The "length of integer x" refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?
13
10
9
7
6
OA B
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Kaplan
This topic has expert replies
-
das.ashmita
- Master | Next Rank: 500 Posts
- Posts: 118
- Joined: Mon May 21, 2012 10:07 pm
- Thanked: 23 times
- Followed by:4 members
-
anuprajan5
- Master | Next Rank: 500 Posts
- Posts: 279
- Joined: Mon Jun 25, 2012 10:56 pm
- Thanked: 60 times
- Followed by:10 members
Ashmita,
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT. That being said, I am giving it a shot. My rationale is that if we want to increase the length, it might be easier to take the smallest prime and see what we get.
What I found was that Z = 2^10 = 1024 which means that the length of z cannot be more than 10 if z<1080.
Regards
Anup
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT. That being said, I am giving it a shot. My rationale is that if we want to increase the length, it might be easier to take the smallest prime and see what we get.
What I found was that Z = 2^10 = 1024 which means that the length of z cannot be more than 10 if z<1080.
Regards
Anup
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
I think I'm the expert your referring to (in this post: https://www.beatthegmat.com/length-t122379.html)anuprajan5 wrote:Ashmita,
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT.
I didn't mean to suggest that this could never be an official GMAT question. I meant to say that it could never be an official GMAT question if it didn't the define "length of integer."
In the question in the above link, the term is not defined.
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
To maximize the length of z, we should use the smallest possible prime number (which is 2)das.ashmita wrote:The "length of integer x" refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,080?
13
10
9
7
6
OA B
We know that 2^10 = 1024 and 2^11 = 2048
Since x < 1080, z cannot equal 2048
So, if z = 1024 it will have length 10.
So, the answer here is [spoiler]10 (B)[/spoiler]
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
-
anuprajan5
- Master | Next Rank: 500 Posts
- Posts: 279
- Joined: Mon Jun 25, 2012 10:56 pm
- Thanked: 60 times
- Followed by:10 members
Brent@GMATPrepNow wrote:I think I'm the expert your referring to (in this post: https://www.beatthegmat.com/length-t122379.html)anuprajan5 wrote:Ashmita,
I kind of saw a similar question on the forums and the expert mentioned that length questions might not appear on the GMAT.
I didn't mean to suggest that this could never be an official GMAT question. I meant to say that it could never be an official GMAT question if it didn't the define "length of integer."
In the question in the above link, the term is not defined.
Cheers,
Brent
My bad, Brent.
Regards
Anup
