Wheat has more nutritional value than rye. But since oats have more nutritional value than rice, it follows that wheat has more nutritional value than rice.

Given:
WH>RY
OA>RC

Conclusion: WH>RC

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

A. Wheat and oats have the same nutritional value.---> WH=OA, hence, WH>RC, wrong choice
B. Rye has more nutritional value than oats.--->RY>OA, hence, WH>OA>RC, wrong choice
C. Rye has more nutritional value than rice.--->RY>RC, hence WH>RY>RC, wrong choice
D. Rye and oats have the same nutritional value.--->RY=OA, hence, WH>RY=OA>RC, wrong choice
E. Oats have more nutritional value than wheat---> OA>WH, WH could be less than RC, Correct choice

let :
wheat= W
Rye=R
Oats=O
Rice=B

given : W>R, O>B
conclusion: W>B

A. Wheat and oats have the same nutritional value.--- W=O>B therefore W>B
B. Rye has more nutritional value than oats.---W>R>O>B= W>B
C. Rye has more nutritional value than rice.----W>R>B=W>B
D. Rye and oats have the same nutritional value.----W>R=O>B= W>B
E. Oats have more nutritional value than wheat--- O>W--- INSUFFICIENT
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given
wheat>rye
Oats>rice
wheat>rice
not logically correct IMO E:
Oats have more nutritional value than wheat

Wheat has more nutritional value than rye. But since oats have more nutritional value than rice, it follows that wheat has more nutritional value than rice.

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

A. Wheat and oats have the same nutritional value.
B. Rye has more nutritional value than oats.
C. Rye has more nutritional value than rice.
D. Rye and oats have the same nutritional value.
E. Oats have more nutritional value than wheat

Wheat has more nutritional value than rye. But since oats have more nutritional value than rice, it follows that wheat has more nutritional value than rice.
Any of the following, if introduced into the argument as an additional premise, makes the argument above logically correct EXCEPT:

Given in the context of nutritional value:
Wheat > Rye
Oats > Rice --> Thus --> Wheat > Rice

So possible scenarios are -
1. Wheat > Rye > Oats > Rice
2. Wheat > Oats > Rye > Rice
3. Wheat > Rye = Oats > Rice
4. Wheat = Oats > Rye > Rice

A. Wheat and oats have the same nutritional value. - WRONG. Does not contradicts statement.
B. Rye has more nutritional value than oats. - WRONG. Does not contradicts statement.
C. Rye has more nutritional value than rice. - WRONG. Does not contradicts statement.
D. Rye and oats have the same nutritional value. - WRONG. Does not contradicts statement.
E. Oats have more nutritional value than wheat - CORRECT. Contradicts statement.
Option E has possibilities as follows:
Oats > Wheat > Rye > Rice
Oats > Wheat > Rice > Rye
Oats > Rice > Wheat > Rye which invalidates the condition of argument by breaking the logic.

Alternatively, 'Since' in the argument signifies a must be true condition(causal relationship) here. So, option directly/indirectly contradicting the condition is the correct answer. Hence without even thinking about possible conditions also we can find the answer.

Answer E.
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E. Oats have more nutritional value than wheat...if this is possible then the conclusion cannot be correct


OA:E

Posted from my mobile device

Given : Wheat > Rye and Oat>Rice
Conclusion : Wheat > Rice

Possible options that can be true are

Wheat>Rye=Oat>Rice OR
Wheat>Rye>Oat> Rice OR
Wheat=Oat>Rice or
Wheat > Rye > Rice .

Option E is not possible as shown in the above options

Wheat > rye
Oats > rice

—> wheat > rice. ???

A) Wheat = Oats > rice ( correct)

B) rye > oats
—> wheat > rye> Oats > rice (correct)

C) rye > rice
—> wheat > rice ( correct)

D) rye = oats
Wheat > rye = oats > rice (correct)

E) oats > wheat

It is not logically correct.
—> wheat could have ether more or less nutritional value than rice

The answer is E

Posted from my mobile device

E is my answer.

Oats>Rice,
So, Wheat>Rice

This is possible only when (1) Oats=Wheat or (2) Wheat >Oats.
If Wheat <Oats, we can not certainly say Wheat>Rice.

A. Wheat =oats
Since Oats>Rice (Given in prompt) and
Oats=Wheat (Given in option)
Definitely, Wheat> Rice

B. Rye has more nutritional value than oats.
Since Wheat>Rye (Given in prompt)
Rye>Oats (Given in option)
Oats>Rice (Given in prompt)
So, Wheat>Rye>Oats>Rice
Definitely, Wheat> Rice

C. Rye has more nutritional value than rice.
Since Wheat>Rye (Given in prompt)
Rye>Rice (Given in option)
So, Wheat>Rye>Rice
Definitely, Wheat> Rice
D. Rye and oats have the same nutritional value.
Since Wheat>Rye (Given in prompt)
Rye=Oats (Given in option)
Oats>Rice (Given in prompt)
So, Wheat>Rye>Rice
Definitely, Wheat> Rice

E. Oats have more nutritional value than wheat
Oats>Rice (Given in prompt)
Oats>Wheat (Given in option)
So, we can not certainly say Wheat>Rice Three situations are possible.
(1) Wheat=Rice
(2) Wheat<Rice
(3) Wheat>Rice

So my answer is E

We have
Wheat > Rye
Oats > Rice
Question: Wheat > Rice?

A. Wheat = Oats > Rice
B. Rye > Oats but Wheat > Rye and Rye > Oats so Wheat > Rice
C. Rye > Rice but Wheat > Rye so Wheat > Rice
D. Rye = Oats but Wheat > Rye = Oats > Rice
E. Oats > Wheat - can’t tell if Wheat > Rice or not

Anwswer is E


Sent from my iPhone using GMAT Club Forum mobile app

Nut(Wheat) > Nut(rye) & Nut(oats) > Nut(rice) --> Nut(wheat) > Nut(rice)

A. Wheat and oats have the same nutritional value. --> Correct (wheat = oats > rice)
B. Rye has more nutritional value than oats. --> correct (wheat > rye > oats > rice)
C. Rye has more nutritional value than rice. --> correct (wheat > rye > oats > rice or oats > wheat > rye > rice)
D. Rye and oats have the same nutritional value. --> correct (wheat > rye = oats > rice)
E. Oats have more nutritional value than wheat --> Incorrect (oats > rice > wheat > rye or oats > wheat > rice > rye)

IMO Option E

E

Wheat > Rye
Oats >Rice

E gives,

O>W.

This is the only relationship from which we can't deduce if Wheat>Rice

ARGUMENT
Wheat > Rye
Oats > Rice

A. W = O > Rice
B. Rye > Oats… W > Oats > Rice
C. Rye > Rice… W > Rye > Rice
D. Rye = Oats > Rice… W > O > Rice

Answer (E): O > W… O > Rice… Rice > Wheat or W > Rice

Official Explanation:

Correct Answer: E

The best answer is E. The question asks for a different premise that does not make the argument logically correct. Choice A leaves open the possibility that the conclusion of the argument is false.
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