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DaenerysStormborn
How is D justified?
It is very much possible that addresses were correct in large proportion of mails but they got damaged in transit.

Absolutely - the correct answer could have been:

A large proportion of mail is either incorrectly addressed or damaged in transit.

Otherwise a statement should have been there in the passage that only a small proportion of mail get damaged in transit.
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Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.
If the statements above are true, which one of the following must be true?
(A) A large proportion of the mail that is correctly addressed is damaged in transit.
(B) No incorrectly addressed mail arrives within two business days of being sent.
(C) Most mail that arrives within two business days of being sent is correctly addressed.
(D) A large proportion of mail is incorrectly addressed.
(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent


Please answer with the reasoning
1. 'Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit.'
From this segment we can conclude that a very small proportion of the mail is damaged in transit.

2. 'Overall, however, most mail arrives three business days or more after being sent.'
This sentence can be rephrased to say that more than 50% of the mail arrives three business days or more after being sent.

From 1 and 2, we can conclude that mails may take more than three business days only if they are correctly addressed but damaged in transit or are incorrectly addressed.

(A) The stimulus clearly says that 'nearly all mail that is correctly addresses arrives within two days, Which means very few are damaged in transit. Hence this is wrong.
(B) There is nothing specified about the delivery timelines incorrectly addressed mails. So this is not necessarily true.
(C) Same as (B). We do not have details about incorrectly addressed mails that may reach within two days and how many of them may reach within two days.
(D) Correct choice. As we had concluded, mails take more than 3 business days only if they are correctly addressed but damaged in transit or are incorrectly addressed. Now the stimulus says that 'Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent'. This means a very small proportion of correctly addressed mail is damaged in transit. So the only explanation for most mail arriving after three business days or more is that most mails are incorrectly addressed.
(E) Again, no information provided about the breakup of mails that arrives within three business days. We just know that the total is less than 50% of all mails.
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hey can you plz help me with this question how
If i negate option C then it would be ''for NONE OR UPTO 50% OR LESS THAN 50%'' if i take the possibilty of none then it would be like then it shatters the conclusion as if none is affected then our conclusion that drivers performing best will shattered but if i take the possibility of UPTO 50% OR LESS THAN 50% then our conclusion will be shattered as well as in the argument it is every driver will be affected but argument says ALL DRIVERS WILL BE AFFECTED as by this negation our argument get shattered then why this is wrong .
and if in option C i replace most with every then can it be a answer
i really need you guidance
THANK YOU
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honey1
hey can you plz help me with this question how
If i negate option C then it would be ''for NONE OR UPTO 50% OR LESS THAN 50%'' if i take the possibilty of none then it would be like then it shatters the conclusion as if none is affected then our conclusion that drivers performing best will shattered but if i take the possibility of UPTO 50% OR LESS THAN 50% then our conclusion will be shattered as well as in the argument it is every driver will be affected but argument says ALL DRIVERS WILL BE AFFECTED as by this negation our argument get shattered then why this is wrong .
and if in option C i replace most with every then can it be a answer
i really need you guidance
THANK YOU
Hello, honey1. I think you may be getting tangled up in negation. To be sure, there are some people who use this technique to great effect; there are others, like myself, who prefer to engage directly with the answer choices—i.e. as they are presented. Whatever works for you is the way you should approach a question. Anyway, look at (C) again:

Quote:
(C) Most mail that arrives within two business days of being sent is correctly addressed.
Any time you see superlatives, words ending in -st, be wary before you get behind them. To use a sports analogy, I can give you ten reasons why I like a certain player or team, but could you then turn around and say that I thought that player or team was the best? No, not unless some comparison had been made, moreover one involving more than two entities (since the comparative form, which uses -re or -er, is used instead for comparisons between two entities).

The first word in (C) gives me pause: most. Do we have enough information on other mail, that which is not correctly addressed, to tell whether this statement must be true? No, we do not. For all we know, a lot of incorrectly addressed mail might reach its destination within two business days, and that could skew the balance. mikemcgarry has written a detailed post at the top of the thread that explores various possibilities with numbers. I may not have taken such a refined approach, but I knew (C) was overreaching, all the same.

I hope that helps. Good luck with your studies.

- Andrew
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noboru
Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.
If the statements above are true, which one of the following must be true?
(A) A large proportion of the mail that is correctly addressed is damaged in transit.
(B) No incorrectly addressed mail arrives within two business days of being sent.
(C) Most mail that arrives within two business days of being sent is correctly addressed.
(D) A large proportion of mail is incorrectly addressed.
(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.
fameatop
Hi Mike,
I am not able to understand why option C is incorrect & D is correct. Can you kindly throw some light on the same. Waiting eagerly for your detailed explanation.
Regards, Fame
Apparently this is a practice LSAT Analytical Reasoning question, and it's an excellent question. I'm not sure whether MLSAT is the source, but it is discussed on this page:
https://www.manhattanlsat.com/forums/post407.html

OK, let's think in terms of categories.

