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Fred has greater lung capacity than George. Since Harold has greater

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Fred has greater lung capacity than George. Since Harold has greater  [#permalink]

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New post Updated on: 10 Sep 2018, 01:52
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Fred has greater lung capacity than George. Since Harold has greater lung capacity than Joe, it follows that Fred must have greater lung capacity than Joe.

Any of the following, if introduced into the argument as an additional premise, makes the argument logically correct EXCEPT:


A. Fred has greater lung capacity than Harold.

B. George has greater lung capacity than Harold.

C. Fred and Harold have the same lung capacity.

D. Harold has greater lung capacity than George.

E. George and Harold have the same lung capacity.

Originally posted by perseverant on 20 May 2010, 04:47.
Last edited by Bunuel on 10 Sep 2018, 01:52, edited 2 times in total.
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Re: Fred has greater lung capacity than George. Since Harold has greater  [#permalink]

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New post 20 May 2010, 05:08
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1
Quote:
[i]Fred has greater lung capacity than George. Since Harold has greater lung capacity than Joe, it follows that Fred must have greater lung capacity than Joe.

Any of the following, if introduced into the argument as an additional premise, makes the argument logically correct EXCEPT:

a)Fred has greater lung capacity than Harold.
b)George has greater lung capacity than Harold.
c)Fred and Harold have the same lung capacity.
d)Harold has greater lung capacity than George.
e)George and Harold have the same lung capacity.

Could someone explain in detail the best way to tackle this kind of question? I came across this type of question twice and gor it wrong both times.

Thanks!/i]


Now I know there is some symbolic logic method which I learned years ago in college, but I don't remember anymore. Still it is simple. Pretend they are numbers. F>G, H>J, which additional statement makes F>J?
F>H, G>H, F=H, H>G, G=H. So if anything is greater than or equal to H it will be greater than J. That is exactly what the first three statements and the last say. The fourth statement leaves us hanging. Knowing that harold is greater than george does not tell us about the relationship between george and joe, let alone fred and joe.

So statement D. is the exception.

If these comments were helpful to you, please give kudos.
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Re: Fred has greater lung capacity than George. Since Harold has greater  [#permalink]

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New post 20 May 2010, 05:09
1
perseverant wrote:
Fred has greater lung capacity than George. Since Harold has greater lung capacity than Joe, it follows that Fred must have greater lung capacity than Joe.

Any of the following, if introduced into the argument as an additional premise, makes the argument logically correct EXCEPT:

a)Fred has greater lung capacity than Harold.
b)George has greater lung capacity than Harold.
c)Fred and Harold have the same lung capacity.
d)Harold has greater lung capacity than George.
e)George and Harold have the same lung capacity.

Could someone explain in detail the best way to tackle this kind of question? I came across this type of question twice and gor it wrong both times.

Thanks!


Let's use some maths here..
Let the respective capacities of Fred,George, Harold, Joe be F,G,H and J

Given: F > G, and H > J
To prove : F > J
As per the argument we have 4 options, which can prove F > J.

Option 1:
F > H, but given: H > J , so F > J

Option 2:
G > H, but given F > G and H > J ...So F > G and G > H and H > J....so F > J

Option 3:
F = H, but given H > J...So F > J

Option 4: ANSWER
H > G... But we don't know what is the relation of H and F... So We CAN'T prove that F > J

Option 5:
G = H, but given that F > G, so F > H, but H > J...so F > J

Hope it helps..revert if not clear
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Re: Fred has greater lung capacity than George. Since Harold has greater  [#permalink]

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New post 20 May 2010, 07:35
Thanks to both of you, it is clear how I should proceed, now I just need to keep practive this kind of question an get it done in less than 2 mins.
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Re: Fred has greater lung capacity than George. Since Harold has greater l  [#permalink]

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New post 26 Jul 2018, 18:57
1
Given:
1. F > G
2. H > J
3. F > J

Answer evaluation:
A. F > H ; F > H > J. Therefore, F > J
B. G>H; F>G>H>J. Therefore, F>J
C. F=H; F = H>J. Therefore, F>J
D. H>G; if H = 10, G=5, J = 8, F = 7, then F !> J - CORRECT ANSWER
E. G = H; F > G = H > J. Therefore, F > J


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Re: Fred has greater lung capacity than George. Since Harold has greater  [#permalink]

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New post 10 Sep 2018, 01:42
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Re: Fred has greater lung capacity than George. Since Harold has greater &nbs [#permalink] 10 Sep 2018, 01:42
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