Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 29 Jun 2016, 06:02

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the number of integers from 1 to 1000 (inclusive)

Author Message
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 9

Kudos [?]: 649 [0], given: 4

What is the number of integers from 1 to 1000 (inclusive) [#permalink]

### Show Tags

16 Nov 2007, 02:58
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the number of integers from 1 to 1000 (inclusive) that are not divisible by 11 nor by 35?

A. 884
B. 999
C. 123
D. 124
E. 231
Manager
Joined: 25 Jul 2007
Posts: 108
Followers: 1

Kudos [?]: 17 [1] , given: 0

### Show Tags

16 Nov 2007, 03:05
1
KUDOS

Total multiples of 35 between 1 & 1000 = 28 (35*28=980)
Total multiples of 11 between 1 & 1000 = 90 (90*11=990)
Total multiples of 11 and 35 between 1 & 1000 = 2 (35*11 = 385 & 770)

Therefore 28+90-2=116

1000-116 = 884.
Manager
Joined: 20 Sep 2006
Posts: 58
Followers: 1

Kudos [?]: 10 [0], given: 0

### Show Tags

16 Nov 2007, 03:31
Agree. Ans is A).
Took me 3 mins to solve though
SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 122 [0], given: 2

### Show Tags

16 Nov 2007, 19:26
is there a shorter way to figure out the #s of multiples, especially for 35 ?
Director
Joined: 09 Aug 2006
Posts: 525
Followers: 2

Kudos [?]: 63 [0], given: 0

### Show Tags

16 Nov 2007, 21:27
bmwhype2 wrote:
What is the number of integers from 1 to 1000 (inclusive) that are not divisible by 11 nor by 35?

A. 884
B. 999
C. 123
D. 124
E. 231

Yes A. Could solve in 1 min..

I went this way.. There are 9 multiples of 11 from 1 - 100 so from 1 -1000 they would be ~90.
There are 2 multiples of 35 in 1-100 hence from 1-1000, they will be ~20.. So total will be ~110.. Only A comes close .. I would have been screwed choices were closer ..
Manager
Joined: 25 Jul 2007
Posts: 108
Followers: 1

Kudos [?]: 17 [0], given: 0

### Show Tags

16 Nov 2007, 21:42
pmenon wrote:
is there a shorter way to figure out the #s of multiples, especially for 35 ?

This is how i did it.

Find any easy-to-calculate multiple of 35 close to 1000.
e.g: 35 * 30 = 1050.

Work from there to get 980 = 35*28.

Hope this helps.
Director
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 147 [0], given: 0

### Show Tags

16 Nov 2007, 23:44
bmwhype2 wrote:
What is the number of integers from 1 to 1000 (inclusive) that are not divisible by 11 nor by 35?

A. 884
B. 999
C. 123
D. 124
E. 231

Total ints. = 1000

# of ints. divisible by 11 = 1000/11 = 90
# of ints. divisible by 35 = 1000/35 = 28
# of ints. divisible by both 11 & 35 = 1000/(LCM of 11, 35) = 1000/385 = 2

# of ints. not divisible by either = 1000 - (90+28) + 2 = 884
Manager
Joined: 03 Sep 2006
Posts: 233
Followers: 1

Kudos [?]: 14 [0], given: 0

### Show Tags

18 Nov 2007, 19:44
Late, but A
The same method as jbs
Display posts from previous: Sort by