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It is difficult to grow cacti in a humid climate. It is difficult to raise orange trees in a cold climate. In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees.

Type- Must be false
Boil it down- In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees.
-- In most of the country, it is either not humid or not cold

(A) Half of the country is both humid and cold.- Correct; contradicts the final sentence, that says "in more than 50 percent or more of the country, it's easy to grow at least one of cacti/oranges."
(B) Most of the country is hot. - incorrect; Maybe
(C) Some parts of the country are neither cold nor humid. - incorrect; 'Some' could be a small percentage and thus easily can be true
(D) It is not possible to raise cacti in the country.- incorrect;
(E) Most parts of the country are humid. - incorrect; may be true;

Answer A

Question- In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees. --> Does it mean that in most parts, it is easy to grow either cacti or orange but not both?

I would like to drink bourbon or scotch-- I think it means either of them but not both.

AjiteshArun , GMATNinja , MagooshExpert , GMATGuruNY , VeritasPrepBrian , MartyMurray , DmitryFarber , daagh , generis , other experts - please enlighten
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In my opinion, the set logic is still valid here i.e either-or statement can include both. This is how I interpreted the last sentence -
In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees => In most parts of a certain country, it is either not humid (~H) or not cold (~C) (assume 70%). This 70% can include both not humid (~H) and not cold (~C), but can never include both humid (H) and cold (C). So, definitely both humid and cold must be 30% or less.
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Official Explanation -



Where formal logic is concerned, even one word can make a big difference.

The operative word in the stimulus is “most.” If in most parts—that is, in “well beyond 50%”—of this country, it’s either easy to grow cacti (meaning that those parts are not humid) or easy to raise orange trees (meaning that those parts are not cold), then most of the country has to be either not humid, or not cold, or both. For that reason (A) has to be false. If (A) were true—if half of the country were indeed both humid and cold—then at maximum, only the other 50% of the country could grow cacti or raise oranges with the ease that the stimulus describes. And 50% doesn’t qualify as “most.”
Meanwhile, three of the wrong choices could be true, and one of them must be:

(B) The terms of the argument are “humid” and “cold.” “Hot” is never mentioned, so it’s eminently possible for the entire country (let alone most of it) to be hot.

(C) Has to be true. In fact, the “some parts” of which (C) speaks have to comprise the majority—the parts where it’s easy to grow cacti or raise oranges or both.

(D) This statement could be true. The stimulus only requires that it is easy to grow cacti or orange trees in most parts of the country. It could be impossible to grow cacti in the country as long as it is easy to grow orange trees in most parts of the country.

(E) Could be true. If true, then most of the country must not be cold so as to make it easy to raise orange trees there. That’s consistent with the stimulus.

Always a delight to solve such tricky formal logic questions. :-) Very easy to get wrong when in a hurry.

As usual generis hits the nail on its head and then some. +1 for that. :-)
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please help me with option D "It is not possible to raise cacti in the country." Why is it incorrect? The passage states that "In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees." So how impossibility of raising cacti is true?

Thanks in advance!
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please help me with option D "It is not possible to raise cacti in the country." Why is it incorrect? The passage states that "In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees." So how impossibility of raising cacti is true?

Thanks in advance!

Hi,

So lets assume D is correct and "must be false". Hence, it implies that "it is possible to raise cacti in the country." Now per the conclusion, most parts of a certain country means >51% to 100% of the country can grow either cacti or orange. If anywhere from 51 to 100% of the area can grow cacti ,then bolded part is correct. But if 100% of the orange trees can be grown (can be true), then bolded part is not correct. So overall option D is incorrect.
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I would go with AC A

We know that most of the country allows for at least one of the plants to be cultivated.

Therefore, at least 50.1% of the country have to bee either non-humid or non-cold.
If half of the country would be cold and humid, conditions in which neither of the plants grow, the original statement about the majority of the country to be favourable to one of the two plants would hold no longer.

Therefore, for the OS to hold AC A has to be wrong.
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It is difficult to grow cacti in a humid climate. It is difficult to raise orange trees in a cold climate. In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees.

