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Students measured a group of metallic solids of various alloys and rep

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Sajjad1994
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Students measured a group of metallic solids of various alloys and rep [#permalink] New post   08 Aug 2021, 21:00
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IR Butler 2021 - Practice 2 IR Questions Everyday.
Question # 264, Date : 09-Aug-2021
This question is a part of IR Butler 2021. Click here for Details


Students measured a group of metallic solids of various alloys and represented their findings in the table above. In addition to weight and radius, information about shape and magnetism is depicted.

Serial.Weight, ouncesRadius.
inches		ShapeMagnetic?
K014.20.94cylinderNo
K022.30.16coneYes
K034.10.32sphereYes
K046.20.71cylinderYes
K054.30.76cylinderNo
K065.50.54cylinderNo
K074.40.84coneYes
K084.70.37sphereNo
K0910.42sphereNo
K102.70.63cylinderNo
K116.30.67coneNo
K121.10.76sphereNo
(Sort ↕ the table by clicking on the headers)

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­
True False
The median weight is closer to the greatest weight than to the least weight.
Ranking from greatest to least values, K05 has a higher rank according to weight than it does according to radius.
The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.
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The median weight is closer to the greatest weight than to the least weight.: True
Ranking from greatest to least values, K05 has a higher rank according to weight than it does according to radius.: False
The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.: False
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   13 Sep 2021, 08:17
maybe I'm too tired and can't think it straight :dazed

Can anyone help out with the third statement?

Quote:
The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.


Thanks in advance!
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   13 Sep 2021, 12:07
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irisjojojo wrote:
maybe I'm too tired and can't think it straight :dazed

Can anyone help out with the third statement?

Quote:
The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.


Thanks in advance!


Hello irisjojojo

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First, calculate the ratio of magnetic spheres to magnetic cones by sorting the column reflecting magnetism. There is one magnetic sphere and there are two magnetic cones, so this ratio is 1:2. Next, calculate the percentage of solids that are either heavier than 5 ounces or magnetic by sorting first by weight and then by magnetism. There are 3 solids weighing heavier than 5 oz and 4 solids that are magnetic. However, one solid, K04, is both. The formula for "either x or y" is "number of x's + number of y's – number of both x and y.", so the number of solids that are either heavier than 5 oz. or magnetic is 6, which is exactly 1/2 of the solids. Thus, the ratio and the percentage are the same and this statement is true.
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   13 Sep 2021, 20:16
Sajjad1994 wrote:
irisjojojo wrote:
maybe I'm too tired and can't think it straight :dazed

Can anyone help out with the third statement?

Quote:
The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.


Thanks in advance!


Hello irisjojojo

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First, calculate the ratio of magnetic spheres to magnetic cones by sorting the column reflecting magnetism. There is one magnetic sphere and there are two magnetic cones, so this ratio is 1:2. Next, calculate the percentage of solids that are either heavier than 5 ounces or magnetic by sorting first by weight and then by magnetism. There are 3 solids weighing heavier than 5 oz and 4 solids that are magnetic. However, one solid, K04, is both. The formula for "either x or y" is "number of x's + number of y's – number of both x and y.", so the number of solids that are either heavier than 5 oz. or magnetic is 6, which is exactly 1/2 of the solids. Thus, the ratio and the percentage are the same and this statement is true.



I can see how to figure out those numbers, but confuse about the difference between "the ratio of magnetic cones to magnetic sphere" and "the ratio of magnetic sphere to magnetic cones." Is there any difference, or they are actually interchangeable. Thanks! :please: :heart
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   14 Sep 2021, 11:07
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irisjojojo wrote:

I can see how to figure out those numbers, but confuse about the difference between "the ratio of magnetic cones to magnetic sphere" and "the ratio of magnetic sphere to magnetic cones." Is there any difference, or they are actually interchangeable. Thanks! :please: :heart


I am not sure whether I have understood your question or not. The ratios are different and not interchangeable. Here is the question

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First of all, find the number of magnetic cons

Under the shape column, there are three cons but two of them are magnetic cones. So

Magnetic cones = 2

Now find the magnetic spheres

There are four spheres but only one is magnetic

Magnetic sphere = 1

So the ratio of Magnetic cones to magnetic spheres = 2:1 or 2/1

Now the second part of the question asks us to the percentage of solids that are either heavier than 5 ounces or magnetic.

either x or y" means "number of x's + number of y's – number of both x and y."

