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:

Re: A Medium question, pls help me to explain [#permalink]

Show Tags

24 Jul 2011, 04:13

tracyyahoo wrote:

If x is the product of three consecutive positive integers, which of the following must be true?

I. x is an integer multiple of 3.

II. x is an integer multiple of 4

III. x is an integer multiple of 6

a) I only b) II only c) I and II only d) I and III only e) I,II and III

pls tell the process of calculation.

The answer should be D i.e. X will be an integer and multiple of 3 and 6.

Let us take example n, n+1, n+2 as 3 three consecutive positive integers. In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12 Hence in a product of 3 consecutive integers, the product is always divisible by 3. Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.

Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even

Re: A Medium question, pls help me to explain [#permalink]

Show Tags

24 Jul 2011, 20:45

suppose we have 4 plus 5 plus 6. The sum of these three integer is not multipled by 6. Could explain me why II is correct as well. Thank u.

Sudhanshuacharya wrote:

tracyyahoo wrote:

If x is the product of three consecutive positive integers, which of the following must be true?

I. x is an integer multiple of 3.

II. x is an integer multiple of 4

III. x is an integer multiple of 6

a) I only b) II only c) I and II only d) I and III only e) I,II and III

pls tell the process of calculation.

The answer should be D i.e. X will be an integer and multiple of 3 and 6.

Let us take example n, n+1, n+2 as 3 three consecutive positive integers. In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12 Hence in a product of 3 consecutive integers, the product is always divisible by 3. Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.

Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even

Re: A Medium question, pls help me to explain [#permalink]

Show Tags

25 Jul 2011, 00:53

tracyyahoo wrote:

suppose we have 4 plus 5 plus 6. The sum of these three integer is not multipled by 6. Could explain me why II is correct as well. Thank u.

Sudhanshuacharya wrote:

tracyyahoo wrote:

If x is the product of three consecutive positive integers, which of the following must be true?

I. x is an integer multiple of 3.

II. x is an integer multiple of 4

III. x is an integer multiple of 6

a) I only b) II only c) I and II only d) I and III only e) I,II and III

pls tell the process of calculation.

The answer should be D i.e. X will be an integer and multiple of 3 and 6.

Let us take example n, n+1, n+2 as 3 three consecutive positive integers. In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12 Hence in a product of 3 consecutive integers, the product is always divisible by 3. Now, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.

Now for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even

Posted from my mobile device

Tracy: I guess the question is asking for product of 3 numbers and not addition.

Re: A Medium question, pls help me to explain [#permalink]

Show Tags

27 Jul 2011, 03:29

Product of three consecutive integers a) it will always be a multiple of 3 as every third number is a multiple of 3 b) it is not necessary a multiple of 4 e.g. 5,6,7. The product of these numbers is not a multiple of 4 c) the product of 3 consecutive numbers is a multiple of 6(3 and 2) as, it will be a multiple of 3 and every 2nd number is a multiple of 2. So the product will be a multiple of 6

Hence, the answer is D

gmatclubot

Re: A Medium question, pls help me to explain
[#permalink]
27 Jul 2011, 03:29

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...