The function f is defined for all ...

This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Mon Dec 10, 2007 1:35 pm
Location: London, UK
Thanked: 19 times
GMAT Score:680

The function f is defined for all ...

by II » Fri Nov 28, 2008 12:02 pm
Hi,

I know the answer to this ... but am interested in learning about the various approaches people take to answer this one.
You thinking/logic to answer this please.

Thanks.
II
Attachments
The function f is defined for all.jpg

Legendary Member
Posts: 1153
Joined: Wed Jun 20, 2007 6:21 am
Thanked: 146 times
Followed by:2 members

by parallel_chase » Fri Nov 28, 2008 2:07 pm
let n= 9

F(n) = 1,2,4,5,7,8

Similarly,

if p is prime number, lets say 5
f(p) = 1,2,3,4

if p = 7
f(p) = 1,2,3,4,5,6

if p=11
f(p) = 1,2,3,4,5,6,7,8,9,10

Clearly from above pattern we can say that p-1 is the answer.

Hence A
No rest for the Wicked....

Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pm
Thanked: 331 times
Followed by:11 members

by cramya » Fri Nov 28, 2008 2:26 pm
I cant think of a shorter approach than what parallel chase has done by picking some primes and then getting to a genric formula.

User avatar
Legendary Member
Posts: 2134
Joined: Mon Oct 20, 2008 11:26 pm
Thanked: 237 times
Followed by:25 members
GMAT Score:730

by logitech » Fri Nov 28, 2008 4:28 pm
ANY PRIME...is the helper in the kitchen:

P=2

f(p) = 1

A) p-1

That's it.
LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"

Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pm
Thanked: 331 times
Followed by:11 members

by cramya » Fri Nov 28, 2008 4:52 pm
ANY PRIME...is the helper in the kitchen:
Similar approach to what paralle chase did. I am sure we will be checking atleast one more prime (alteast I will) to make sure it is p-1 in the real GMAT.

Like I always say different minds think differently(may be u will stop wiht just 1 and be 100% confident about it :-))

I got to play catch up for the extra 5-10 secs I took to check with one/two more primes :-)

Regards,
CR

User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Mon Dec 10, 2007 1:35 pm
Location: London, UK
Thanked: 19 times
GMAT Score:680

by II » Sat Nov 29, 2008 5:02 am
yeah .. thanks guys !