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

 It is currently 14 Nov 2018, 06:07

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# A four-digit number with consecutive positive integers is a product of

Author Message
TAGS:

### Hide Tags

VP
Joined: 07 Dec 2014
Posts: 1111
A four-digit number with consecutive positive integers is a product of  [#permalink]

### Show Tags

14 Sep 2018, 12:57
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

75% (02:01) correct 25% (02:40) wrong based on 28 sessions

### HideShow timer Statistics

A four-digit number with consecutive positive integers is a product of 2x and x^2. What is the sum of these two factors?

A. 80
B. 99
C. 168
D. 224
E. 288
Math Expert
Joined: 02 Aug 2009
Posts: 7028
A four-digit number with consecutive positive integers is a product of  [#permalink]

### Show Tags

14 Sep 2018, 20:37
2
gracie wrote:
A four-digit number with consecutive positive integers is a product of 2x and x^2. What is the sum of these two factors?

A. 80
B. 99
C. 168
D. 224
E. 288

Number is 4-digit and =2x*x^2=2x^3, thus an even number..
Cases
1) 1234..
$$2x^3=1234....x^3=617... Between 8^3--9^3$$ , so no integer value possible
2) 3456..
$$2x^3=3456......x^3=1728......x=12$$, so we have a possible value
We are looking for $$2x+x^2=2*12+12^2=24+144=168$$

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

A four-digit number with consecutive positive integers is a product of &nbs [#permalink] 14 Sep 2018, 20:37
Display posts from previous: Sort by