Events & Promotions
|
|
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.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Apr 3001:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
11 Jun 2020, 03:48
Kudos
Bookmarks
B
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:
66% (02:32) correct
34%
(02:40)
wrong
based on 223
sessions
History
Date
Time
Result
Not Attempted Yet
How many numbers between 101 and 1001 are divisible by 6 but not by 15?
A. 90
B. 120
C. 140
D. 150
E. 180
A. 90
B. 120
C. 140
D. 150
E. 180
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,088
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
11 Jun 2020, 04:05
Kudos
Bookmarks
No. Between 101 to 1001 divisible by 6 = 102,108,114,120........up to 996
An = A+(n-1)d
996 = 102 + (n-1)*6
894 = (n-1)*6
894/6 = (n-1)
149 = n-1
150 = n ------------(1)
So, there are 150 no. Divisible by 6 between 101&1001
=> The no. Which are not divisible by 15 but 6 = total no. Divisible by 6 - The no. Which are divisible by both 15&6
=> The numbers between 101 and 1001 are divisible by 15 & 6 = LCM Of 15&6 = 30
Multiple of 30 between 101&1001 = 120,150,180,..........990
An=A+(n-1)*d
990 = 120+(n-1)*30
870 = (n-1)*30
870/30 = n-1
29 = n-1
30 = n .......(2)
So, there are 30 no. Divisible by 6&15 between 101&1001
The no. Which are divisible by 6 but not 15 = total no. Divisible by 6 - The no. Which are divisible by both 15&6.
=> 150-30
=> 120
IMO B
Posted from my mobile device
An = A+(n-1)d
996 = 102 + (n-1)*6
894 = (n-1)*6
894/6 = (n-1)
149 = n-1
150 = n ------------(1)
So, there are 150 no. Divisible by 6 between 101&1001
=> The no. Which are not divisible by 15 but 6 = total no. Divisible by 6 - The no. Which are divisible by both 15&6
=> The numbers between 101 and 1001 are divisible by 15 & 6 = LCM Of 15&6 = 30
Multiple of 30 between 101&1001 = 120,150,180,..........990
An=A+(n-1)*d
990 = 120+(n-1)*30
870 = (n-1)*30
870/30 = n-1
29 = n-1
30 = n .......(2)
So, there are 30 no. Divisible by 6&15 between 101&1001
The no. Which are divisible by 6 but not 15 = total no. Divisible by 6 - The no. Which are divisible by both 15&6.
=> 150-30
=> 120
IMO B
Posted from my mobile device
General Discussion
11 Jun 2020, 04:10
Kudos
Bookmarks
LCM of 6,15 = 30
Number of digits divisible by 6 between 101 & 1001 is (166-16) = 150
Number of digits divisible by 30 between 101 & 1001 is (166-16) = 30
Final answer 150 - 30 =120
Posted from my mobile device
Number of digits divisible by 6 between 101 & 1001 is (166-16) = 150
Number of digits divisible by 30 between 101 & 1001 is (166-16) = 30
Final answer 150 - 30 =120
Posted from my mobile device
