|
|
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.
06 Nov 2016, 05:14
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
45% (03:00) correct
55%
(03:12)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
How many ODD integers n, where 100 <= n <= 200, are divisible neither by seven nor by nine?
(A) 37
(B) 38
(C) 39
(D) 40
(E) 46
(A) 37
(B) 38
(C) 39
(D) 40
(E) 46
06 Nov 2016, 05:18
Kudos
Bookmarks
GMATinsight
Total Integers from 100 to 200 inclusive = 101 (51 even and 50 odd)
Total Odd Integers from 100 to 200 = 50
Total No. that are multiple of 7 from 1-200 = 200/7 = 28 (i.e. 14 even and 14 odd)
Total No. that are multiple of 7 from 1-100 = 100/7 = 14 (i.e. 7 even and 7 odd)
Total No. that are ODD multiple of 7 from 100-200 = 14-7 = 7
Total No. that are multiple of 9 from 1-200 = 200/9 = 22 (i.e. 11 even and 11 odd)
Total No. that are multiple of 9 from 1-100 = 100/9 = 11 (i.e. 5 even and 6 odd)
Total No. that are ODD multiple of 9 from 100-200 = 11-6 = 5
Total No. that are odd multiple of 7 and 9 will be multiple of 63 and count of such numbers from 100-200 = 1
So Total No. that are odd multiple of 7 and/or 9 from 100-200 = 7+5-1 = 11
So Total No. that are NOT odd multiple of 7 and/or 9 from 100-200 = 50-11 = 39
Answer: Option C
06 Nov 2016, 05:38
Kudos
Bookmarks
Very clear. Thanks so much
Sent from my KFGIWI using Tapatalk
Sent from my KFGIWI using Tapatalk
