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

 It is currently 25 Apr 2019, 17:35

### 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

# If x is the smallest positive integer that is divisible by each of the

Author Message
TAGS:

### Hide Tags

Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1327
Location: Malaysia
If x is the smallest positive integer that is divisible by each of the  [#permalink]

### Show Tags

Updated on: 29 Jan 2017, 06:34
1
2
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:19) correct 32% (01:59) wrong based on 87 sessions

### HideShow timer Statistics

If $$x$$ is the smallest positive integer that is divisible by each of the integers from $$24$$ to $$27$$ inclusive, which of the following statements must be true?

I) $$x > 3200$$
II) $$x$$ is a multiple of $$90$$
III) $$500$$ is a factor of $$x$$

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

_________________
"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Originally posted by hazelnut on 28 Jan 2017, 17:36.
Last edited by hazelnut on 29 Jan 2017, 06:34, edited 1 time in total.
SC Moderator
Joined: 13 Apr 2015
Posts: 1685
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: If x is the smallest positive integer that is divisible by each of the  [#permalink]

### Show Tags

28 Jan 2017, 20:48
x = 24 * 25 * 26 * 27
x = $$(2^2 * 3^2 * 5)^2 * 13$$

I) x>3200 - Yes

II) x is a multiple of 90. - Yes

III)500 is a factor of x. - No

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4426
Location: India
GPA: 3.5
Re: If x is the smallest positive integer that is divisible by each of the  [#permalink]

### Show Tags

28 Jan 2017, 23:19
ziyuenlau wrote:
If x is the smallest positive integer that is divisible by each of the integers from 24 to 27 inclusive,which of the following statements must be true?

I)x>3200
II)x is a multiple of 90.
III)500 is a factor of x.

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

x = LCM of 24,25,26 & 27 = 70200

I)x>3200 - True
II)x is a multiple of 90. - True

III)500 is a factor of x. - False

Thus, only (C) I and II follows....
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Non-Human User
Joined: 09 Sep 2013
Posts: 10638
Re: If x is the smallest positive integer that is divisible by each of the  [#permalink]

### Show Tags

11 Apr 2019, 18:33
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: If x is the smallest positive integer that is divisible by each of the   [#permalink] 11 Apr 2019, 18:33
Display posts from previous: Sort by