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

It is currently 14 Oct 2019, 08:41

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

When three consecutive integers are multiplied together, the result is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58316
When three consecutive integers are multiplied together, the result is  [#permalink]

Show Tags

New post 19 Feb 2019, 01:20
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (01:57) correct 26% (01:46) wrong based on 42 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 18 Nov 2018
Posts: 26
Re: When three consecutive integers are multiplied together, the result is  [#permalink]

Show Tags

New post 19 Feb 2019, 01:33
D is the answer. Defactorize 17550 to prime numbers - 2 x 3^3 x 5^2 x 13. 28 cant be a number as 28 = 4x7 and 4 is not in the factor. Move down and we have 27 and the others are 26 and 25

Posted from my mobile device
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1472
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
When three consecutive integers are multiplied together, the result is  [#permalink]

Show Tags

New post 19 Feb 2019, 02:48
Bunuel wrote:
When three consecutive integers are multiplied together, the result is 17,550. What is the greatest of these three integers?

A. 24
B. 25
C. 26
D. 27
E. 28



Prime factorization will help us in this regard.

17550 = 1755 *10 = 5*351*5*2=5*3*117*5*2=5*3*3*39*5*2=5*3*3*3*13*5*2.

5*3*3*3*13*5*2

scan the answer options.

E ) 28. the greatest integer. but it's not possible by any combination of prime. discarded.

D) 27. possible. 3*3*3 = 27. but we have to verify that 27 must be the part of consecutive integers.

3*3*3 = 27
13*2 = 26
5*5=25.

(25)(26)(27) = 17550.

Thus , greatest integer is 27.

D is the correct answer.
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4978
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: When three consecutive integers are multiplied together, the result is  [#permalink]

Show Tags

New post 19 Feb 2019, 04:21
Bunuel wrote:
When three consecutive integers are multiplied together, the result is 17,550. What is the greatest of these three integers?

A. 24
B. 25
C. 26
D. 27
E. 28


since the value 17,550 has 0 so one of the integers with which its multiplies has to be ending with 5 or 0
given options we have 25 ; so range can be 23*24*25 , 25*26*27 , 24,25,26
only three possiblities
out of which 25,26,27 fits right
IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: When three consecutive integers are multiplied together, the result is   [#permalink] 19 Feb 2019, 04:21
Display posts from previous: Sort by

When three consecutive integers are multiplied together, the result is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne