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# Nearly all mail that is correctly addressed arrives at its destination

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

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02 Oct 2009, 04:45
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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.

Source : LSAT PrepTest20 Q#19
[Reveal] Spoiler: OA
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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02 Oct 2009, 04:57
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Oooh, an LSAT question.

Most correctly addressed (CA) mail ---> 2 days or less
CA Damaged in transit ---> More than 2 days
Most mail takes more than 2 days

D is the correct answer. Mail only takes longer than 2 days if it is damaged (and CA) or if it is incorrectly addressed. Since nearly all CA mail is < 2 days, we know that most mail being delivered is incorrectly addressed.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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02 Oct 2009, 07:36
E seems to be correct.
Nearly all correctly addressed mail reaches within 2 days. Most of the mail reaches in 3 or more days. So, not much mail reaches in 2-3 days.
This implies that more mail reaches in 2 or less days than does in 2-3 days.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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02 Oct 2009, 08:22
rkassal wrote:
E seems to be correct.
Nearly all correctly addressed mail reaches within 2 days. Most of the mail reaches in 3 or more days. So, not much mail reaches in 2-3 days.
This implies that more mail reaches in 2 or less days than does in 2-3 days.

Nearly all CA mail reaches within 2 days.

Say we have 100 pieces of mail.

Most mail (>50%) arrives in more than 3 days.

51 pieces are either incorrectly addressed or damaged.

So either a majority of the mail is damaged and correctly addressed or it is incorrectly addressed. Only the latter is an answer choice.

OA is D. I checked my old LSAT prep test.

E is wrong because you can't assume that not much mail arrives in 2-3 days. What if 90% of correctly addressed is damaged and takes 3 days? But 95% of mail is incorrectly addressed?
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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02 Oct 2009, 11:57
Actually I too dont know the answer. Picked it up from a certain forum, where there was a big argument for the same...
I too feel the answer to be C. Here is my explanation:

C - Mails that arrive in 2days should be correctly addressed and not damaged ones. In other words, if a mail has reached in 2 days then it is correctly addressed and not damaged and that is what is the option. The premise states clearly that if a mail is damaged it will take greater than 2 days. I am not considering incorrectly addressed mails at all since, the time taken for them hasnt been mentioned at all
D - The starting sample space could very well be anything
c. Any mixture between a and b
D would surely hold true for "b",
never for "a" and
in certain cases for "c"
(E.g: % of incorrect mails exceeds 60% of total and the rest is all correct mails with no damage
it would fail when Incorrect percentage is say 25% and correct+undamaged is 37.5%(50% damaged of 75% correct mails))
Therefore, unlike option C, D doesn't satisfy the must be true criterion stated in the question stem fully
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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02 Oct 2009, 12:16
Re: C

Most of the mail arriving within 2 days could be incorrectly addressed. This confuses sufficient and necessary conditions.

If the mail is correctly addressed then most will arrive within 2 days.
If it doesn't arrive within 2 days it was not correctly addressed. This is the contrapositive and the key to the problem.

Since the majority of the mail didn't arrive within 2 days it is incorrectly addressed. D.

We know that the majority of mail that is correctly addressed is undamaged per the stimulus so this isn't really an issue.

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

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02 Oct 2009, 17:39
hypermeganet wrote:
Re: C

Most of the mail arriving within 2 days could be incorrectly addressed. This confuses sufficient and necessary conditions.

If the mail is correctly addressed then most will arrive within 2 days.
If it doesn't arrive within 2 days it was not correctly addressed. This is the contrapositive and the key to the problem.

Since the majority of the mail didn't arrive within 2 days it is incorrectly addressed. D.

We know that the majority of mail that is correctly addressed is undamaged per the stimulus so this isn't really an issue.

Does this help?

Could you please elaborate more on why not 'C'

C states most of the mail delivered within 2 Business days are correctly addressed which is try

Lets take a sample

out of 100 mails,
since most mails arrive greater than 3 days out of 100 , most of the mails should incorrectly addressed
- agreed, which is given by D

Consider C which says most of the mail delivered within 2 business days are correctly addressed. If D is true then C is true as well.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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05 Oct 2009, 13:33
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I will try and do my best to answer this one again. Since this is LSAT logic it is really far more advanced than anything you'll see on the GMAT. I'm getting -0 CR on my GMAT practices and this problem is probably 10 times harder than anything I've seen in GMAT prep.

Let's break down the stimulus:

Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent.