If the statements above are true, which one of the following must be false?



Pre-thinking

We should first note the wording used in the question: must be false.

Second we should pay attention to the wording used in the argument, especially to most parts of and either or


POE:

(A) Half of the country is both humid and cold.
We now that the either A or C situation applies to most of the country. Plus note that most means more than 50%. So this option cannot be true. Correct

(B) Most of the country is hot.
That's possibility. OUT

(C) Some parts of the country are neither cold nor humid.
The argument says that in most parts of a country...So in th remaining parts this scenario could occur. OUT

(D) It is not possible to raise cacti in the country.
Either A or C condition makes this statement valid

(E) Most parts of the country are humid.
same reasoning used in D
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Bunuel The poster of the question Gladiator59 has posted an official explanation in the thread and reasoned the correct answer choice as C. But the system has marked the correct answer as A.

Would you be able to reconcile this?

I marked C.
--
(A) Half of the country is both humid and cold.
(B) Most of the country is hot.
(C) Some parts of the country are neither cold nor humid.
(D) It is not possible to raise cacti in the country.
(E) Most parts of the country are humid.
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Bunuel The poster of the question Gladiator59 has posted an official explanation in the thread and reasoned the correct answer choice as C. But the system has marked the correct answer as A.

Would you be able to reconcile this?

I marked C.
--
(A) Half of the country is both humid and cold.
(B) Most of the country is hot.
(C) Some parts of the country are neither cold nor humid.
(D) It is not possible to raise cacti in the country.
(E) Most parts of the country are humid.

The OE also says that the correct answer is A. Please check again.
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The official explanation has it marked and reasoned for C. I pasted below what I referenced , OFFICIAL Explanation posted by Gladiator59, it is in the threads toward the bottom.
Official Explanation -


Where formal logic is concerned, even one word can make a big difference.

The operative word in the stimulus is “most.” If in most parts—that is, in “well beyond 50%”—of this country, it’s either easy to grow cacti (meaning that those parts are not humid) or easy to raise orange trees (meaning that those parts are not cold), then most of the country has to be either not humid, or not cold, or both. For that reason (A) has to be false. If (A) were true—if half of the country were indeed both humid and cold—then at maximum, only the other 50% of the country could grow cacti or raise oranges with the ease that the stimulus describes. And 50% doesn’t qualify as “most.”
Meanwhile, three of the wrong choices could be true, and one of them must be:

(B) The terms of the argument are “humid” and “cold.” “Hot” is never mentioned, so it’s eminently possible for the entire country (let alone most of it) to be hot.

(C) Has to be true. In fact, the “some parts” of which (C) speaks have to comprise the majority—the parts where it’s easy to grow cacti or raise oranges or both.

(D) This statement could be true. The stimulus only requires that it is easy to grow cacti or orange trees in most parts of the country. It could be impossible to grow cacti in the country as long as it is easy to grow orange trees in most parts of the country.

(E) Could be true. If true, then most of the country must not be cold so as to make it easy to raise orange trees there. That’s consistent with the stimulus.

Always a delight to solve such tricky formal logic questions. Very easy to get wrong when in a hurry.

As usual generis hits the nail on its head and then some. +1 for that.
Bunuel


The OE also says, that the correct answer is A. Please check again.
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The official explanation has it marked and reasoned for C. I pasted below what I referenced , OFFICIAL Explanation posted by Gladiator59, it is in the threads toward the bottom.
Official Explanation -


Where formal logic is concerned, even one word can make a big difference.

The operative word in the stimulus is “most.” If in most parts—that is, in “well beyond 50%”—of this country, it’s either easy to grow cacti (meaning that those parts are not humid) or easy to raise orange trees (meaning that those parts are not cold), then most of the country has to be either not humid, or not cold, or both. For that reason (A) has to be false. If (A) were true—if half of the country were indeed both humid and cold—then at maximum, only the other 50% of the country could grow cacti or raise oranges with the ease that the stimulus describes. And 50% doesn’t qualify as “most.”
Meanwhile, three of the wrong choices could be true, and one of them must be:

(B) The terms of the argument are “humid” and “cold.” “Hot” is never mentioned, so it’s eminently possible for the entire country (let alone most of it) to be hot.

