GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Jul 2018, 07:50

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

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: 47168
What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 16 Aug 2017, 00:21
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (00:48) correct 44% (00:42) wrong based on 140 sessions

HideShow timer Statistics

Intern
Intern
User avatar
B
Joined: 28 May 2017
Posts: 18
Re: What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 16 Aug 2017, 00:28
According to me it is d 28

Coz 7*2=14
Here both 7 and 2 are prime and when their product which is 14 divides 28 quotient is 2
Which is also a prime no


Sent from my iPhone using GMAT Club Forum
1 KUDOS received
Intern
Intern
User avatar
B
Joined: 19 Apr 2017
Posts: 11
Concentration: Strategy, Finance
Re: What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 16 Aug 2017, 01:50
1
let the smallest number be n .
n has to be of the form p1*7*p2.
(n/p1*7) would result in p2 . since p1 and 7 cannot be further broken down

a.7 p1=1 ,gives result 1=(not prime) false
b.14 p1=2 ,gives 1 not prime
c.24 not divisible by 7
d.28 => 4x7/2x7 gives 2 => p1 & p2 =2 ,condition holds . correct answer
e.35 p1=5 ,gives 1 (not prime)
1 KUDOS received
CR Forum Moderator
User avatar
P
Status: He came. He saw. He conquered. -- Studying for the LSAT -- Corruptus in Extremis
Joined: 31 Jul 2017
Posts: 283
Location: United States
Concentration: Finance, Economics
Reviews Badge
Re: What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 17 Aug 2017, 14:15
1
2 is the smallest prime number, so we will use this because we want the smallest possible prime number; 7*2 = 14.

7/14 = Non integer
14/14 = 1 Not prime
24/14 = Non integer
28/14 = 2 Prime number!
35/14 = Non integer
_________________

D-Day: November 18th, 2017

Need a laugh and a break? Go here: https://gmatclub.com/forum/mental-break-funny-videos-270269.html

Expert Post
GMAT Tutor
avatar
S
Joined: 24 Jun 2008
Posts: 1345
Re: What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 17 Aug 2017, 15:18
We want to find the smallest integer n, where

n/7p = q

and p and q are primes. So

n = 7pq

To make n as small as possible, we want to make the primes p and q as small as possible, so we want p and q to be 2, and n = 28.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Manager
Manager
avatar
B
Joined: 07 Jun 2017
Posts: 103
Re: What is the smallest integer that can be divided by the product of a  [#permalink]

Show Tags

New post 17 Aug 2017, 21:37
s/ 14(7*2) = prime

(A) 7/14 =X
(B) 14/14 =1
(C) 24/14 =X
(D) 28/14 =2
(E) 35/14 = X

Answer = D
Re: What is the smallest integer that can be divided by the product of a &nbs [#permalink] 17 Aug 2017, 21:37
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  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.