It is currently 14 Dec 2018, 01:35
My Tests

Close

GMAT Club Daily Prep

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.

A is a member of a set of numbers {2, 3, 24, 50 and 178}.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5166
Followers: 77

Kudos [?]: 1033 [0], given: 4655

CAT Tests
A is a member of a set of numbers {2, 3, 24, 50 and 178}. [#permalink] New post 05 May 2018, 07:22
Expert's post
00:00

Question Stats:

27% (01:15) correct 72% (01:30) wrong based on 11 sessions
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If \(N= 6^A\) , what is the probability that 876,463 is not a multiple of \(N\) ?

A. 0%

B. 6%

C. 40%

D. 78%

E. 100%
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Intern
Intern
Joined: 10 Apr 2018
Posts: 17
Followers: 0

Kudos [?]: 10 [1] , given: 28

Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. [#permalink] New post 05 May 2018, 07:39
1
This post received
KUDOS
this is how I solved it:

876,463 is only divisible by 7; it can't be divided by 6.
since N is a multiple of 6, so 876,463 has to be divisible by 6. BUT we already know that it can't be. So there's no way 876,463 can be a multiple of N.
so the answer would be 100% (876,463 must not a multiple of N)

unfortunately I miss the word "not" in the question prompt :( so I clicked the wrong option (I clicked the choice 0% instead) :(
1 KUDOS received
Manager
Manager
Joined: 27 Feb 2017
Posts: 180
Followers: 0

Kudos [?]: 45 [1] , given: 15

CAT Tests
Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. [#permalink] New post 05 May 2018, 10:55
1
This post received
KUDOS
Okay, I will admit that this question looks too hard to be simple. Which means, I did think that 876,463 should be divisble by 6 for it to be a multiple of N. But the I thought they wouldne give all this information for just one step and I was stumped. Took me 4 mins to find a way and I still got the wrong answer
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5166
Followers: 77

Kudos [?]: 1033 [0], given: 4655

CAT Tests
Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}. [#permalink] New post 05 May 2018, 15:23
Expert's post
Remember always this : GRE is a test NOT of calculation but rather to think critically and to find the best and easy way to solve a question.

Now, we said that \(N= 6^A\), which is basically \((2*3)^A\).

In this scenario, our number 876,463 is odd because it ends with 3 and never can be a multiple of \(6^A\) that contains also the 2.

what is the probability that 876,463 is not a multiple of \(N\)?

Our answer is 100% because we are sure that that number will be never a multiple of \(6^A\).

PS: notice that the first answer is impossible. A probability can never be 0%. It is always between 0 and at most 1.

Hope this helps
_________________

Get the 2 FREE GREPrepclub Tests

Re: A is a member of a set of numbers {2, 3, 24, 50 and 178}.   [#permalink] 05 May 2018, 15:23
Display posts from previous: Sort by

A is a member of a set of numbers {2, 3, 24, 50 and 178}.

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.