Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

1. Statement 1 tells us that a refined number must be a multiple of 22. This is a necessary, but not sufficient condition for a refined number. While every refined number is a multiple of 22, every multiple of 22 is not necessarily a refined number. Since we have no other info about the definition of a refined number, we cannot determine how many integers from 1-1000 fit that definition. Insuff.

2. Statement 2 provides us with a definition of a refined number- an even multiple of 11. We can find the number of even multiples of 11 in the set, so this is sufficient.

1. Statement 1 tells us that a refined number must be a multiple of 22. This is a necessary, but not sufficient condition for a refined number. While every refined number is a multiple of 22, every multiple of 22 is not necessarily a refined number. Since we have no other info about the definition of a refined number, we cannot determine how many integers from 1-1000 fit that definition. Insuff.

2. Statement 2 provides us with a definition of a refined number- an even multiple of 11. We can find the number of even multiples of 11 in the set, so this is sufficient.

OA is (B)

Isn't (2) just a repetition of (1)?
(2) says the refined number must be an even multiple of 11. So a refined number can be 22, 44, 66, 88, 110,... etc... All these are multiples off 22, which is given in (1).

1. Statement 1 tells us that a refined number must be a multiple of 22. This is a necessary, but not sufficient condition for a refined number. While every refined number is a multiple of 22, every multiple of 22 is not necessarily a refined number. Since we have no other info about the definition of a refined number, we cannot determine how many integers from 1-1000 fit that definition. Insuff.

2. Statement 2 provides us with a definition of a refined number- an even multiple of 11. We can find the number of even multiples of 11 in the set, so this is sufficient.

OA is (B)

GMATT73 I see the point.
..this question has a very good trap.

what is the point?
I dont get it...(1) and (2) are saying the same thing...I would say such a twisted question will never appear on the GMAT!

believe2 wrote:

GMATT73 wrote:

1. Statement 1 tells us that a refined number must be a multiple of 22. This is a necessary, but not sufficient condition for a refined number. While every refined number is a multiple of 22, every multiple of 22 is not necessarily a refined number. Since we have no other info about the definition of a refined number, we cannot determine how many integers from 1-1000 fit that definition. Insuff.

2. Statement 2 provides us with a definition of a refined number- an even multiple of 11. We can find the number of even multiples of 11 in the set, so this is sufficient.

OA is (B)

GMATT73 I see the point. ..this question has a very good trap.

what is the point? I dont get it...(1) and (2) are saying the same thing...I would say such a twisted question will never appear on the GMAT!

believe2 wrote:

GMATT73 wrote:

1. Statement 1 tells us that a refined number must be a multiple of 22. This is a necessary, but not sufficient condition for a refined number. While every refined number is a multiple of 22, every multiple of 22 is not necessarily a refined number. Since we have no other info about the definition of a refined number, we cannot determine how many integers from 1-1000 fit that definition. Insuff.

2. Statement 2 provides us with a definition of a refined number- an even multiple of 11. We can find the number of even multiples of 11 in the set, so this is sufficient.

OA is (B)

GMATT73 I see the point. ..this question has a very good trap.

the diff b/w 1) and 2) is that in 1) 22 and 44 may be refined numbers. we can calc the prob. 22 44 66 may be refinded numbers as well. the prob to the former example is different but both satisfy 1). in 2) its certain that every mutiple off 22 is a refined number. there is only one value for the prob.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

what is the point? I dont get it...(1) and (2) are saying the same thing...I would say such a twisted question will never appear on the GMAT!

Yes I've seen this question type in the GMAT test. The trap is (1) doesn't define "refined number" and (2) does.
For example, you can say "an even number must be an integer", this doesn't define an even number, because not every integer is an even number. Similarly with (1), every refined number must be divided by 22. But perhaps they also must be divided by 4, or something else.
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

Re: If a number is drawn at random from the first 1000 positive [#permalink]

Show Tags

25 Dec 2012, 07:30

Sorry for starting this old thread, but can anyone please elaborate on this ancient problem? I am still not able to distinguish 1 and 2, apart from considering that one is definition and the other is not. Need examples for clarification.
_________________

Re: If a number is drawn at random from the first 1000 positive [#permalink]

Show Tags

25 Dec 2012, 08:12

Marcab wrote:

Sorry for starting this old thread, but can anyone please elaborate on this ancient problem? I am still not able to distinguish 1 and 2, apart from considering that one is definition and the other is not. Need examples for clarification.

I would say it's more about the wording than the math.

Let's make it simple.

1. Any refined number must be divisible by 22

If refined numbers were 44n then (1) would give us wrong numbers. 44, 88, 132 = refined. But (1) doesn't tell us that 22, 44, 110 is not refined.

2. A refined number is any even multiple of 11.

Here we're told the actual definition of refined numbers. They're the even multiples of 11.

Re: If a number is drawn at random from the first 1000 positive [#permalink]

Show Tags

12 Mar 2014, 23:25

Hello Guys, This is my first post, I hope you find it helpful.

Now in the question they have asked a no. Is drawn from first 1000 positive integers, and its probability. Def. Of refined no, is given in respective statements. Its all about wordings.

Now, S1.) Any refined no must be divisible by 22, this include 22, 44, 242, 110, 198,.... and the list goes on, there are definite nos. and nos can be found, but the statement says ANY, which is absurd. INSUFFICIENT.

S2.) A refined no is any even multiple of 11. This includes 22, 44, 66, 88, 286,484, 968..... and on, here also no can be found but A REFINED NO. IS MENTIONED. This makes it clear a definite no particularly even multiple of 11. SUFFICIENT. BASICALLY ITS ALL ON WORDING, YOU DONT NEED TO SOLVE.

If a number is drawn at random from the first 1000 positive [#permalink]

Show Tags

12 Jul 2016, 22:53

2

This post received KUDOS

1

This post was BOOKMARKED

If a number is drawn at random from the first 1000 positive integers, what is the probability of selecting a refined number?

(1) Any refined number must be divisible by 22 (2) A refined number is any even multiple of 11

Well...........I thought to represent my solution in a humorous way.

The villain here in this problem(Or clever wordplay formally) is the word Any

Statement 1: Any refined number must be divisible by 22

I imagine a scenario where a top dreaded villain came to know that he can be attacked by some one.

He asks who is he?(kaun hai woh?)

Clue he gets is He is a human being.(Woh ek insaan hai )

Does that give him any proper info other than that it is not a creature or animal. Where will he search for that person? Can each and every person be that special one? No right. A bit similar scenario of Kans.......Isnt it.

So Any refined number must be divisible by 22 indicates that Refined number may include 22 and may not include 44 and still be correct.

Hence we have no idea what multiples of 22 it does include and what it doesn't and is not sufficient.

Statement 2: A refined number is any even multiple of 11............22

Here the refined number includes every multiple of 22 under 1000.

We don't have to list all of them but we know that they are finite.

The only time you can lose is when you give up. Try hard and you will suceed. Thanks = Kudos. Kudos are appreciated

http://gmatclub.com/forum/rules-for-posting-in-verbal-gmat-forum-134642.html When you post a question Pls. Provide its source & TAG your questions Avoid posting from unreliable sources.

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...