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Nearly all mail that is correctly addressed arrives at its destination

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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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New post 20 Aug 2016, 18:22
hello,

if we consider total mail be 100( <2 days & >3 days =100) then ' most mail arrives 3 or more business days after being sent" with number= 51( as most can be 51-100) and
few mails arrive within 2 business days= 49 ( few range is 1-49). so, mails that arrive within 2 business days are correctly addressed without damage(total 49) and mails that arrive 3 or more days can be correctly addressed with damage and not correctly addressed( 50 can be not correctly addressed and one can be correctly addressed with damage or viceversa) . so, we cannot conclude that large proportion can be incorrectly addressed(D)

please explain if my logic is wrong. i have selected answer as C
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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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New post 21 Aug 2016, 15:48
DeepikaV wrote:
hello,

if we consider total mail be 100( <2 days & >3 days =100) then ' most mail arrives 3 or more business days after being sent" with number= 51( as most can be 51-100) and
few mails arrive within 2 business days= 49 ( few range is 1-49). so, mails that arrive within 2 business days are correctly addressed without damage(total 49) and mails that arrive 3 or more days can be correctly addressed with damage and not correctly addressed( 50 can be not correctly addressed and one can be correctly addressed with damage or viceversa) . so, we cannot conclude that large proportion can be incorrectly addressed(D)

please explain if my logic is wrong. i have selected answer as C

Dear DeepikaV,
I'm happy to respond. :-)

First of all, notice that this is a "must be true" question. We can construct scenarios in which (C) is true, but we also can construct scenarios in which (C) is false. That's why (C) doesn't work.

Now, you have propose to have constructed an argument that disproves (D), but think about it. Here is (D):
(D) A large proportion of mail is incorrectly addressed.

Your symbolic representation is a bit unclear, so I will translate what you say into clear symbols.
P = correctly addressed mail
Within this category,
P1 = correctly addressed, undamaged = arrives in two days or less
P2 = correctly addressed, damaged = arrives later
Notice that "nearly all" of P is P1, so P2 is very small.

Q = incorrectly addressed = arrives later

Let's say P = 51%, with P1 = 49% and P2 = 2%. Even this makes P2 bigger than the words seem to suggest, because P1 is supposed to be "nearly all" of P. That would leave us with Q = 49%. Thus, a majority (P2 + Q - 51%) would arrive late.

The trouble is, (D) does not claim that Q is a majority, but only a large proportion. A third, 1/3 of the population, is a large proportion, especially for something that is a clear mistake. Thus, 49% would definitely be a large proportion.

If 10% of car trips resulted in accidents, that would be huge proportion. If 10% of all air flights resulted in crashes, that would be a gigantic proportion. If 5% of people who underwent surgery died, that would a gargantuan proportion. Those are more extreme cases. If 1/3 of the words that a person wrote were misspelled, that would be a large proportion. If a certain dishwasher broke 1/3 of the dishes he washed, that would be a huge proportion. If a certain person, after tying his shoes, found that his laces soon after needed to be retied 1/3 of the time, that would be a large proportion. Those are more ordinary scenarios.

Much in the same way, every individual and every business that sends mail wants to address that mail correctly. If even 1/3 of them are not addressing them correctly, that is a very large failure rate on what should be a simple task. Thus, 49% is a large proportion.

Does this make sense?
Mike :-)
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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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New post 29 Oct 2016, 08:10
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DaenerysStormborn wrote:
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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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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New post 22 Jun 2017, 03:34
1
lalitalalwani wrote:
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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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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New post 22 Nov 2017, 04:51
hitman4683v1 wrote:
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


though not frequently observant in Gmat CR questions Lsat CR questions are full of conditional Reasoning

Lets solve it by conditional reasoning
A conditional reasoning requires a sufficient condition and a necessary condition
such that S-------N
Given
correctly addressed mail takes longer than this only when it is damaged in transit
P.s. in logic ladder ALL lies above MOST and SOME
We can from from ALL to MOST To SOME. But, reverse is not always true.
ex if all waiters serve ice cream we can say that most of the waiters serve ice cream.

Getting back HERE ONLY WHEN INTRODUCES A NECESSARY CONDITION
AND STATEMENT BEFORE IT IS SUFFICIENT CONDITION


is i write it in conditional if then form
it says that IF CORRECTLY ADDRESSED MAIL TAKES LONGER, THEN IT IS DAMAGED IN TRANSIT

a contrapositive of this statement will be IF MAIL IS NOT DAMAGED ,,THEN IT IS NOT CORRECTLY ADDRESSED , IT TAKES LONGER
combine this statement with last statement """Overall, however, most mail arrives three business days or more after being sent""".
we get option d A large proportion of mail is incorrectly addressed.
As most is synonymous with a large proportion ((( greater than 50 percent

There is no need to be stumbled by these kind of questions from Lsat. Till now i havent seen one conditional reasoning
question from Lsat posted on gmatclub , that is solved with the correct approach of conditional reasoning
And, this is fairly observant because conditional reasoning on gmat doesn't holds such a good ground ((( I havent seen any good gmat cr book explaining conditional reasoning tlll now
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Re: Nearly all mail that is correctly addressed arrives at its destination  [#permalink]

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Re: Nearly all mail that is correctly addressed arrives at its destination   [#permalink] 17 Dec 2018, 09:45

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