|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
09 Oct 2019, 15:55
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
50% (01:00) correct
50%
(03:26)
wrong
based on 6
sessions
History
Date
Time
Result
Not Attempted Yet
If a subset of integers is chosen from between 1 to 3000, such that no two integers add up to a multiple of nine, then what can be the maximum number of elements in the subset? Include both 1 and 3000.
(A) 1332
(B) 1333
(C) 1336
(D) 1668
(A) 1332
(B) 1333
(C) 1336
(D) 1668
09 Oct 2019, 18:42
Kudos
Bookmarks
Take all integers of form 9k+1,9k+2, 9k+3, 9k+4
9k+1 --> 1,10,19 ... 2998 --> 334
9k+2 --> 2,11... 2999 --> 334
9k+3 --> 3,12 ... 3000 --> 334
9k+4 --> 4,13 ... 2992 --> 333
And include one multiple of 9 --> 1
Total = 334+334+334+333+1 = 1336
Posted from my mobile device
9k+1 --> 1,10,19 ... 2998 --> 334
9k+2 --> 2,11... 2999 --> 334
9k+3 --> 3,12 ... 3000 --> 334
9k+4 --> 4,13 ... 2992 --> 333
And include one multiple of 9 --> 1
Total = 334+334+334+333+1 = 1336
Posted from my mobile device
