It is currently 18 Jan 2018, 21:57

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of the following CANNOT yield an integer when divided

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Status: Pushing Hard
Affiliations: GNGO2, SSCRB
Joined: 30 Sep 2012
Posts: 87

Kudos [?]: 96 [2], given: 11

Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.33
WE: Analyst (Health Care)
Reviews Badge
Which of the following CANNOT yield an integer when divided [#permalink]

Show Tags

New post 20 May 2013, 19:21
2
This post received
KUDOS
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (00:51) correct 28% (00:53) wrong based on 239 sessions

HideShow timer Statistics

Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

Good Questions also deserve KUDOS+++++++.
[Reveal] Spoiler: OA

_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

Kudos [?]: 96 [2], given: 11

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Re: Which of the following CANNOT yield an integer when divided [#permalink]

Show Tags

New post 20 May 2013, 23:28
manishuol wrote:
Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

Good Questions also deserve KUDOS+++++++.


An integer to be divisible by 7, must have 7 in its prime factorization. Thus an integer with only even prime factors (2^n) CANNOT be divisible by 7.

Answer: B.

As for the other options:
(A) The sum of three consecutive integers --> if the three integers are {-1, 0, 1}, then their sum is 0 and 0 IS divisible by 7.
(C) The product of two odd integers --> 1*7=7 --> 7 is divisible by 7.
(D) An integer divisible by 8 --> 0 is divisible by both 7 and 8.
(E) An even integer --> 0=even is divisible by 7.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139451 [0], given: 12790

Expert Post
1 KUDOS received
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4645

Kudos [?]: 9278 [1], given: 117

Re: Which of the following CANNOT yield an integer when divided [#permalink]

Show Tags

New post 21 May 2013, 09:24
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
manishuol wrote:
Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

What I find a little misleading about this question, and therefore un-GMAT-like, is the use of plural in the term "even prime factors", because of course there's only one possible prime even number, 2. Yes, I realize it would be too much of a giveaway not to use the plural in this particular question, but I think there's something wrong if we have to resort to language that's mathematically incorrect in order to make the question effective.
That's my 2¢.
Mike :-)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Kudos [?]: 9278 [1], given: 117

Intern
Intern
avatar
B
Joined: 28 Aug 2016
Posts: 16

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

Re: Which of the following CANNOT yield an integer when divided [#permalink]

Show Tags

New post 11 Dec 2017, 17:32
Bunuel

How is B valid when 7(which is a prime no. itself) is raised to an even power of 2, therefore 7^2=49 which is still divisible by 7 and would therefore result in an integer when divided by 7?

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139451 [0], given: 12790

Re: Which of the following CANNOT yield an integer when divided [#permalink]

Show Tags

New post 11 Dec 2017, 19:33
BigUD94 wrote:
Bunuel

How is B valid when 7(which is a prime no. itself) is raised to an even power of 2, therefore 7^2=49 which is still divisible by 7 and would therefore result in an integer when divided by 7?


(B) says: An integer with only even prime factors. This mean an integer which has only 2 (even prime) as its prime factor. Please re-read the post above.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 139451 [0], given: 12790

Re: Which of the following CANNOT yield an integer when divided   [#permalink] 11 Dec 2017, 19:33
Display posts from previous: Sort by

Which of the following CANNOT yield an integer when divided

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.