If mail is correctly addressed then it arrives within 2 days.
If mail does not arrive within 2 days it is not correctly addressed.

In fact, correctly addressed mail takes longer than this only when it is damaged in transit.

If correctly addressed mail does not arrive within 2 days then it is damaged.

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?

So we know that if mail is correctly addressed it arrives within 2 days unless it is damaged. We also know that nearly ALL correctly addressed mail arrives within 2 days, meaning that most correctly addressed mail is NOT damaged.

How else can we account for the fact that mail takes longer than 2 days? It must be incorrectly addressed. D.

So, why is C wrong?

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

This is what is called a mistaken reversal.

If mail is correctly addressed then it arrives within 2 days, per above. This does NOT mean that if a letter arrives within two days it is correctly addressed! That is a key point. The stimulus says the only way mail CAN TAKE LONGER is for it to be damaged or incorrectly addressed. This does not mean that incorrectly addressed mail MUST take longer than two days. For all we know 100 letters are delivered, 99 of which are incorrectly addressed. 19 of these letters arrive within 2 days and 81 arrive after 2 days. Only one of these is correctly addressed but the majority take 3+ days.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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23 Oct 2009, 12:20
This is already been discussed on this forum: http://gmatclub.com/forum/mailer-84687.html#p634666
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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13 Nov 2009, 21:46
I chose the wrong answer on this one. But I now see why the answer is D.

CA mail consists of two groups: (1) damaged and (2) not damaged mail. At any rate, nearly all of the CA mail arrives at its destination within 2 days. However, Since most of the mail takes longer, it must be the case that the it is not addressed correctly.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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14 Nov 2009, 03:01
Yup C is not correct.
A=>B, then we can say NOT(B)=>NOT(A) but we cannot say B=>A ( mistaken reversal )
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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07 Jul 2010, 04:09
my ans was С, but it is wrong.

D is correct- reasoning is:

Statements:
- normally correctly adressed letter arrives in 2 days
-correctly addressed mail takes longer than this only when it is damaged in transit.
- Reallity: Overall, however, most mail arrives three business days or more after being sent

Delyas may be due to:
-if correctly adressed, delay is due to damage;

Reality is : most mail arrives three business days or more.
Two variants are:
-most are correcly adresesed few are damaged, thus delay - so in average 3 days.
-most are incorrectly adressed, few/any are damaged - so avearage is 3 days.

A) A large proportion of the mail that is correctly addressed is damaged in transit.
what if mails are incorrectly adressed and damaged? - may be false may be true.

B) No incorrectly addressed mail arrives within two business days of being sent.- we don't know. too strong.

C) Most mail that arrives within two business days of being sent is correctly addressed.
- reversed statement.
D) A large proportion of mail is incorrectly addressed. -supported by stimuli. (yes, even if it is not logical, this is GMAT world!)

E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent. - we don't know since we do not have any figures here or other numerical clues.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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09 Aug 2010, 11:51
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How can A be the answer?
2 cases
1) Less than 2 days - correctly addressed
2) More than 2 days - damaged or incorrectly addressed.
Both cases are almost mutually exclusive - 99%. There can be 1% exception. A is worst choice that directly contradicts the premise.

Choice E - There is no data to verify E.

noboru 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.

For me, both A and D are correct.
Could anybody clarify?
Thanks,

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

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11 Oct 2011, 03:10
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.

Based on the given facts, I think A is the right option here.
There is nothing being said about the mails, which are addressed incorrectly. B and D are out.
C has the same problem, unless we dont know what happens to the incorrectly addressed mail, we can not be sure of this statement.
E clearly is false, as if this was true Overall most of the mail would have taken 2 to 3 days.

A is the only choice left and looks like a valid conclusion.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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11 Oct 2011, 05:59
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.

We know correctly addressed mails arrive within 2 days.
We know that overall arrival time of all mails is equal to or greater than 3 days.

Means what; the weight of the mails that arrived beyond 3 days IS greater than the weight of the mails that arrived within 2 days. And, what kind of mails arrive beyond 3 days. Incorrectly Addressed OR Correctly addressed but damaged in transit. Now, we need to make subtle assumption here. Correctly addressed but damaged in transit WILL not be that many because "NEARLY ALL mail that is correctly addressed arrives at its destination within two business days", i.e. there are very few- perhaps negligible- that are damaged. Also, this number will ALSO be neutralized by the number of mails that are incorrectly written but arrive within 2 days.

Seeing all this "D" seems to be the best.

