It is currently 18 Nov 2017, 09:20

### 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

# PS-How many Positive integers?

Author Message
Director
Joined: 04 Jan 2008
Posts: 893

Kudos [?]: 766 [0], given: 17

### Show Tags

28 Mar 2009, 23:09
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:42) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?

A. 5
B. 6
C. 8
D. 10
E. 50

_________________

http://gmatclub.com/forum/math-polygons-87336.html
http://gmatclub.com/forum/competition-for-the-best-gmat-error-log-template-86232.html

Kudos [?]: 766 [0], given: 17

Director
Joined: 04 Jan 2008
Posts: 893

Kudos [?]: 766 [0], given: 17

Re: PS-How many Positive integers? [#permalink]

### Show Tags

29 Mar 2009, 03:13
How to approach?
I have the OE but i need some quick soln
_________________

http://gmatclub.com/forum/math-polygons-87336.html
http://gmatclub.com/forum/competition-for-the-best-gmat-error-log-template-86232.html

Kudos [?]: 766 [0], given: 17

Manager
Joined: 19 May 2008
Posts: 162

Kudos [?]: 13 [0], given: 0

Location: Mumbai
Re: PS-How many Positive integers? [#permalink]

### Show Tags

29 Mar 2009, 03:19
I think this should be simple - 2, 4, 8, 16, 32 and 64.

Kudos [?]: 13 [0], given: 0

Senior Manager
Joined: 28 Aug 2006
Posts: 303

Kudos [?]: 174 [0], given: 0

Re: PS-How many Positive integers? [#permalink]

### Show Tags

29 Mar 2009, 06:17
nitya34 wrote:
How many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?

A. 5
B. 6
C. 8
D. 10
E. 50

The question clearly says that we need to find numbers which do not have odd factors.

So the number must be of the form $$2^n$$

Hence the numbers in the given range are $$2, 2^2, 2^3, 2^4, 2^5 \quad and \quad 2^6$$

So totally 6 numbers exits.
_________________

Kudos [?]: 174 [0], given: 0

Director
Joined: 04 Jan 2008
Posts: 893

Kudos [?]: 766 [0], given: 17

Re: PS-How many Positive integers? [#permalink]

### Show Tags

29 Mar 2009, 09:12
Thanks
It looks simple now
OA-B
_________________

http://gmatclub.com/forum/math-polygons-87336.html
http://gmatclub.com/forum/competition-for-the-best-gmat-error-log-template-86232.html

Kudos [?]: 766 [0], given: 17

Manager
Joined: 19 Aug 2006
Posts: 238

Kudos [?]: 13 [0], given: 0

Re: PS-How many Positive integers? [#permalink]

### Show Tags

29 Mar 2009, 11:20
We have a range of 2...100.

Only some of the even integers will not be divisible by odd numbers in this range.
Let's try to list a few even numbers in the range: 2,4,6,8,10,12,14,16,18,20....
Out of these 2,4,8,16 are not divisible by odd factors - it can be deduced that the numbers we seek are multiples of 2: 2,4,8,16,32,64.

Kudos [?]: 13 [0], given: 0

Re: PS-How many Positive integers?   [#permalink] 29 Mar 2009, 11:20
Display posts from previous: Sort by