Number of solids that are heavier than 5 but are not magnetic = 2
Number of solids that are magnetic but not heavier than 5 = 3
Number of solids that are heavier than 5 and also are magnetic = 1 [3+2+1=6]
Total number of solids (total entries) = 12

Ratio is 12:6 = 2:1 =2/1

Both ratios are equal hense the answer is True
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   01 Nov 2022, 14:52
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Sajjad1994 wrote:
irisjojojo wrote:

I can see how to figure out those numbers, but confuse about the difference between "the ratio of magnetic cones to magnetic sphere" and "the ratio of magnetic sphere to magnetic cones." Is there any difference, or they are actually interchangeable. Thanks! :please: :heart


I am not sure whether I have understood your question or not. The ratios are different and not interchangeable. Here is the question

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First of all, find the number of magnetic cons

Under the shape column, there are three cons but two of them are magnetic cones. So

Magnetic cones = 2

Now find the magnetic spheres

There are four spheres but only one is magnetic

Magnetic sphere = 1

So the ratio of Magnetic cones to magnetic spheres = 2:1 or 2/1

Now the second part of the question asks us to the percentage of solids that are either heavier than 5 ounces or magnetic.

either x or y" means "number of x's + number of y's – number of both x and y."

Number of solids that are heavier than 5 but are not magnetic = 2
Number of solids that are magnetic but not heavier than 5 = 3
Number of solids that are heavier than 5 and also are magnetic = 1 [3+2+1=6]
Total number of solids (total entries) = 12

Ratio is 12:6 = 2:1 =2/1

Both ratios are equal hense the answer is True


Sajjad1994

I don’t think your explanation here is correct. The first part about the ratio of magnetic cones to mag spheres is fine, it is 2:1. But the percentage of solids heavier than 5 or magnetic is 50%. If anything we were not told percentage of what? So if we assume it to be the percentage W.r.to total then it would be 6/12 not 12/6. So how is the answer true in that case? Thanks!

Posted from my mobile device
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   02 Nov 2022, 00:58
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S2GmatPrep wrote:
Sajjad1994 wrote:
irisjojojo wrote:

I can see how to figure out those numbers, but confuse about the difference between "the ratio of magnetic cones to magnetic sphere" and "the ratio of magnetic sphere to magnetic cones." Is there any difference, or they are actually interchangeable. Thanks! :please: :heart


I am not sure whether I have understood your question or not. The ratios are different and not interchangeable. Here is the question

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First of all, find the number of magnetic cons

Under the shape column, there are three cons but two of them are magnetic cones. So

Magnetic cones = 2

Now find the magnetic spheres

There are four spheres but only one is magnetic

Magnetic sphere = 1

So the ratio of Magnetic cones to magnetic spheres = 2:1 or 2/1

Now the second part of the question asks us to the percentage of solids that are either heavier than 5 ounces or magnetic.

either x or y" means "number of x's + number of y's – number of both x and y."

Number of solids that are heavier than 5 but are not magnetic = 2
Number of solids that are magnetic but not heavier than 5 = 3
Number of solids that are heavier than 5 and also are magnetic = 1 [3+2+1=6]
Total number of solids (total entries) = 12

Ratio is 12:6 = 2:1 =2/1

Both ratios are equal hense the answer is True


Sajjad1994

I don’t think your explanation here is correct. The first part about the ratio of magnetic cones to mag spheres is fine, it is 2:1. But the percentage of solids heavier than 5 or magnetic is 50%. If anything we were not told percentage of what? So if we assume it to be the percentage W.r.to total then it would be 6/12 not 12/6. So how is the answer true in that case? Thanks!

