Last visit was: 25 Apr 2026, 05:54 It is currently 25 Apr 2026, 05:54
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
avatar
antoxavier
avatar
Joined: 25 Jan 2013
Last visit: 07 Aug 2013
Posts: 24
Own Kudos:
270
 [2]
Given Kudos: 11
Posts: 24
Kudos: 270
 [2]
There are 35 distinct numbers in set M, there are 28 14 Jul 2013, 11:07
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
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:

67% (01:34) correct 33% (01:37) wrong based on 158 sessions

History

Date
Time
Result
Not Attempted Yet
There are 35 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A. 39
B. 40
C. 51
D. 58
E. 63
ShowHide Answer
Official Answer
C
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,826
Own Kudos:
811,172
 [3]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,826
Kudos: 811,172
 [3]
There are 35 distinct numbers in set M, there are 28 14 Jul 2013, 11:14
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
antoxavier
There are 35 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A. 39
B. 40
C. 51
D. 58
E. 63

Official answer not available
Show more

{Total} = {M} + {N} - {Both}
{Total} = 35 + 28 - 12 = 51.

Answer: C.
avatar
leroyconje
avatar
Joined: 21 Jul 2013
Last visit: 12 May 2015
Posts: 1
Given Kudos: 6
Posts: 1
Kudos: 0
There are 35 distinct numbers in set M, there are 28 14 Aug 2013, 09:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
antoxavier
There are 35 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A. 39
B. 40
C. 51
D. 58
E. 63

Official answer not available

{Total} = {M} + {N} - {Both}
{Total} = 35 + 28 - 12 = 51.

Answer: C.
Show more

Are you sure?
at least in one of the sets could mean either M or N or both. therefore 63 should be ok.
Let me know what you think.
Regards,
Marco
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,826
Own Kudos:
811,172
 [1]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,826
Kudos: 811,172
 [1]
There are 35 distinct numbers in set M, there are 28 14 Aug 2013, 11:43
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
leroyconje
Bunuel
antoxavier
There are 35 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A. 39
B. 40
C. 51
D. 58
E. 63

Official answer not available

{Total} = {M} + {N} - {Both}
{Total} = 35 + 28 - 12 = 51.

Answer: C.

Are you sure?
at least in one of the sets could mean either M or N or both. therefore 63 should be ok.
Let me know what you think.
Regards,
Marco
Show more

Yes, I am. {M} and {N} both contain {Both}, when we subtract once we still have one {Both} counted.
avatar
Asifpirlo
avatar
Joined: 10 Jul 2013
Last visit: 26 Jan 2014
Posts: 220
Own Kudos:
1,195
 [1]
Given Kudos: 102
Posts: 220
Kudos: 1,195
 [1]
There are 35 distinct numbers in set M, there are 28 14 Aug 2013, 12:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
antoxavier
There are 35 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?

A. 39
B. 40
C. 51
D. 58
E. 63

Official answer not available
Show more
n(H) = at least one of sets M and N =n(M u N) = n(M) + n(N) - n(M n N)
= 35 + 28 - 12
= 51 (Answer C)
User avatar
TGC
User avatar
Joined: 03 Aug 2012
Last visit: 19 Jul 2017
Posts: 572
Own Kudos:
3,621
 [1]
Given Kudos: 322
Concentration: General Management, General Management
Schools: ISB '16 NUS '17 NTU '17 XLRI SMU '17 IIM Lucknow IPMX'16 (A)
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE:Information Technology (Finance: Investment Banking)
Schools: ISB '16 NUS '17 NTU '17 XLRI SMU '17 IIM Lucknow IPMX'16 (A)
GMAT 2: 680 Q50 V32
Posts: 572
Kudos: 3,621
 [1]
There are 35 distinct numbers in set M, there are 28 17 Aug 2013, 04:28
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Solution attached:

At least means

Only M + Only N + Both

Hence 23+12+16=51
Attachments

solution.JPG
solution.JPG [ 14.87 KiB | Viewed 5269 times ]

avatar
unceldolan
avatar
Joined: 21 Oct 2013
Last visit: 03 Jun 2015
Posts: 151
Own Kudos:
247
Given Kudos: 19
Location: Germany
Schools: Owen '17 (A$) Sauder '17 (A$) Schulich '17 (WD) Anderson FEMBA '17 (S) McDonough '17 (A) Desautels '17 (S)
GMAT 1: 660 Q45 V36
GPA: 3.51
Schools: Owen '17 (A$) Sauder '17 (A$) Schulich '17 (WD) Anderson FEMBA '17 (S) McDonough '17 (A) Desautels '17 (S)
GMAT 1: 660 Q45 V36
Posts: 151
Kudos: 247
There are 35 distinct numbers in set M, there are 28 28 Jul 2014, 03:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since Set H contains the numbers which are AT LEAST once in set M or N, you only need to subtract the 12 numbers once. Hence 35+28-12 = 51

Take the example:
Set M{1,2,3,4,5,6,7,8,9,10,11,12,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122}
Set N{1,2,3,4,5,6,7,8,9,10,11,12,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215}

You'll now have to count the numbers from 1-12 ONCE, and the other numbers. Hence it's 35 (Set M) + 28 (Set N) - 12 (Both)

Hope it helps.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,981
Own Kudos:
1,117
Posts: 38,981
Kudos: 1,117
There are 35 distinct numbers in set M, there are 28 12 Oct 2019, 08:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109826 posts
Krunaal
Tuck School Moderator
852 posts