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

 It is currently 05 Jul 2015, 21:23

### 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 that

Author Message
TAGS:
Director
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 77 [0], given: 0

What is the number of integers from 1 to 1000 inclusive that [#permalink]  17 Jul 2007, 14:34
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
What is the number of integers from 1 to 1000 inclusive that are not divisible by 11 nor by 35?

a) 884
b) 890
c) 892
d) 910
e) 945

Senior Manager
Joined: 03 Jun 2007
Posts: 384
Followers: 2

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

GK_Gmat wrote:
dahcrap wrote:
I got A

How?

Lets see.

Number of numbers between 1 and 1000 divisible by 11 is 90. Similarly there are 28 numbers divisible by 35. Now remember to consider numbers that are divisible by both 11 and 35.There are 2 such numbers. So total is 1000 - 90 - 28 + 2 = 884
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

how do you figure out in a very timely fashion the numbers that are both divisible by 11 and 35??
Intern
Joined: 14 Jul 2007
Posts: 1
Followers: 0

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

The best and easiest way to figure out the numbers divisible by 11 and 35 is to split it into its prime factors

Prime Factors of 11 = 11
Prime Factors of 35 = 7 and 5

Since there is no overlap, the Least Common Multiple is 11 *35 = 385

Now there are 2 such multiples of 385 below 1000 (i.e 385 and 770)

The rest of the reasoning is the same as that provided earlier
Director
Joined: 08 Jun 2007
Posts: 584
Followers: 2

Kudos [?]: 80 [0], given: 0

Can some still provide a better way . I am still confused.
Similar topics Replies Last post
Similar
Topics:
6 What is the number of integers from 1 to 1000 (inclusive) 5 16 Jan 2012, 08:56
6 If p is the product of the integers from 1 to 30, inclusive, what is t 10 09 Aug 2009, 11:10
In a set of numbers from 100 to 1000 inclusive, how many 7 14 Nov 2007, 17:51
If n is the product of integers from 1 to 20 inclusive, what 6 26 Oct 2007, 10:43
What is the sum of the integers from 100 to 140, inclusive? 8 17 Oct 2005, 07:39
Display posts from previous: Sort by