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

 It is currently 14 Oct 2019, 08:41

### 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

# When three consecutive integers are multiplied together, the result is

Author Message
TAGS:

### Hide Tags

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

### Show Tags

19 Feb 2019, 01:20
00:00

Difficulty:

35% (medium)

Question Stats:

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

### HideShow timer Statistics

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

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

### Show Tags

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
Joined: 31 Oct 2013
Posts: 1472
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
When three consecutive integers are multiplied together, the result is  [#permalink]

### Show Tags

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

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.

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

### Show Tags

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.
Re: When three consecutive integers are multiplied together, the result is   [#permalink] 19 Feb 2019, 04:21
Display posts from previous: Sort by