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Researchers from a data analysis firm have found that the

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Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 08:48
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Question Stats:

33% (03:05) correct 67% (02:01) wrong based on 374 sessions
Researchers from a data analysis firm have found that the three most popular combinations --
1234, 1111, and 0000 -- account for close to 20 per cent of all four-digit passwords. The researchers
also found that every four-digit combination that starts with 19 ranks above the 80th percentile in
popularity, with those in the upper 1900s coming in the highest. Also quite common are
combinations in which the first two digits are between 01 and 12 and the last two are between 01
and 31.

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

(A) The password 1922 will most likely be less popular than 1981
(B) The password 0123 will most probably be more common than 2331
(C) If a password was to be selected from a random list of 100 four digit passwords, there is a very high possibility that it will be 1234, 1111, or 0000
(D) One out of three four digit passwords will be 1234, 1111, or 0000
(E) Passwords starting with 19 are more popular than those starting with 21
[Reveal] Spoiler: OA

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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 09:12
B seems best
The password 0123 will most probably be more common than 2331
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 09:26
E seems correct to me, though not sure.
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 09:31
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Let’s first segregate the facts provided in the Statements
1. 1234, 1111, and 0000 -- account for close to 20 per cent of all four-digit passwords.
2. 19_ _ ranks above 80th Percentile in popularity and upper 1900 most popular
3. First two digit between 01 and 12 and last two between 01 and 31 also quite common

Only point 2 says something about comparison between two passwords.Also we should keep in mind that we shouldn’t assume anything when dealing with possibilities and percentages.
(A) The password 1922 will most likely be less popular than 1981
This is clear from point 2 that those in upper 1900 are more popular than those in lower 1900.hence A is correct answer
(B) The password 0123 will most probably be more common than 2331
Only point 2 says about comparison between two and that relates only to number starting with 19.
So this can’t be the answer.


(C) If a password was to be selected from a random list of 100 four digit passwords, there is a very high possibility that it will be 1234, 1111, or 0000
Its not very clear that what number will be the high possibility.

(D) One out of three four digit passwords will be 1234, 1111, or 0000
Again this can’t be taken as a fact.

(E) Passwords starting with 19 are more popular than those starting with 21
Nothing is said about passwords starting with 21 so we can’t assume anything here.
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 11:39
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carcass wrote:
Researchers from a data analysis firm have found that the three most popular combinations --
1234, 1111, and 0000 -- account for close to 20 per cent of all four-digit passwords. The researchers
also found that every four-digit combination that starts with 19 ranks above the 80th percentile in
popularity, with those in the upper 1900s coming in the highest. Also quite common are
combinations in which the first two digits are between 01 and 12 and the last two are between 01
and 31.

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

(A) The password 1922 will most likely be less popular than 1981
(B) The password 0123 will most probably be more common than 2331
(C) If a password was to be selected from a random list of 100 four digit passwords, there is a very high possibility that it will be 1234, 1111, or 0000
(D) One out of three four digit passwords will be 1234, 1111, or 0000
(E) Passwords starting with 19 are more popular than those starting with 21

Hi Carcass
I think A must be the answer was stuck between A nad E, but than we know nthn about 21 so I eliminated E....i think the question is sub 600...wat do u say...

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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 12:30
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Archit143 wrote:
carcass wrote:
Researchers from a data analysis firm have found that the three most popular combinations --
1234, 1111, and 0000 -- account for close to 20 per cent of all four-digit passwords. The researchers
also found that every four-digit combination that starts with 19 ranks above the 80th percentile in
popularity, with those in the upper 1900s coming in the highest. Also quite common are
combinations in which the first two digits are between 01 and 12 and the last two are between 01
and 31.

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

(A) The password 1922 will most likely be less popular than 1981
(B) The password 0123 will most probably be more common than 2331
(C) If a password was to be selected from a random list of 100 four digit passwords, there is a very high possibility that it will be 1234, 1111, or 0000
(D) One out of three four digit passwords will be 1234, 1111, or 0000
(E) Passwords starting with 19 are more popular than those starting with 21

Hi Carcass
I think A must be the answer was stuck between A nad E, but than we know nthn about 21 so I eliminated E....i think the question is sub 600...wat do u say...

Archit



No I disagree becasue rarely you are stuck in choices in a sub 600 level question.

But the purpose of this huge game is not to care about the level of the question but to solve it in the best manner and with the most efficient strategy you can ;)

A is the OA
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 13:23
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Can someone be so kind and briefly explain the following sentence to a foreigner:

every four-digit combination that starts with 19 ranks above the 80th percentile in
popularity


Does that mean, that each of the 19xxer is more popular than 80% of all the other passwords?

Thanks in advance.
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 16 Apr 2013, 22:02
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the premise says :
1)The researchers also found that every four-digit combination that starts with 19 ranks above the 80th percentile in popularity,
2 with those in the upper 1900s coming in the highest.
3Also quite common are combinations in which the first two digits are between 01 and 12 and the last two are between 01 and 31.

now if we look at A :The password 1922 will most likely be less popular than 1981
A defies premise 3
also premise 2 does not say that every upper 1900s coming in the highest.


what is the source of this question ?
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 25 Nov 2013, 07:05
B seems ok with me. But can someone explain why B is wrong?
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 13 Jan 2014, 02:38
I didn't even go for other options after looking at A.Though that is not a good thing to do on the gmat,I was pretty sure it was A,after I consulted the portion "that every four-digit combination that starts with 19 ranks above the 80th percentile in popularity, with those in the upper 1900s coming in the highest" once again.
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 13 Jan 2014, 02:49
cssk wrote:
B seems ok with me. But can someone explain why B is wrong?

I think B is wrong because the last sentence says ]the first two digits are between 01 and 12.This probably implies 01 and 12 are not included so we cannot conclude anything about passwords starting from 01 eg. 0123.
The same goes for 2331. Refer last two are between 01 and 31. not including 31.

Another reason could be that the statement is silent about what password combination is more common when it starts with digits between 01 and 12 and ends with digits between 01 and 31.There is no comparison involved.
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Re: Researchers from a data analysis firm have found that the [#permalink] New post 13 Jan 2014, 06:09
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fact 1. 1234, 1111, and 0000 -- account for close to 20 per cent of all four-digit passwords.

fact2. every four-digit combination that starts with 19 ranks above the 80th percentile in
popularity, with those in the upper 1900s coming in the highest.

fact3. Also quite common are combinations in which the first two digits are between 01 and 12 and the last two are between 01
and 31.

total distinct 4 digit passwords that could be formed are - 10000.....but may be all are not in use where as some are repeated.... eg 1234....

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

(A) The password 1922 will most likely be less popular than 1981...correct ......see fact 2..
(B) The password 0123 will most probably be more common than 2331 .....cannot be concluded..we could have said that for 0223 and 2331...... see fact 3
(C) If a password was to be selected from a random list of 100 four digit passwords, there is a very high possibility that it will be 1234, 1111, or 0000...its a 20 % possibility.... can't call it very high ... see fact 1
(D) One out of three four digit passwords will be 1234, 1111, or 0000 ....incorrect... one out of 05 will be.... that is 20%... see fact 1
(E) Passwords starting with 19 are more popular than those starting with 21..............can't say....nowhere inferred see fact 2.....
Re: Researchers from a data analysis firm have found that the   [#permalink] 13 Jan 2014, 06:09
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