Posted from my mobile device


I agree with you, I interchanged the ratios. This statement is False in this case. I will look into it whether there is an issue with the statement or the OA.

Thank you for noticing and informing.
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   22 Feb 2024, 16:24
S2GmatPrep wrote:
Sajjad1994 wrote:
irisjojojo wrote:

:please::heart


I am not sure whether I have understood your question or not. The ratios are different and not interchangeable. Here is the question

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First of all, find the number of magnetic cons

Under the shape column, there are three cons but two of them are magnetic cones. So

Magnetic cones = 2

Now find the magnetic spheres

There are four spheres but only one is magnetic

Magnetic sphere = 1

So the ratio of Magnetic cones to magnetic spheres = 2:1 or 2/1

Now the second part of the question asks us to the percentage of solids that are either heavier than 5 ounces or magnetic.

either x or y" means "number of x's + number of y's – number of both x and y."

Number of solids that are heavier than 5 but are not magnetic = 2
Number of solids that are magnetic but not heavier than 5 = 3
Number of solids that are heavier than 5 and also are magnetic = 1 [3+2+1=6]
Total number of solids (total entries) = 12

Ratio is 12:6 = 2:1 =2/1

Both ratios are equal hense the answer is True


Sajjad1994

I don’t think your explanation here is correct. The first part about the ratio of magnetic cones to mag spheres is fine, it is 2:1. But the percentage of solids heavier than 5 or magnetic is 50%. If anything we were not told percentage of what? So if we assume it to be the percentage W.r.to total then it would be 6/12 not 12/6. So how is the answer true in that case? Thanks!

Posted from my mobile device

­Good point @S2GmatPrep . 3rd item seems False.
Leaving my contribution here in the attached images regarding the second statement on why it is false.
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Screenshot from 2024-02-22 20-19-44.png
Screenshot from 2024-02-22 20-19-44.png [ 124.72 KiB | Viewed 239 times ]

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Re: Students measured a group of metallic solids of various alloys and rep [#permalink] New post   23 Feb 2024, 00:25
Sajjad1994 wrote:
irisjojojo wrote:

I can see how to figure out those numbers, but confuse about the difference between "the ratio of magnetic cones to magnetic sphere" and "the ratio of magnetic sphere to magnetic cones." Is there any difference, or they are actually interchangeable. Thanks! :please: :heart


I am not sure whether I have understood your question or not. The ratios are different and not interchangeable. Here is the question

The ratio of magnetic cones to magnetic spheres is equal to the percentage of solids that are either heavier than 5 ounces or magnetic.

First of all, find the number of magnetic cons

Under the shape column, there are three cons but two of them are magnetic cones. So

Magnetic cones = 2

Now find the magnetic spheres

There are four spheres but only one is magnetic

Magnetic sphere = 1

So the ratio of Magnetic cones to magnetic spheres = 2:1 or 2/1

Now the second part of the question asks us to the percentage of solids that are either heavier than 5 ounces or magnetic.

either x or y" means "number of x's + number of y's – number of both x and y."

Number of solids that are heavier than 5 but are not magnetic = 2
Number of solids that are magnetic but not heavier than 5 = 3
Number of solids that are heavier than 5 and also are magnetic = 1 [3+2+1=6]
Total number of solids (total entries) = 12

Ratio is 12:6 = 2:1 =2/1

Both ratios are equal hense the answer is True


Clearly S3 is wrongly framed.

Also look into S2, what exactly does higher rank stands for ? is it numerically higher or status wise higher?
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Re: Students measured a group of metallic solids of various alloys and rep [#permalink]
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