Category P === correctly addressed mail
Category Q === incorrectly addressed mail

That's the big breakdown. At the outset, we have no idea of the relative breakdown of these two, but the whole "population" of mail falls into one of these two categories.

Category P has the further breakdown
Category P1 = correct addressed and not damaged ---- this is "nearly all" of Category P, and this arrives "within two business days of being sent"
Category P2 = correctly addressed by damaged in transit --- this is some very small fraction of Category P (whatever the opposite of "nearly all" is!), and it doesn't arrive quickly

We absolutely know that mail in Category P1 arrives within two days. How fast does mail in category Q arrive? We can draw absolutely no conclusion about this. We also have no idea what proportion arrives earlier and what proportion arrives late.

Given the last piece of information --- "most mail arrives three business days or more after being sent" --- from this, we absolutely know that P1 does not account for a majority of mail. If P1 is less than half of mail, we know P2 is going to account for such a small percentage that it doesn't matter, and this means Q must account for the majority of mail. This is precisely what (D) says. This is by far the best answer, the only possible right answer.

Why is (A) wrong? This directly contradicts the statement that NEARLY ALL correct addressed mail arrives within two days and therefore is not damaged.

Why is (C) wrong? Well, this one could be true, but it is not necessarily true --- it doesn't reach the standard of "must be true" for which the question is asking. Consider these two scenarios.

Scenario #1:
P1 = 39%
P2 = 1%
Q = 60%, and all of it arrives late
This scenario is consistent with all the statements in the argument, and this supports answer (C)

Scenario #2:
P1 = 19%
P2 = 1%
Q = 80%, and this consists of two sub-categories
Q1 = 25% --- arrive in two days days
Q2 = 55% --- arrives in three or more days
Now, all the statements in the argument are still true --- it's still true that the majority of mail --- 56% (P2 + Q2) arrives late --- but now if we look at the 44% that arrives on time, 25/44 comes from Q, the incorrectly addressed mail, and 19/44 comes P, the correctly addressed mail. Thus, the majority of mail that arrives on time, 25/44, comes from category Q, the incorrectly addressed mail. This is a scenario totally consistent with the argument in which (C) is false.

Thus, we can construct scenarios consistent with the argument that make (C) either true or false, so it is not a candidate for a "must be true" answer.

The only viable answer is (D), the OA.

Please let me know if anyone reading this has any further questions.

Mike :-)
Hi Mike,

Let the number of mails be 100.
Since 'most' means more than half, let us say 51 out of these 100 take more than 3 days to arrive.
Correctly addressed mails = X
Correctly addressed mails that do not get damaged = 0.95x ( This takes less than 2 days to get delivered)
Correctly addressed mails that get damaged in transit = 0.05x (This takes more than 2 days to get delivered)
Incorrectly addressed mails = Y

Now, 51 mails take 3 or more days to get delivered, so 51 can equal to 0.05X+Y
49 mails get delivered on time, so 0.95x = 49 , X = 51.5 mails ( Lets say 51 or 52)
So Y = 48.5 (48 or 49)

In this scenario, mails with incorrect delivery addresses do not make a larger proportion of the mails than those that were correctly addressed. So I don't see how D can be the right option. Moreover, large is a very vague word. I usually find LSAT questions exceptionally well structured, and this is definitely not one of them.
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Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.

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

The three highlighted words are the keywords that give direction to the passage. Important takeaways:
1. Near all < Overall
2. However gives a 180 turn to the passage content whatever it was before that.

(A) A large proportion of the mail that is correctly addressed is damaged in transit. - WORNG. If point number 1 is misunderstood in reverse, people are likely choose this option.

(B) No incorrectly addressed mail arrives within two business days of being sent. - WRONG. 'No' ruins the option.

(C) Most mail that arrives within two business days of being sent is correctly addressed. - WRONG. Goes in either direction. There's no better explanation than Mike's.

(D) A large proportion of mail is incorrectly addressed. - CORRECT.

(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent. - WRONG. Again two way possibility with the third a faraway possibility. Without much data nothing can be said concretely.

Answer D.
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mikemcgarry
noboru
Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.
If the statements above are true, which one of the following must be true?
(A) A large proportion of the mail that is correctly addressed is damaged in transit.
(B) No incorrectly addressed mail arrives within two business days of being sent.
(C) Most mail that arrives within two business days of being sent is correctly addressed.
(D) A large proportion of mail is incorrectly addressed.
(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.
fameatop
Hi Mike,
I am not able to understand why option C is incorrect & D is correct. Can you kindly throw some light on the same. Waiting eagerly for your detailed explanation.
Regards, Fame
Apparently this is a practice LSAT Analytical Reasoning question, and it's an excellent question. I'm not sure whether MLSAT is the source, but it is discussed on this page:
https://www.manhattanlsat.com/forums/post407.html

OK, let's think in terms of categories.

Category P === correctly addressed mail
Category Q === incorrectly addressed mail

That's the big breakdown. At the outset, we have no idea of the relative breakdown of these two, but the whole "population" of mail falls into one of these two categories.

