It is currently 11 Dec 2017, 12:16

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

What is the smallest integer that can be divided by the product of a

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135256 [0], given: 12679

What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 01:26
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

51% (01:01) correct 49% (00:40) wrong based on 124 sessions

HideShow timer Statistics

What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35
[Reveal] Spoiler: OA

_________________

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 [?]: 135256 [0], given: 12679

Expert Post
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5336

Kudos [?]: 6088 [0], given: 121

Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 04:16
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35



The integer is nothing but 7*p*p
P can be 2 at the lowest value, so 7*2*2=28
D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6088 [0], given: 121

Intern
Intern
avatar
B
Joined: 04 Sep 2017
Posts: 9

Kudos [?]: 5 [0], given: 83

Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 06:53
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35


To get the smallest integer we need to multiply 7 with the smallest prime number, which is 2.
2*7 = 14.
Answer - B

Kudos [?]: 5 [0], given: 83

Expert Post
1 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5336

Kudos [?]: 6088 [1], given: 121

Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 06:56
1
This post received
KUDOS
Expert's post
Sprincejindal wrote:
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35


To get the smallest integer we need to multiply 7 with the smallest prime number, which is 2.
2*7 = 14.
Answer - B


thats a TRAP.
Be careful while reading Q..
Quote:
smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number

in your calculation 14/14 will leave 1 whereas Q says it should yield a prime number
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6088 [1], given: 121

Intern
Intern
avatar
B
Joined: 14 Jan 2017
Posts: 3

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

What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 07:19
Quote:
smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number


First of all can product of a prime number mean prime*1? Its the product of a prime, right?

Secondly doesn't it mean that division by 7 should yield a prime aswell? Thereby making the answer either B or E.

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

Intern
Intern
User avatar
B
Joined: 29 May 2012
Posts: 37

Kudos [?]: 5 [0], given: 11

Premium Member
Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 07:43
IMO, it is D. 7 x 2 x 2 = 28.

Kudos [?]: 5 [0], given: 11

Intern
Intern
avatar
B
Joined: 04 Sep 2017
Posts: 9

Kudos [?]: 5 [0], given: 83

What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 12 Nov 2017, 10:48
1
This post was
BOOKMARKED
chetan2u wrote:
Sprincejindal wrote:
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35


To get the smallest integer we need to multiply 7 with the smallest prime number, which is 2.
2*7 = 14.
Answer - B


thats a TRAP.
Be careful while reading Q..
Quote:
smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number

in your calculation 14/14 will leave 1 whereas Q says it should yield a prime number


Oh yes, you are right!
So the integer is 2*2*7 and it can be divided with the product of 2*7 to yield 2, which is a prime number. Right?
Thanks!

Kudos [?]: 5 [0], given: 83

Manager
Manager
avatar
B
Joined: 11 Feb 2017
Posts: 175

Kudos [?]: 10 [0], given: 198

Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 13 Nov 2017, 07:46
chetan2u wrote:
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35



The integer is nothing but 7*p*p
P can be 2 at the lowest value, so 7*2*2=28
D


How do u know it should be p * p * 7 and not just p*7 ?

the product of a prime number and 7 means A prime number means just one NUMBER .....Like product of 7 and 8........How cn u tell that its product of p * p

Kudos [?]: 10 [0], given: 198

Expert Post
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5336

Kudos [?]: 6088 [0], given: 121

Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 13 Nov 2017, 07:52
rocko911 wrote:
chetan2u wrote:
Bunuel wrote:
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

(A) 7

(B) 14

(C) 24

(D) 28

(E) 35



The integer is nothing but 7*p*p
P can be 2 at the lowest value, so 7*2*2=28
D


How do u know it should be p * p * 7 and not just p*7 ?

the product of a prime number and 7 means A prime number means just one NUMBER .....Like product of 7 and 8........How cn u tell that its product of p * p



hi

Quote:
smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number


this means when you divide that integer by PRODUCT of p and 7, it should yield another prime number..
why p*p because we have to find the smallest number, so we will take p as the smallest prime number and what is remaining also as p, which should be 2
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6088 [0], given: 121

1 KUDOS received
Intern
Intern
avatar
B
Joined: 19 Sep 2011
Posts: 28

Kudos [?]: 4 [1], given: 9

GMAT ToolKit User Premium Member
Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 15 Nov 2017, 19:35
1
This post received
KUDOS
6urra wrote:
Quote:
smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number


First of all can product of a prime number mean prime*1? Its the product of a prime, right?

Secondly doesn't it mean that division by 7 should yield a prime aswell? Thereby making the answer either B or E.



in case of first you are incorrect 1 is not Prime ,
Second you are partially correct you missed an info : the question asks for the smallest integer and 28< 35 . Hence the answer has to be D.


be generous with kudos if you like the answer

Kudos [?]: 4 [1], given: 9

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10351

Kudos [?]: 3669 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: What is the smallest integer that can be divided by the product of a [#permalink]

Show Tags

New post 04 Dec 2017, 14:14
1
This post received
KUDOS
Expert's post
Hi All,

We're asked to find the smallest integer that can be DIVIDED by the PRODUCT of a PRIME number and 7 AND will yield a PRIME number as the result. We can answer this question by TESTing THE ANSWERS.

Since we're asked for the SMALLEST number that will fit the above information, we should start with Answer A: 7....

The smallest product that can occur between 7 and a prime is (7)(2) = 14. 7 is NOT divisibly by 14, so we can eliminate Answer A.

Answer B: 14...

While 14 is divisible by 14, the end result is 1 - but that is NOT a prime number. Eliminate Answer B.

Answer C: 24

24/14 is NOT a prime. The next two products to consider would be (7)(3) = 21 and (7)(5) = 35. However, 24/21 and 24/35 are NOT primes. Eliminate Answer C.

Answer D: 28
28/14 = 2 - and that IS a prime. This matches everything we were told, so this must be the answer.

Final Answer:
[Reveal] Spoiler:
D


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3669 [1], given: 173

Re: What is the smallest integer that can be divided by the product of a   [#permalink] 04 Dec 2017, 14:14
Display posts from previous: Sort by

What is the smallest integer that can be divided by the product of a

  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®.