Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 20:53

### 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 n is an integer from 1 to 96 (inclusive), how m

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 28 Mar 2017
Posts: 1212
Location: India
GMAT 1: 730 Q49 V41
GPA: 4
If n is an integer from 1 to 96 (inclusive), how m  [#permalink]

### Show Tags

21 Feb 2018, 02:34
2
00:00

Difficulty:

75% (hard)

Question Stats:

44% (02:02) correct 56% (02:16) wrong based on 66 sessions

### HideShow timer Statistics

If n is an integer from 1 to 96 (inclusive), how many numbers of the form n*(n+1)*(n+2) are divisible by 8?

A. 20
B. 30
C. 40
D. 50
E. 60

_________________
Retired Moderator
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
If n is an integer from 1 to 96 (inclusive), how m  [#permalink]

### Show Tags

21 Feb 2018, 02:58
1
2
gmatexam439 wrote:
If n is an integer from 1 to 96 (inclusive), how many numbers of the form n*(n+1)*(n+2) are divisible by 8?

A. 20
B. 30
C. 40
D. 50
E. 60

n is an integer 1 to n inclusive

let n = 2

2x3x4 divisble by 8

n = 4

4x5x6

n=6
6x7x8

for all even n(n+1)(n+2) is divisible by
so from 1 to 96 even = 96/2 = 48

now check for odd values

if n = 7
7x8x9

n=15
15x16x17

n=23

23x24x25

for n=7,15,23 i.e (k-1) where k = multiple of 8 n(n+1)(n+2) is divisible by 8 from 1 to 86 there are 12 values of k (96/8=12)

thus 48 even + 12 odd = 60

(E) imo
Math Expert
Joined: 02 Sep 2009
Posts: 56257
Re: If n is an integer from 1 to 96 (inclusive), how m  [#permalink]

### Show Tags

21 Feb 2018, 03:26
gmatexam439 wrote:
If n is an integer from 1 to 96 (inclusive), how many numbers of the form n*(n+1)*(n+2) are divisible by 8?

A. 20
B. 30
C. 40
D. 50
E. 60

Check here: https://gmatclub.com/forum/if-an-intege ... 26654.html
_________________
Director
Joined: 31 Jul 2017
Posts: 515
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If n is an integer from 1 to 96 (inclusive), how m  [#permalink]

### Show Tags

21 Feb 2018, 18:45
1
gmatexam439 wrote:
If n is an integer from 1 to 96 (inclusive), how many numbers of the form n*(n+1)*(n+2) are divisible by 8?

A. 20
B. 30
C. 40
D. 50
E. 60

Hi gmatexam439

First - $$n*(n+1)*(n+2)$$ will be divisible by 8 when n = 2,4,6,8..........96. So, here we have 48 Numbers. So, only Option D & E left.
Now, check out all the numbers when added with 1 should be divisible by 8. (You just have to find 3 Numbers to rule out Option D as we already know from above we have 48 numbers).

$$N = 7,15,23$$ etc.

Only option E is there.
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
Re: If n is an integer from 1 to 96 (inclusive), how m   [#permalink] 21 Feb 2018, 18:45
Display posts from previous: Sort by