A) A large proportion of the mail that is correctly addressed is damaged in transit.
This directly refutes the premise. "NEARLY ALL mail that is correctly addressed arrives at its destination within two business days"

B) No incorrectly addressed mail arrives within two business days of being sent.
Nothing of this sort is mentioned. There can be few mails that were incorrectly written but were delivered on time. We just know that if a mail arrived beyond 2 days, it was either incorrectly addressed OR damaged.

C) Most mail that arrives within two business days of being sent is correctly addressed.
Now, this seems plausible but may not be true.

It can happen like this:
100- Correctly written: Arrived within 2 days.
1000- Incorrectly Written: Arrived within 2 days.

But,
(1100+x): x is some number, Incorrectly addressed mail will have to arrive beyond 3 days.

E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.
We can't be sure of this one too.

100- Correctly written - arrived within 2 days
5-Incorrectly written OR Damaged- arrived between 2 and 3 days
>105 incorrectly written arrived beyond 3 days.

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

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19 Feb 2013, 13:09
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noboru 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.

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

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21 Feb 2013, 11:50
Sorry guys, I'm having a hard time with the OA - the only way for D to satisfy a 'must be true' answer is to assume that
-damaged in transit mail does never arrive- (let's say, complete mail package destruction - the possibility of mail arriving with some dent and also considered as damaged is ruled out)
Then you have only two possible combinations:

if correctly addressed, then arrives within 2 days
if not correctly addressed, then does not arrive within 2 days
Since most mail arrives at 3 or more days since delivered, then it must be that most mail is incorrectly addressed.

The whole logic rests on the assumption that damaged mail does never arrive...but this is an assumption, and if you need an extra assumption then can't be a 'must be true' answer.

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

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20 Sep 2013, 14:25
Like most of us, I went for A, but after going over all the explanations on various forums, here is my understanding of why A is incorrect with an assumption.

Premise 1: Nearly all mail that is correctly addressed arrives at its destination within two business days of being sent. [Fact]
Premise 2: In fact, correctly addressed mail takes longer than this only when it is damaged in transit. [Condition explaining why the "Nearly all" correctly addressed mails arrive on time and not "All"]

Conclusion: Overall, however, most mail arrives three business days or more after being sent.

MCA' - Mails not correctly addressed
M - Mails
M = MCA + MCA' [MCA and MCA' are mutually exclusive]

[Assumption: All mails delivered with in 2 business days is correctly addressed]

As per Premise 1, MCA takes 2 BD, therefore negating MCA' takes NOT 2BD (possibly > 2BD)

As per conclusion, M take > 2 BD i.e. (MCA + MCA') takes > 2BD.

If the argument is true, then M has to be comprised of largely MCA'. This what D says - A large proportion of mail is incorrectly addressed.

But, if we completely ignore MCA' and focus on the fractions of MCA(i.e. what proportion of MCA is damaged in transit), we are mistaken. This is what A says - A large proportion of the mail that is correctly addressed is damaged in transit.
Irrespective of whether a large proportion of MCA is damaged, if the overall proportion of MCA' is more then more mails take more that 2 business days.

Premise 2, along with the language of the question, shifts our focus to damaged and not damaged discussion, whereas the questions is in the context of correctly and incorrectly addressed mails.

Please let me know, in case you find an discrepancy with the explanation.
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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31 Dec 2013, 16:10
noboru 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.

For me, both A and D are correct.
Could anybody clarify?
Thanks,

Dam! Get traped with this one!

Of course, if the mail correctly adress represents only 1% of the total then... A large proportion of mail is incorrectly addressed.

Really good question! Should have been more carefull!
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Re: Nearly all mail that is correctly addressed arrives at its destination [#permalink]

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01 Jan 2014, 09:09
CONCLUSION- 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.NO! THE CONCLUSION COULD BE DUE TO MORE INCORRECT ADDRESSED LETTERS ALSO..
(B) No incorrectly addressed mail arrives within two business days of being sent.NOWHERE SUCH A THING TOLD
(C) Most mail that arrives within two business days of being sent is correctly addressed.NOWHERE SUCH A THING TOLD
(D) A large proportion of mail is incorrectly addressed. THIS HAS TO BE TRUE BECAUSE OF LAW OF AVERAGES AND WEIGHTAGES.
(E) More mail arrives within two business days of being sent than arrives between two and three business days after being sent.NOWHERE SUCH A THING TOLD

Re: Nearly all mail that is correctly addressed arrives at its destination   [#permalink] 01 Jan 2014, 09:09

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