How many integers n are there such that v<n<w?

Oldest

Best Reply

Author

Message

TAGS:

Manager

Joined: 12 Oct 2011

Posts: 136

GMAT 1: 700 Q48 V37
GMAT 2: 720 Q48 V40

Followers: 2

Kudos [?]: 37 [0], given: 23

How many integers n are there such that v<n<w? [#permalink]

14 Mar 2012, 06:13

00:00

Question Stats:

25% (02:20) correct

75% (00:20) wrong

based on 0 sessions

How many integers n are there such that v<n<w?

(1) v and w are positive integers?
(2) w-v=4

How is it even possible that v<w when v-w=4?

from gmathacks

[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Mar 2012, 05:23, edited 2 times in total.

Edited the question

Kaplan Promo Code

Knewton GMAT Discount Codes

Veritas Prep GMAT Discount Codes

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11611

Followers: 1802

Kudos [?]: 9600 [0], given: 829

Re: How many integers are there such that v<n<w? [#permalink]

14 Mar 2012, 06:33

BN1989 wrote:

How many integers n are there such that v<n<w?

1) v and w are positive integers?
2) v-w=4

How is it even possible that v<w when v-w=4?

from gmathacks

(2) should read: w-v=4.

How many integers n are there such that v<n<w?

Notice that if w and v are integers, for example w=5 and v=1 then there will be 3 integers between them: 2, 3, and 4. But if w and v are NOT integers for example w=5.5 and v=1.5 then there will be 4, so one more, integers between them: 2, 3, 4 and 5.

(1) v and w are positive integers. Not sufficient.
(2) w-v=4. Not sufficient.

(1)+(2) According to above reasoning since v and w are positive integers then there are 3 integers between them (case 1). Sufficient.

Similar question to practice: how-many-integers-n-are-there-such-that-r-n-s-101917.html

Hope it helps.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!

What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Intern

Joined: 15 Feb 2012

Posts: 8

Location: India

Concentration: General Management, Operations

Schools: ISB '14

GPA: 3.09

WE: Operations (Manufacturing)

Followers: 0

Kudos [?]: 6 [0], given: 14

Re: How many integers are there such that v<n<w? [#permalink]

17 Mar 2012, 05:21

BN1989 wrote:

How many integers are there such that v<n<w?

(1) v and w are positive integers?
(2) w-v=4

How is it even possible that v<w when v-w=4?

from gmathacks

The question stem seems to ask how many integral triplets exists which are bound by v<n<w?
Whereas the intent is to ask how many integral values of n exist such that v<n<w ?

Only if we are interested in finding the no. of integral values n can take then we can get the answer
by combining 1&2 (as Bunnel stated)
But if we are interested in finding integers then obeying 1&2 we can take any natural no. as v and accordingly our w will get fixed and then we can choose any 3 no.s between w and v to get n.So infinite no. of triplets can be formed.

@Bunnel: I would be thankful if you clarify

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11611

Followers: 1802

Kudos [?]: 9600 [0], given: 829

Re: How many integers are there such that v<n<w? [#permalink]

17 Mar 2012, 05:25

jach2012 wrote:

BN1989 wrote:

How many integers are there such that v<n<w?

(1) v and w are positive integers?
(2) w-v=4

How is it even possible that v<w when v-w=4?

from gmathacks

The question should read: "How many integers N are there such that v<n<w?" There was a typo in the original post, which is now edited.
_________________

Re: How many integers are there such that v<n<w? [#permalink] 17 Mar 2012, 05:25

		Similar topics	Author	Replies	Last post
Similar Topics:	2	N\|!=\|N\| How many integer solutions are there	stolyar	5	05 Jun 2003, 23:05
		If n is an integer, n is divisible by how many positive	zetaexmachina	1	11 Jun 2008, 23:47
		If N is a positive integer, not including N, how many	rampuria	1	27 Oct 2008, 02:19
		How many integers n are there such that v<n<w ? 1. v	TheSituation	1	04 Jun 2010, 10:16
	1	If n is an integer, then n divisible by how many positive	Baten80	5	19 Feb 2011, 10:29

How many integers n are there such that v<n<w?

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

How many integers n are there such that v<n<w?

How many integers n are there such that v<n<w?

Main navigation

GMAT Resources

Partners

MBA Resources