sorrh you have calculated your body mass or you solved the question?

I tried to solve the question but I got throw off by the increase and decrease so I plug in number for the increase and decrease and I got the answer

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Re: Body Mass Index (BMI) is calculated by the formula   [#permalink] 03 Sep 2020, 06:53
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