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what is the least possible value of k? [#permalink]
16 Jan 2010, 04:30

00:00

A

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Difficulty:

5% (low)

Question Stats:

100% (03:08) correct
0% (00:00) wrong based on 1 sessions

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 04:38

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 09:15

1

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 09:38

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 10:07

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 10:23

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: what is the least possible value of k? [#permalink]
16 Jan 2010, 12:02

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: what is the least possible value of k? [#permalink]
31 Jan 2010, 08:17

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..!
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Re: what is the least possible value of k? [#permalink]
01 Feb 2010, 11:18

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.
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