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

 It is currently 21 Oct 2019, 23:12

### 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 the product of 3 consecutive integers is 210, then the sum of the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58398
If the product of 3 consecutive integers is 210, then the sum of the  [#permalink]

### Show Tags

28 Jan 2019, 04:48
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:25) correct 11% (01:38) wrong based on 45 sessions

### HideShow timer Statistics

If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is ?

(A) 5
(B) 11
(C) 12
(D) 13
(E) 18

_________________
VP
Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If the product of 3 consecutive integers is 210, then the sum of the  [#permalink]

### Show Tags

28 Jan 2019, 05:03
Bunuel wrote:
If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is ?

(A) 5
(B) 11
(C) 12
(D) 13
(E) 18

3 consecutive integers.

5 can be the sum of 2 consecutive integer. 3 + 2 = 5. So, 2*3*4 = 24. fail to meet the condition.

11 = 5 + 6 . could be.

12 can't sum of 2 consecutive integers.

13 = 6 + 7 . could be.

18 can't be the sum of 2 consecutive integers

if we consider 6 and 7 are the 2 smaller integers, 3rd will be 8 in this case. but 6*7*8 will not yield 210.

Thus , 3 consecutive integers will be 5*6*7 = 210.

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If the product of 3 consecutive integers is 210, then the sum of the  [#permalink]

### Show Tags

28 Jan 2019, 06:43
Bunuel wrote:
If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is ?

(A) 5
(B) 11
(C) 12
(D) 13
(E) 18

210 = 5*6*7
5+6 = 11
IMO B
VP
Joined: 07 Dec 2014
Posts: 1224
If the product of 3 consecutive integers is 210, then the sum of the  [#permalink]

### Show Tags

28 Jan 2019, 15:23
1
Bunuel wrote:
If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is ?

(A) 5
(B) 11
(C) 12
(D) 13
(E) 18

210=(x-1)(x)(x+1)→
x^3-210=x
next perfect cube>210 is 6^3=216
216-210=6=x
x-1=5
5+6=11
B
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)
Re: If the product of 3 consecutive integers is 210, then the sum of the  [#permalink]

### Show Tags

30 Jan 2019, 19:08
Bunuel wrote:
If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is ?

(A) 5
(B) 11
(C) 12
(D) 13
(E) 18

If the product of 3 consecutive integers is 210, then one of the integers is approximately the cube root of 210. Since ∛210 is approximately (but just less than) 6, we can guess that one of the consecutive integers is 6. Dividing 210 by 6, we obtain 35, which is 5 x 7, so we see that 210 = 5 x 6 x 7. The sum of the two smallest of these consecutive integers is 5 + 6 = 11. .

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If the product of 3 consecutive integers is 210, then the sum of the   [#permalink] 30 Jan 2019, 19:08
Display posts from previous: Sort by