It is currently 18 Jan 2018, 20:02

### 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

# If n is the product of the first 10 prime numbers, which of the follow

Author Message
TAGS:

### Hide Tags

Current Student
Joined: 12 Aug 2015
Posts: 297

Kudos [?]: 615 [0], given: 1476

Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
If n is the product of the first 10 prime numbers, which of the follow [#permalink]

### Show Tags

12 Sep 2015, 23:02
3
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:43) correct 28% (00:36) wrong based on 127 sessions

### HideShow timer Statistics

If n is the product of the first 10 prime numbers, which of the following is an integer?

I. $$\frac{n}{7}$$

II. $$\frac{n}{4}$$

III. $$\frac{n}{143}$$

A. I only
B. I and II only
C. I and III only
D. III only
E. I, II, and III
[Reveal] Spoiler: OA

_________________

KUDO me plenty

Kudos [?]: 615 [0], given: 1476

Intern
Joined: 26 Aug 2014
Posts: 49

Kudos [?]: 36 [0], given: 65

GMAT 1: 650 Q49 V30
GMAT 2: 650 Q49 V31
WE: Programming (Computer Software)
Re: If n is the product of the first 10 prime numbers, which of the follow [#permalink]

### Show Tags

13 Sep 2015, 00:46
1
This post was
BOOKMARKED
The product of first 10 prime numbers is: 2*3*5*7*11*13*17*19*23*29 = n
I) n/7 is an integer --> Yes (It is a part of the product)
II) n/4 is an integer --> No (2 is present only once in the product, not twice)
III) n/143 is an integer --> Yes (Both 11 and 13 are a part of the product)

Ans: C

Kudos [?]: 36 [0], given: 65

Non-Human User
Joined: 09 Sep 2013
Posts: 14241

Kudos [?]: 291 [0], given: 0

Re: If n is the product of the first 10 prime numbers, which of the follow [#permalink]

### Show Tags

12 Sep 2017, 04:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 291 [0], given: 0

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1820

Kudos [?]: 1048 [0], given: 5

Re: If n is the product of the first 10 prime numbers, which of the follow [#permalink]

### Show Tags

15 Sep 2017, 08:41
If n is the product of the first 10 prime numbers, which of the following is an integer?

I. $$\frac{n}{7}$$

II. $$\frac{n}{4}$$

III. $$\frac{n}{143}$$

A. I only
B. I and II only
C. I and III only
D. III only
E. I, II, and III

Looking at each Roman numeral, we see that II is n/2^2 and III is n/(11 x 13).

Since 7 is included in the product of the first 10 prime numbers as well as 11 x 13, while 2^2 is not, only 7 and 143 will divide n.

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1048 [0], given: 5

Re: If n is the product of the first 10 prime numbers, which of the follow   [#permalink] 15 Sep 2017, 08:41
Display posts from previous: Sort by