Category P has the further breakdown
Category P1 = correct addressed and not damaged ---- this is "nearly all" of Category P, and this arrives "within two business days of being sent"
Category P2 = correctly addressed by damaged in transit --- this is some very small fraction of Category P (whatever the opposite of "nearly all" is!), and it doesn't arrive quickly

We absolutely know that mail in Category P1 arrives within two days. How fast does mail in category Q arrive? We can draw absolutely no conclusion about this. We also have no idea what proportion arrives earlier and what proportion arrives late.

Given the last piece of information --- "most mail arrives three business days or more after being sent" --- from this, we absolutely know that P1 does not account for a majority of mail. If P1 is less than half of mail, we know P2 is going to account for such a small percentage that it doesn't matter, and this means Q must account for the majority of mail. This is precisely what (D) says. This is by far the best answer, the only possible right answer.

Why is (A) wrong? This directly contradicts the statement that NEARLY ALL correct addressed mail arrives within two days and therefore is not damaged.

Why is (C) wrong? Well, this one could be true, but it is not necessarily true --- it doesn't reach the standard of "must be true" for which the question is asking. Consider these two scenarios.

Scenario #1:
P1 = 39%
P2 = 1%
Q = 60%, and all of it arrives late
This scenario is consistent with all the statements in the argument, and this supports answer (C)

Scenario #2:
P1 = 19%
P2 = 1%
Q = 80%, and this consists of two sub-categories
Q1 = 25% --- arrive in two days days
Q2 = 55% --- arrives in three or more days
Now, all the statements in the argument are still true --- it's still true that the majority of mail --- 56% (P2 + Q2) arrives late --- but now if we look at the 44% that arrives on time, 25/44 comes from Q, the incorrectly addressed mail, and 19/44 comes P, the correctly addressed mail. Thus, the majority of mail that arrives on time, 25/44, comes from category Q, the incorrectly addressed mail. This is a scenario totally consistent with the argument in which (C) is false.

Thus, we can construct scenarios consistent with the argument that make (C) either true or false, so it is not a candidate for a "must be true" answer.

The only viable answer is (D), the OA.

Please let me know if anyone reading this has any further questions.

Mike :-)

If anything C is still better than D. D says A large proportion of mail is incorrectly addressed.

" most mail arrives three business days or more after being sent " . This might also happen when Large proportion of mail is damaged in transit. ?
There are two conditions for delays
1. Incorrectly adressed package,
2. Damage to correctly addressed package.

doesn't make sense..

thoughts ... GMATNinja VeritasKarishma
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hitman4683v1
Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.

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


(A) A large proportion of the mail that is correctly addressed is damaged in transit.

(B) No incorrectly addressed mail arrives within two business days of being sent.

(C) Most mail that arrives within two business days of being sent is correctly addressed.

(D) A large proportion of mail is incorrectly addressed.

(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.

Source : LSAT PrepTest20 Q#19

Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent.
So if 100 letters are correctly addressed, say 99 of them arrive in 2 days.

In fact, correctly addressed mail takes longer than this only when it is damaged in transit.
So of those 100, only 1 will take 3 or more days.

Overall, however, most mail arrives three business days or more after being sent.
But most mail (more than 50%) arrives after 3 days or more.
But we know that 99 letters arrive in 2 days. This means there are at least 99 letters (could be much much more too) that are addressed incorrectly. Then total 99 + 1 = 100 letters will arrive after 3 days or more.

Which if the following must be true?

(A) A large proportion of the mail that is correctly addressed is damaged in transit.
No. We know that only a small proportion is damaged because nearly all reaches within 2 days.

(B) No incorrectly addressed mail arrives within two business days of being sent.
Not given. We don't know what proportion of incorrectly addressed mail arrives within 2 days.

(C) Most mail that arrives within two business days of being sent is correctly addressed.
Not necessary.

What if we get 100 correctly addressed letters but 1000 incorrectly addressed letters?
Not even if all 100 of these correctly addressed arrive in 2 days, it is possible that 200 of incorrectly addressed arrive in 2 days too. So overall 300 could arrive in 2 days and 800 could arrive in 3 or more days.
All conditions of the argument are met but 66% of the mail that arrives in 2 days in incorrectly addressed.
So (C) is not necessarily true.

(D) A large proportion of mail is incorrectly addressed.
Yes. A "large" proportion is subjective but a minimum of almost 50% is certainly a large proportion. This has to be true.

(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.
No mention of "between 2 and 3 days"

Answer (D)
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Hi Experts, can you please help, how should I get a strong hold on conditional reasoning?
hitman4683v1
Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. In fact, correctly addressed mail takes longer than this only when it is damaged in transit. Overall, however, most mail arrives three business days or more after being sent.

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


(A) A large proportion of the mail that is correctly addressed is damaged in transit.

(B) No incorrectly addressed mail arrives within two business days of being sent.

(C) Most mail that arrives within two business days of being sent is correctly addressed.

(D) A large proportion of mail is incorrectly addressed.

(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.

Source : LSAT PrepTest20 Q#19
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