It is currently 26 Jun 2017, 19:39

### 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 June
Open Detailed Calendar

# If an integer n is to be chosen at random from the integers

Author Message
Senior Manager
Joined: 14 Jul 2006
Posts: 281
If an integer n is to be chosen at random from the integers [#permalink]

### Show Tags

22 Aug 2006, 09:41
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
Manager
Joined: 25 Jul 2006
Posts: 99

### Show Tags

22 Aug 2006, 09:52
total ways to select n = 94

# of multiples of 8 from 1-96 = 12
These can be either n, n+1, n+2 => # of possible combinations = 12*3 = 36

also if either n or n+2 is a multiple of 4; the product will be a multiple of 8;
so # of multiple of 4 from 1-96 = 24; # of distinct multiples of 4 = 12
and these nos can be either n or n+2 => # of combinations = 12*2

so total = 60/94
Senior Manager
Joined: 14 Jul 2006
Posts: 281

### Show Tags

22 Aug 2006, 09:54
hey ur ryt on the money with the official answer except i think ur denominator should be 96 not 94
Thanks
22 Aug 2006, 09:54
Display posts from previous: Sort by