Last visit was: 14 Jul 2026, 12:44 It is currently 14 Jul 2026, 12:44
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Jul 2026
Posts: 111,929
Own Kudos:
827,441
 [17]
Given Kudos: 109,329
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 111,929
Kudos: 827,441
 [17]
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A 26 Jun 2018, 05:09
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

72% (01:32) correct 28% (01:46) wrong based on 556 sessions

History

Date
Time
Result
Not Attempted Yet
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%
ShowHide Answer
Official Answer
E
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,651
Own Kudos:
21,205
 [3]
Given Kudos: 165
Expert
Expert reply
Posts: 3,651
Kudos: 21,205
 [3]
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A 26 Jun 2018, 05:19
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post

Solution



Given:
    • A is a member of a set of numbers {2, 3, 24, 50 and 178}
    • \(N = 6^A\)

To find:
    • The probability that 876,463 is not a multiple of N

Approach and Working:
The number 876463 is neither a multiple of 2 nor a multiple of 3 (\(N = 6^A = 2^A * 3^A\))
    • Hence, the number 876463 can never be a multiple of N
    • Therefore, the probability is 100%

Hence, the correct answer is option E.

Answer: E
avatar
harmanbindra
avatar
Joined: 14 Nov 2016
Last visit: 01 Mar 2024
Posts: 2
Given Kudos: 8
Posts: 2
Kudos: 0
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A 27 Jun 2018, 23:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mistook it as 2 separate numbers 876 and 473,
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 14 Jul 2026
Posts: 11,261
Own Kudos:
45,660
 [4]
Given Kudos: 338
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,261
Kudos: 45,660
 [4]
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A 27 Jun 2018, 23:41
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Bunuel
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%
Show more

an be checked
N consists of only 2 and 3...
876463 is an odd number and div by 3 cant be checked by adding the digits.
so 8+7+6+4+6+3=34, NOT div by 3, so 876463 will also be not div by 3
so probability is 100%

E
User avatar
vasu1104
User avatar
Joined: 10 Feb 2023
Last visit: 14 Jul 2026
Posts: 707
Own Kudos:
387
Given Kudos: 671
Location: Canada
Posts: 707
Kudos: 387
A is a member of a set of numbers {2, 3, 24, 50 and 178}. If N= 6^A 03 Jul 2026, 22:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
the given num 876463 is not divisible by 2 or 3. also it cant be divisible by 50 or 178.

now 6 is made up 2 and 3. so if you raise 6 to any of the numb given in the set, it will still be made of 2 and 3. hence not divisible by 6 either.

so 100%
Bunuel
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%
Show more
Moderator:
Bunuel
Math Expert
111929 posts