(C) Has to be true. In fact, the “some parts” of which (C) speaks have to comprise the majority—the parts where it’s easy to grow cacti or raise oranges or both.

(D) This statement could be true. The stimulus only requires that it is easy to grow cacti or orange trees in most parts of the country. It could be impossible to grow cacti in the country as long as it is easy to grow orange trees in most parts of the country.

(E) Could be true. If true, then most of the country must not be cold so as to make it easy to raise orange trees there. That’s consistent with the stimulus.

Always a delight to solve such tricky formal logic questions. Very easy to get wrong when in a hurry.

As usual generis hits the nail on its head and then some. +1 for that.


QUESTION:



It is difficult to grow cacti in a humid climate. It is difficult to raise orange trees in a cold climate. In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees.

If the statements above are true, which one of the following must be false?

Official Explanation -



Where formal logic is concerned, even one word can make a big difference.

The operative word in the stimulus is “most.” If in most parts—that is, in “well beyond 50%”—of this country, it’s either easy to grow cacti (meaning that those parts are not humid) or easy to raise orange trees (meaning that those parts are not cold), then most of the country has to be either not humid, or not cold, or both. For that reason (A) has to be false. If (A) were true—if half of the country were indeed both humid and cold—then at maximum, only the other 50% of the country could grow cacti or raise oranges with the ease that the stimulus describes. And 50% doesn’t qualify as “most.”

Meanwhile, three of the wrong choices could be true, and one of them must be:

(B) The terms of the argument are “humid” and “cold.” “Hot” is never mentioned, so it’s eminently possible for the entire country (let alone most of it) to be hot.

(C) Has to be true. In fact, the “some parts” of which (C) speaks have to comprise the majority—the parts where it’s easy to grow cacti or raise oranges or both.

(D) This statement could be true. The stimulus only requires that it is easy to grow cacti or orange trees in most parts of the country. It could be impossible to grow cacti in the country as long as it is easy to grow orange trees in most parts of the country.

(E) Could be true. If true, then most of the country must not be cold so as to make it easy to raise orange trees there. That’s consistent with the stimulus.
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:shock: :dazed :upsidedown My apologizes :please:, not only did I miss that I completely missed the question which one must be false. Makes a lot more sense now, lol.

Bunuel


QUESTION:



It is difficult to grow cacti in a humid climate. It is difficult to raise orange trees in a cold climate. In most parts of a certain country, it is either easy to grow cacti or easy to raise orange trees.

If the statements above are true, which one of the following must be false?

Official Explanation -



Where formal logic is concerned, even one word can make a big difference.

The operative word in the stimulus is “most.” If in most parts—that is, in “well beyond 50%”—of this country, it’s either easy to grow cacti (meaning that those parts are not humid) or easy to raise orange trees (meaning that those parts are not cold), then most of the country has to be either not humid, or not cold, or both. For that reason (A) has to be false. If (A) were true—if half of the country were indeed both humid and cold—then at maximum, only the other 50% of the country could grow cacti or raise oranges with the ease that the stimulus describes. And 50% doesn’t qualify as “most.”

Meanwhile, three of the wrong choices could be true, and one of them must be:

(B) The terms of the argument are “humid” and “cold.” “Hot” is never mentioned, so it’s eminently possible for the entire country (let alone most of it) to be hot.

(C) Has to be true. In fact, the “some parts” of which (C) speaks have to comprise the majority—the parts where it’s easy to grow cacti or raise oranges or both.

(D) This statement could be true. The stimulus only requires that it is easy to grow cacti or orange trees in most parts of the country. It could be impossible to grow cacti in the country as long as it is easy to grow orange trees in most parts of the country.

(E) Could be true. If true, then most of the country must not be cold so as to make it easy to raise orange trees there. That’s consistent with the stimulus.
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