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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 05:30

1

This post received KUDOS

19

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

75% (hard)

Question Stats:

57% (02:26) correct
43% (01:43) wrong based on 266 sessions

HideShow timer Statistics

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 05:38

apoorvasrivastva wrote:

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k? (A) 12 (B) 14 (C) 15 (D) 21 (E) 25

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 10:15

2

This post received KUDOS

since 3675= 5*5*7*7*3 my answer is B because in 14! there are 5 and 10 and multiply together they are divisible by 5*5 there are 14 and 7 for the 7*7... isnt it?

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 10:38

lucalelli88 wrote:

since 3675= 5*5*7*7*3 my answer is B because in 14! there are 5 and 10 and multiply together they are divisible by 5*5 there are 14 and 7 for the 7*7... isnt it?

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 11:07

lucalelli88 wrote:

since 3675= 5*5*7*7*3 my answer is B because in 14! there are 5 and 10 and multiply together they are divisible by 5*5 there are 14 and 7 for the 7*7... isnt it?

could u please explain the part in red..how did u narrow down on 14!

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 11:23

1

This post received KUDOS

apoorvasrivastva wrote:

lucalelli88 wrote:

since 3675= 5*5*7*7*3 my answer is B because in 14! there are 5 and 10 and multiply together they are divisible by 5*5 there are 14 and 7 for the 7*7... isnt it?

could u please explain the part in red..how did u narrow down on 14!

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jan 2010, 13:02

nitishmahajan wrote:

apoorvasrivastva wrote:

lucalelli88 wrote:

since 3675= 5*5*7*7*3 my answer is B because in 14! there are 5 and 10 and multiply together they are divisible by 5*5 there are 14 and 7 for the 7*7... isnt it?

could u please explain the part in red..how did u narrow down on 14!

We basically need 5,5,3,7 and 7 in the number.

14!, has 3, 5, 7, 10, 14

now 10 = 2 x5 14 = 2x 7

hence we get all the numbers which we need.

oppps i missed out the on the question stem least possible....arrrgggghhhh...silly me!!

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

31 Jan 2010, 09:17

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k? (A) 12 (B) 14 (C) 15 (D) 21 (E) 25

K! = 3675 * M (M is a postive integer)

K! = 3 * 5 * 5 * 7 * 7

14! has all the numbers above.. therefore B..!
_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

I'd be curious to know the source of this question; recently I've seen several questions (like this one) posted on forums which are identical to official questions with one number changed, and I'm interested to know where they're from.
_________________

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

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

29 Mar 2016, 09:26

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.
_________________

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

06 Apr 2016, 23:17

jeeteshsingh wrote:

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k? (A) 12 (B) 14 (C) 15 (D) 21 (E) 25

K! = 3675 * M (M is a postive integer)

K! = 3 * 5 * 5 * 7 * 7

14! has all the numbers above.. therefore B..!

How did you conclude that 14! has all the numbers (and why not any other option). I don't know how to solve such questions. Please suggest

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

07 Apr 2016, 23:25

MeghaP wrote:

jeeteshsingh wrote:

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k? (A) 12 (B) 14 (C) 15 (D) 21 (E) 25

K! = 3675 * M (M is a postive integer)

K! = 3 * 5 * 5 * 7 * 7

14! has all the numbers above.. therefore B..!

How did you conclude that 14! has all the numbers (and why not any other option). I don't know how to solve such questions. Please suggest

See here in order to get 3675 we need two sevens and two fives and one two in the factorial here two sevens will happen only at 14 and 14 contains all the multiples needed

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

27 Apr 2016, 17:22

sunnypatel wrote:

At what level do you guys think your start to see this level of difficulty? 700-740? 750+?

I am not Gmat Expert ; But maybe Around 650-680 P.S => Continue to practise these Questions on the gmatclub ..Try a few others of the same category and after a few weeks you will be saying that this question has 600 level of difficulty. Regards StoneCold
_________________

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

16 Jun 2016, 11:18

K* is a multiple of 3675 means 3675 multiple by some no. N = K* (3675 x N = K*).

To find N, K* should be divisible by 3675.

So 1x2x3x4....xK should be divisible by 3675

Prime factorisation of 3675 is 5*5*7*7*3 (LCM)

So 1x2x3x4....xK should be divisible by (5*5*7*7*3)

Thus nos. in 1x2x3x4....xK should contain at least 2 smallest nos. which can be divided by two 5s (5 and 10 will do so) nos. in 1x2x3x4....xK should contain at least 2 smallest nos. which can be divided by two 7s (7 and 14 will do so) nos. in 1x2x3x4....xK should contain at least 1 smallest no. which can be divided by the single 3 ( 3 will do so).

The sequence 1x2x3x4x5x6x7x8x9x10x11x12x13x14 is the smallest sequence that contains at least one multiple of 3, 2 multiples of 5 and 2 multiples of 7.

Re: For any integer k greater than 1, the symbol k* denotes the product of [#permalink]

Show Tags

18 Jul 2016, 06:43

apoorvasrivastva wrote:

For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 3,675, what is the least possible value of k?

(A) 12 (B) 14 (C) 15 (D) 21 (E) 25

Quote:

Hi Bunuel, Can you please provide a detailed explanation of the solution to this problem? Thanks again!

Regards, Yosita

gmatclubot

Re: For any integer k greater than 1, the symbol k* denotes the product of
[#permalink]
18 Jul 2016, 06:43

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...